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106174235321 = 72112297871093
BaseRepresentation
bin110001011100001111…
…0100100001010111001
3101011001110112222211222
41202320132210022321
53214421101012241
6120435322201425
710446045052400
oct1427036441271
9334043488758
10106174235321
1141034651520
12186b1653275
13a020a1151b
1451d3066637
152b662dca4b
hex18b87a42b9

106174235321 has 48 divisors (see below), whose sum is σ = 135621167040. Its totient is φ = 82191957120.

The previous prime is 106174235291. The next prime is 106174235383. The reversal of 106174235321 is 123532471601.

It is not a de Polignac number, because 106174235321 - 218 = 106173973177 is a prime.

It is a super-2 number, since 2×1061742353212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106174235021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97139651 + ... + 97140743.

It is an arithmetic number, because the mean of its divisors is an integer number (2825440980).

Almost surely, 2106174235321 is an apocalyptic number.

106174235321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106174235321 is a deficient number, since it is larger than the sum of its proper divisors (29446931719).

106174235321 is a wasteful number, since it uses less digits than its factorization.

106174235321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 106174235321 in words is "one hundred six billion, one hundred seventy-four million, two hundred thirty-five thousand, three hundred twenty-one".

Divisors: 1 7 11 49 77 229 539 787 1093 1603 2519 5509 7651 8657 11221 12023 17633 38563 53557 60599 84161 123431 180223 250297 424193 589127 860191 1261561 1752079 1982453 2753267 6021337 8830927 9462101 12264553 13877171 19272869 42149359 66234707 97140197 134910083 196983739 463642949 1378886173 2166821129 9652203211 15167747903 106174235321