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131021144121300 = 223523472796145013
BaseRepresentation
bin11101110010100110111100…
…110000001101111111010100
3122011220111110210211100212120
4131302212330300031333110
5114133122300343340200
61142354141020215540
736411652043422146
oct3562467460157724
9564814423740776
10131021144121300
1138824834162434
121284093809a5b0
1358153192869b4
14244d658832c96
1510232622299a0
hex7729bcc0dfd4

131021144121300 has 144 divisors (see below), whose sum is σ = 380202358949952. Its totient is φ = 34836263193600.

The previous prime is 131021144121221. The next prime is 131021144121319. The reversal of 131021144121300 is 3121441120131.

It is a super-2 number, since 2×1310211441213002 (a number of 29 digits) contains 22 as substring.

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, 2910717594 + ... + 2910762606.

Almost surely, 2131021144121300 is an apocalyptic number.

131021144121300 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 131021144121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190101179474976).

131021144121300 is an abundant number, since it is smaller than the sum of its proper divisors (249181214828652).

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

131021144121300 is a wasteful number, since it uses less digits than its factorization.

131021144121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73338 (or 73331 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131021144121300 its reverse (3121441120131), we get a palindrome (134142585241431).

The spelling of 131021144121300 in words is "one hundred thirty-one trillion, twenty-one billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 347 694 1041 1388 1735 2082 3470 4164 5205 6940 8675 10410 17350 20820 26025 27961 34700 45013 52050 55922 83883 90026 104100 111844 135039 139805 167766 180052 225065 270078 279610 335532 419415 450130 540156 559220 675195 699025 838830 900260 1125325 1350390 1398050 1677660 2097075 2250650 2700780 2796100 3375975 4194150 4501300 6751950 8388300 9702467 13503900 15619511 19404934 29107401 31239022 38809868 46858533 48512335 58214802 62478044 78097555 93717066 97024670 116429604 145537005 156195110 187434132 194049340 234292665 242561675 291074010 312390220 390487775 468585330 485123350 582148020 727685025 780975550 937170660 970246700 1171463325 1258608493 1455370050 1561951100 2342926650 2517216986 2910740100 3775825479 4685853300 5034433972 6293042465 7551650958 12586084930 15103301916 18879127395 25172169860 31465212325 37758254790 62930424650 75516509580 94395636975 125860849300 188791273950 377582547900 436737147071 873474294142 1310211441213 1746948588284 2183685735355 2620422882426 4367371470710 5240845764852 6551057206065 8734742941420 10918428676775 13102114412130 21836857353550 26204228824260 32755286030325 43673714707100 65510572060650 131021144121300