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1312180055100 = 2233521093444641
BaseRepresentation
bin10011000110000100000…
…001101010110000111100
311122102222002021100202000
4103012010001222300330
5132444321043230400
62442450204302300
7163542021303165
oct23060401526074
94572862240660
101312180055100
11466546483932
12192386541990
1396979651c35
144771d07676c
15241ed3b0600
hex1318406ac3c

1312180055100 has 144 divisors (see below), whose sum is σ = 4222284860640. Its totient is φ = 349593753600.

The previous prime is 1312180055057. The next prime is 1312180055141. The reversal of 1312180055100 is 15500812131.

1312180055100 is a `hidden beast` number, since 1 + 31 + 2 + 1 + 80 + 0 + 551 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2728780 + ... + 3173420.

Almost surely, 21312180055100 is an apocalyptic number.

1312180055100 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 1312180055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111142430320).

1312180055100 is an abundant number, since it is smaller than the sum of its proper divisors (2910104805540).

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

1312180055100 is a wasteful number, since it uses less digits than its factorization.

1312180055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445757 (or 445744 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 1312180055100 its reverse (15500812131), we get a palindrome (1327680867231).

It can be divided in two parts, 13121800 and 55100, that added together give a square (13176900 = 36302).

The spelling of 1312180055100 in words is "one trillion, three hundred twelve billion, one hundred eighty million, fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1093 1350 2186 2700 3279 4372 5465 6558 9837 10930 13116 16395 19674 21860 27325 29511 32790 39348 49185 54650 59022 65580 81975 98370 109300 118044 147555 163950 196740 245925 295110 327900 444641 491850 590220 737775 889282 983700 1333923 1475550 1778564 2223205 2667846 2951100 4001769 4446410 5335692 6669615 8003538 8892820 11116025 12005307 13339230 16007076 20008845 22232050 24010614 26678460 33348075 40017690 44464100 48021228 60026535 66696150 80035380 100044225 120053070 133392300 200088450 240106140 300132675 400176900 485992613 600265350 971985226 1200530700 1457977839 1943970452 2429963065 2915955678 4373933517 4859926130 5831911356 7289889195 8747867034 9719852260 12149815325 13121800551 14579778390 17495734068 21869667585 24299630650 26243601102 29159556780 36449445975 43739335170 48599261300 52487202204 65609002755 72898891950 87478670340 109348337925 131218005510 145797783900 218696675850 262436011020 328045013775 437393351700 656090027550 1312180055100