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56031251100 = 223521161278347
BaseRepresentation
bin110100001011101110…
…010000101010011100
312100121220200110202020
4310023232100222130
51404223000013400
641423532100140
74022335530126
oct641356205234
9170556613666
1056031251100
11218431a92a0
12aa38904650
13538c45b066
1429d7756216
1516ce1022a0
hexd0bb90a9c

56031251100 has 144 divisors (see below), whose sum is σ = 179754911616. Its totient is φ = 13360608000.

The previous prime is 56031251057. The next prime is 56031251149. The reversal of 56031251100 is 115213065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62127 + ... + 340473.

Almost surely, 256031251100 is an apocalyptic number.

56031251100 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 56031251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89877455808).

56031251100 is an abundant number, since it is smaller than the sum of its proper divisors (123723660516).

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

56031251100 is a wasteful number, since it uses less digits than its factorization.

56031251100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278436 (or 278429 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 56031251100 its reverse (115213065), we get a palindrome (56146464165).

The spelling of 56031251100 in words is "fifty-six billion, thirty-one million, two hundred fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 110 122 132 150 165 183 220 244 275 300 305 330 366 550 610 660 671 732 825 915 1100 1220 1342 1525 1650 1830 2013 2684 3050 3300 3355 3660 4026 4575 6100 6710 8052 9150 10065 13420 16775 18300 20130 33550 40260 50325 67100 100650 201300 278347 556694 835041 1113388 1391735 1670082 2783470 3061817 3340164 4175205 5566940 6123634 6958675 8350410 9185451 12247268 13917350 15309085 16700820 16979167 18370902 20876025 27834700 30618170 33958334 36741804 41752050 45927255 50937501 61236340 67916668 76545425 83504100 84895835 91854510 101875002 153090850 169791670 183709020 186770837 203750004 229636275 254687505 306181700 339583340 373541674 424479175 459272550 509375010 560312511 747083348 848958350 918545100 933854185 1018750020 1120625022 1273437525 1697916700 1867708370 2241250044 2546875050 2801562555 3735416740 4669270925 5093750100 5603125110 9338541850 11206250220 14007812775 18677083700 28015625550 56031251100