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131003300023020 = 223257346721348629
BaseRepresentation
bin11101110010010110010101…
…001010011000101011101100
3122011211210102020000020210200
4131302112111022120223230
5114132324224301214040
61142342030223233500
736410450620200045
oct3562262512305354
9564753366006720
10131003300023020
1138818207683277
1212839398148890
135813734440669
14244c8449c98cc
151022a6a8b9630
hex772595298aec

131003300023020 has 144 divisors (see below), whose sum is σ = 403682781771360. Its totient is φ = 34381879999488.

The previous prime is 131003300023019. The next prime is 131003300023021. The reversal of 131003300023020 is 20320003300131.

131003300023020 is a `hidden beast` number, since 1 + 3 + 100 + 330 + 0 + 0 + 230 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131003300023019) and next prime (131003300023021).

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 = 131003300022984 and 131003300023002.

It is not an unprimeable number, because it can be changed into a prime (131003300023021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537935 + ... + 16810694.

It is an arithmetic number, because the mean of its divisors is an integer number (2803352651190).

Almost surely, 2131003300023020 is an apocalyptic number.

131003300023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003300023020 is an abundant number, since it is smaller than the sum of its proper divisors (272679481748340).

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

131003300023020 is a wasteful number, since it uses less digits than its factorization.

131003300023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21349184 (or 21349179 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131003300023020 its reverse (20320003300131), we get a palindrome (151323303323151).

The spelling of 131003300023020 in words is "one hundred thirty-one trillion, three billion, three hundred million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 467 657 730 876 934 1095 1314 1401 1460 1868 2190 2335 2628 2802 3285 4203 4380 4670 5604 6570 7005 8406 9340 13140 14010 16812 21015 28020 34091 42030 68182 84060 102273 136364 170455 204546 306819 340910 409092 511365 613638 681820 1022730 1227276 1534095 2045460 3068190 6136380 21348629 42697258 64045887 85394516 106743145 128091774 192137661 213486290 256183548 320229435 384275322 426972580 640458870 768550644 960688305 1280917740 1558449917 1921376610 3116899834 3842753220 4675349751 6233799668 7792249585 9350699502 9969809743 14026049253 15584499170 18701399004 19939619486 23376748755 28052098506 29909429229 31168998340 39879238972 46753497510 49849048715 56104197012 59818858458 70130246265 89728287687 93506995020 99698097430 119637716916 140260492530 149547146145 179456575374 199396194860 280520985060 299094292290 358913150748 448641438435 598188584580 727796111239 897282876870 1455592222478 1794565753740 2183388333717 2911184444956 3638980556195 4366776667434 6550165001151 7277961112390 8733553334868 10916941668585 13100330002302 14555922224780 21833883337170 26200660004604 32750825005755 43667766674340 65501650011510 131003300023020