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131000321041020 = 22335431562861223
BaseRepresentation
bin11101110010010011100011…
…100110011110001001111100
3122011211111201121112021202000
4131302103203212132021330
5114132302124141303040
61142340414445302300
736410314035233244
oct3562234346361174
9564744647467660
10131000321041020
1138816a19068a82
12128388a6564990
13581337b207a12
14244c6410d4b24
1510229440c8130
hex7724e399e27c

131000321041020 has 96 divisors (see below), whose sum is σ = 408502161930240. Its totient is φ = 34852366866240.

The previous prime is 131000321041001. The next prime is 131000321041021. The reversal of 131000321041020 is 20140123000131.

131000321041020 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 321 + 0 + 4 + 10 + 20 = 666.

It is a super-2 number, since 2×1310003210410202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131000321040984 and 131000321041002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000321041021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281197872 + ... + 281663351.

It is an arithmetic number, because the mean of its divisors is an integer number (4255230853440).

Almost surely, 2131000321041020 is an apocalyptic number.

131000321041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000321041020 is an abundant number, since it is smaller than the sum of its proper divisors (277501840889220).

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

131000321041020 is a wasteful number, since it uses less digits than its factorization.

131000321041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562861672 (or 562861664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131000321041020 its reverse (20140123000131), we get a palindrome (151140444041151).

The spelling of 131000321041020 in words is "one hundred thirty-one trillion, three hundred twenty-one million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 431 540 862 1293 1724 2155 2586 3879 4310 5172 6465 7758 8620 11637 12930 15516 19395 23274 25860 38790 46548 58185 77580 116370 232740 562861223 1125722446 1688583669 2251444892 2814306115 3377167338 5065751007 5628612230 6754334676 8442918345 10131502014 11257224460 15197253021 16885836690 20263004028 25328755035 30394506042 33771673380 50657510070 60789012084 75986265105 101315020140 151972530210 242593187113 303945060420 485186374226 727779561339 970372748452 1212965935565 1455559122678 2183338684017 2425931871130 2911118245356 3638897806695 4366677368034 4851863742260 6550016052051 7277795613390 8733354736068 10916693420085 13100032104102 14555591226780 21833386840170 26200064208204 32750080260255 43666773680340 65500160520510 131000321041020