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13101022031020 = 22571129293350247
BaseRepresentation
bin1011111010100101000111…
…0000111010110010101100
31201101110000202021102111221
42332221101300322302230
53204121343114443040
643510305413153124
72521342352606230
oct276512160726254
951343022242457
1013101022031020
1141a1126436930
12157709592b7a4
13740562149a31
14334142aca5c0
1517abc34a574a
hexbea51c3acac

13101022031020 has 96 divisors (see below), whose sum is σ = 35483645998080. Its totient is φ = 3942627306240.

The previous prime is 13101022030997. The next prime is 13101022031021. The reversal of 13101022031020 is 2013022010131.

It is a junction number, because it is equal to n+sod(n) for n = 13101022030985 and 13101022031003.

It is not an unprimeable number, because it can be changed into a prime (13101022031021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146630464 + ... + 146719783.

It is an arithmetic number, because the mean of its divisors is an integer number (369621312480).

Almost surely, 213101022031020 is an apocalyptic number.

13101022031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101022031020 is an abundant number, since it is smaller than the sum of its proper divisors (22382623967060).

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

13101022031020 is a wasteful number, since it uses less digits than its factorization.

13101022031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293350303 (or 293350301 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13101022031020 its reverse (2013022010131), we get a palindrome (15114044041151).

The spelling of 13101022031020 in words is "thirteen trillion, one hundred one billion, twenty-two million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 11165 22330 44660 293350247 586700494 1173400988 1466751235 2053451729 2933502470 3226852717 4106903458 5867004940 6453705434 8213806916 8507157163 10267258645 12907410868 16134263585 17014314326 20534517290 22587969019 32268527170 34028628652 41069034580 42535785815 45175938038 59550100141 64537054340 85071571630 90351876076 93578728793 112939845095 119100200282 170143143260 187157457586 225879690190 238200400564 297750500705 374314915172 451759380380 467893643965 595501001410 655051101551 935787287930 1191002002820 1310102203102 1871574575860 2620204406204 3275255507755 6550511015510 13101022031020