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56131100190 = 23251125154371
BaseRepresentation
bin110100010001101011…
…001001111000011110
312100212212120022221200
4310101223021320132
51404424030201230
641441500140330
74024660323264
oct642153117036
9170785508850
1056131100190
11218945a7400
12aa662376a6
1353a704ac69
142a06b08434
1516d7c77160
hexd11ac9e1e

56131100190 has 72 divisors (see below), whose sum is σ = 160414365384. Its totient is φ = 13607536800.

The previous prime is 56131100177. The next prime is 56131100197. The reversal of 56131100190 is 9100113165.

56131100190 is a `hidden beast` number, since 561 + 3 + 1 + 10 + 0 + 1 + 90 = 666.

56131100190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×561311001902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56131100197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2566296 + ... + 2588075.

It is an arithmetic number, because the mean of its divisors is an integer number (2227977297).

Almost surely, 256131100190 is an apocalyptic number.

56131100190 is an abundant number, since it is smaller than the sum of its proper divisors (104283265194).

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

56131100190 is a wasteful number, since it uses less digits than its factorization.

56131100190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154406 (or 5154392 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 56131100190 in words is "fifty-six billion, one hundred thirty-one million, one hundred thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 5154371 10308742 15463113 25771855 30926226 46389339 51543710 56698081 77315565 92778678 113396162 154631130 170094243 231946695 283490405 340188486 463893390 510282729 566980810 623678891 850471215 1020565458 1247357782 1700942430 1871036673 2551413645 3118394455 3742073346 5102827290 5613110019 6236788910 9355183365 11226220038 18710366730 28065550095 56131100190