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42131112301100 = 22522914527969759
BaseRepresentation
bin10011001010001011010011…
…11110111001001000101100
312112011200202122200212011102
421211011221332321020230
521010234004222113400
6225334433224542232
711605605144524354
oct1145055176711054
9175150678625142
1042131112301100
11124737825a1299
124885360321978
131a67c402a0394
14a5922a055b64
154d0dd85239d5
hex265169fb922c

42131112301100 has 36 divisors (see below), whose sum is σ = 94577083137600. Its totient is φ = 16271326128960.

The previous prime is 42131112301093. The next prime is 42131112301133. The reversal of 42131112301100 is 110321113124.

42131112301100 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 2×421311123011002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7263981980 + ... + 7263987779.

Almost surely, 242131112301100 is an apocalyptic number.

It is an amenable number.

42131112301100 is an abundant number, since it is smaller than the sum of its proper divisors (52445970836500).

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

42131112301100 is a wasteful number, since it uses less digits than its factorization.

42131112301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527969802 (or 14527969795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 42131112301100 its reverse (110321113124), we get a palindrome (42241433414224).

The spelling of 42131112301100 in words is "forty-two trillion, one hundred thirty-one billion, one hundred twelve million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 14527969759 29055939518 58111879036 72639848795 145279697590 290559395180 363199243975 421311123011 726398487950 842622246022 1452796975900 1685244492044 2106555615055 4213111230110 8426222460220 10532778075275 21065556150550 42131112301100