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101224140023132 = 22713926008257971
BaseRepresentation
bin10111000001000000010100…
…111010001010010101011100
3111021101221012100201212120222
4113001000110322022111130
5101231424014321220012
6555141421123500512
730215126360513420
oct2701002472122534
9437357170655528
10101224140023132
112a286a0a153a05
12b429abb827738
13446351aa449b9
141add3bb3c4b80
15ba8113909972
hex5c1014e8a55c

101224140023132 has 24 divisors (see below), whose sum is σ = 203904742500480. Its totient is φ = 43069675198320.

The previous prime is 101224140023117. The next prime is 101224140023179. The reversal of 101224140023132 is 231320041422101.

It is a happy number.

It is a super-4 number, since 4×1012241400231324 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13004125094 + ... + 13004132877.

It is an arithmetic number, because the mean of its divisors is an integer number (8496030937520).

Almost surely, 2101224140023132 is an apocalyptic number.

It is an amenable number.

101224140023132 is an abundant number, since it is smaller than the sum of its proper divisors (102680602477348).

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

101224140023132 is a wasteful number, since it uses less digits than its factorization.

101224140023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26008258121 (or 26008258119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 101224140023132 its reverse (231320041422101), we get a palindrome (332544181445233).

The spelling of 101224140023132 in words is "one hundred one trillion, two hundred twenty-four billion, one hundred forty million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 139 278 556 973 1946 3892 26008257971 52016515942 104033031884 182057805797 364115611594 728231223188 3615147857969 7230295715938 14460591431876 25306035005783 50612070011566 101224140023132