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105029174024 = 2329452711957
BaseRepresentation
bin110000111010000111…
…0100000001100001000
3101001002122220212001022
41201310032200030020
53210044432032044
6120125535412012
710405502151305
oct1416416401410
9331078825038
10105029174024
11405a7259a75
1218432084008
139b9a714368
145124d580ac
152aeaa053ee
hex18743a0308

105029174024 has 16 divisors (see below), whose sum is σ = 203720381100. Its totient is φ = 50703739072.

The previous prime is 105029174023. The next prime is 105029174077. The reversal of 105029174024 is 420471920501.

It can be written as a sum of positive squares in 2 ways, for example, as 89994000100 + 15035173924 = 299990^2 + 122618^2 .

It is a super-2 number, since 2×1050291740242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105029174023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226355747 + ... + 226356210.

Almost surely, 2105029174024 is an apocalyptic number.

It is an amenable number.

105029174024 is a deficient number, since it is larger than the sum of its proper divisors (98691207076).

105029174024 is a wasteful number, since it uses less digits than its factorization.

105029174024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452711992 (or 452711988 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 105029174024 in words is "one hundred five billion, twenty-nine million, one hundred seventy-four thousand, twenty-four".

Divisors: 1 2 4 8 29 58 116 232 452711957 905423914 1810847828 3621695656 13128646753 26257293506 52514587012 105029174024