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33130111020 = 223517121326777
BaseRepresentation
bin11110110110101101…
…010110000000101100
310011111220011000110220
4132312231112000230
51020322302023040
623115245131340
72251665203646
oct366655260054
9104456130426
1033130111020
11130610a1846
126507259b50
13317ca037b6
14186403d896
15cdd81e2d0
hex7b6b5602c

33130111020 has 96 divisors (see below), whose sum is σ = 98305679808. Its totient is φ = 8307843072.

The previous prime is 33130110991. The next prime is 33130111051. The reversal of 33130111020 is 2011103133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1223872 + ... + 1250648.

It is an arithmetic number, because the mean of its divisors is an integer number (1024017498).

Almost surely, 233130111020 is an apocalyptic number.

33130111020 is a gapful number since it is divisible by the number (30) 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 33130111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49152839904).

33130111020 is an abundant number, since it is smaller than the sum of its proper divisors (65175568788).

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

33130111020 is a wasteful number, since it uses less digits than its factorization.

33130111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28019 (or 28017 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 33130111020 its reverse (2011103133), we get a palindrome (35141214153).

The spelling of 33130111020 in words is "thirty-three billion, one hundred thirty million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1213 2426 3639 4852 6065 7278 12130 14556 18195 20621 24260 26777 36390 41242 53554 61863 72780 80331 82484 103105 107108 123726 133885 160662 206210 247452 267770 309315 321324 401655 412420 455209 535540 618630 803310 910418 1237260 1365627 1606620 1820836 2276045 2731254 4552090 5462508 6828135 9104180 13656270 27312540 32480501 64961002 97441503 129922004 162402505 194883006 324805010 389766012 487207515 552168517 649610020 974415030 1104337034 1656505551 1948830060 2208674068 2760842585 3313011102 5521685170 6626022204 8282527755 11043370340 16565055510 33130111020