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56111105100 = 22352473979511
BaseRepresentation
bin110100010000011110…
…111000010001001100
312100211110221110211210
4310100132320101030
51404403420330400
641435503414420
74024325344461
oct642036702114
9170743843753
1056111105100
112188428a836
12aa5b5b4410
1353a2b69b4b
142a041c1668
1516d6127950
hexd107b844c

56111105100 has 72 divisors (see below), whose sum is σ = 165802387968. Its totient is φ = 14644596800.

The previous prime is 56111105093. The next prime is 56111105107. The reversal of 56111105100 is 150111165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56111105093) and next prime (56111105107).

It is a super-2 number, since 2×561111051002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56111105107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1975656 + ... + 2003855.

It is an arithmetic number, because the mean of its divisors is an integer number (2302810944).

Almost surely, 256111105100 is an apocalyptic number.

56111105100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56111105100 is an abundant number, since it is smaller than the sum of its proper divisors (109691282868).

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

56111105100 is a wasteful number, since it uses less digits than its factorization.

56111105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979575 (or 3979568 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 56111105100 its reverse (150111165), we get a palindrome (56261216265).

The spelling of 56111105100 in words is "fifty-six billion, one hundred eleven million, one hundred five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 3979511 7959022 11938533 15918044 19897555 23877066 39795110 47754132 59692665 79590220 99487775 119385330 187037017 198975550 238770660 298463325 374074034 397951100 561111051 596926650 748148068 935185085 1122222102 1193853300 1870370170 2244444204 2805555255 3740740340 4675925425 5611110510 9351850850 11222221020 14027776275 18703701700 28055552550 56111105100