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56101122 = 232711172381
BaseRepresentation
bin1101011000000…
…0100100000010
310220120020021100
43112000210002
5103330213442
65322235230
71250565060
oct326004402
9126506240
1056101122
1129738670
1216955b16
13b81343c
147645030
154dd284c
hex3580902

56101122 has 96 divisors (see below), whose sum is σ = 160527744. Its totient is φ = 13708800.

The previous prime is 56101121. The next prime is 56101141. The reversal of 56101122 is 22110165.

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 = 56101095 and 56101104.

It is not an unprimeable number, because it can be changed into a prime (56101121) 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, 22372 + ... + 24752.

It is an arithmetic number, because the mean of its divisors is an integer number (1672164).

Almost surely, 256101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80263872).

56101122 is an abundant number, since it is smaller than the sum of its proper divisors (104426622).

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

56101122 is a wasteful number, since it uses less digits than its factorization.

56101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 56101122 is about 7490.0682239884. The cubic root of 56101122 is about 382.8163831132.

Adding to 56101122 its reverse (22110165), we get a palindrome (78211287).

The spelling of 56101122 in words is "fifty-six million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2381 2618 3366 3927 4762 7143 7854 11781 14286 16667 21429 23562 26191 33334 40477 42858 50001 52382 78573 80954 100002 121431 150003 157146 183337 235719 242862 283339 300006 364293 366674 445247 471438 550011 566678 728586 850017 890494 1100022 1335741 1650033 1700034 2550051 2671482 3116729 3300066 4007223 5100102 6233458 8014446 9350187 18700374 28050561 56101122