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131403122120000 = 26545416072233
BaseRepresentation
bin11101111000001010101100…
…011010101001010101000000
3122020021000102111211012201202
4131320022230122221111000
5114210402043230320000
61143245432210320332
736451363602015263
oct3570125432512500
9566230374735652
10131403122120000
1138961829845485
12128a297b8890a8
135842351c60433
142463d332bccda
15102d16b870dd5
hex7782ac6a9540

131403122120000 has 140 divisors (see below), whose sum is σ = 326439377176836. Its totient is φ = 52464084480000.

The previous prime is 131403122119993. The next prime is 131403122120107. The reversal of 131403122120000 is 21221304131.

131403122120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 79349898516736 + 52053223603264 = 8907856^2 + 7214792^2 .

It is a super-3 number, since 3×1314031221200003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18603884 + ... + 24676116.

Almost surely, 2131403122120000 is an apocalyptic number.

131403122120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163219688588418).

131403122120000 is an abundant number, since it is smaller than the sum of its proper divisors (195036255056836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131403122120000 is an frugal number, since it uses more digits than its factorization.

131403122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072806 (or 6072781 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131403122120000 its reverse (21221304131), we get a palindrome (131424343424131).

The spelling of 131403122120000 in words is "one hundred thirty-one trillion, four hundred three billion, one hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 541 625 800 1000 1082 1250 1600 2000 2164 2500 2705 4000 4328 5000 5410 8000 8656 10000 10820 13525 17312 20000 21640 27050 34624 40000 43280 54100 67625 86560 108200 135250 173120 216400 270500 338125 432800 541000 676250 865600 1082000 1352500 2164000 2705000 4328000 5410000 6072233 10820000 12144466 21640000 24288932 30361165 48577864 60722330 97155728 121444660 151805825 194311456 242889320 303611650 388622912 485778640 607223300 759029125 971557280 1214446600 1518058250 1943114560 2428893200 3036116500 3285078053 3795145625 4857786400 6072233000 6570156106 7590291250 9715572800 12144466000 13140312212 15180582500 16425390265 24288932000 26280624424 30361165000 32850780530 48577864000 52561248848 60722330000 65701561060 82126951325 105122497696 121444660000 131403122120 164253902650 210244995392 242889320000 262806244240 328507805300 410634756625 525612488480 657015610600 821269513250 1051224976960 1314031221200 1642539026500 2053173783125 2628062442400 3285078053000 4106347566250 5256124884800 6570156106000 8212695132500 13140312212000 16425390265000 26280624424000 32850780530000 65701561060000 131403122120000