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56055000100 = 225211269189439
BaseRepresentation
bin110100001101001000…
…110110110000100100
312100200120101001020211
4310031020312300210
51404300040000400
641430141105204
74023044432161
oct641510666044
9170616331224
1056055000100
112185564a270
12aa44858204
135394354a18
1429da979068
1516d1243dba
hexd0d236c24

56055000100 has 72 divisors (see below), whose sum is σ = 133191475200. Its totient is φ = 20307753600.

The previous prime is 56055000019. The next prime is 56055000107. The reversal of 56055000100 is 100055065.

It is a super-2 number, since 2×560550001002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (56055000107) 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, 201181 + ... + 390619.

It is an arithmetic number, because the mean of its divisors is an integer number (1849881600).

Almost surely, 256055000100 is an apocalyptic number.

56055000100 is a gapful number since it is divisible by the number (50) 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 56055000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66595737600).

56055000100 is an abundant number, since it is smaller than the sum of its proper divisors (77136475100).

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

56055000100 is a wasteful number, since it uses less digits than its factorization.

56055000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189733 (or 189726 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

Adding to 56055000100 its reverse (100055065), we get a palindrome (56155055165).

The spelling of 56055000100 in words is "fifty-six billion, fifty-five million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 269 275 538 550 1076 1100 1345 2690 2959 5380 5918 6725 11836 13450 14795 26900 29590 59180 73975 147950 189439 295900 378878 757756 947195 1894390 2083829 3788780 4167658 4735975 8335316 9471950 10419145 18943900 20838290 41676580 50959091 52095725 101918182 104191450 203836364 208382900 254795455 509590910 560550001 1019181820 1121100002 1273977275 2242200004 2547954550 2802750005 5095909100 5605500010 11211000020 14013750025 28027500050 56055000100