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101231364 = 223132832293
BaseRepresentation
bin1100000100010…
…10101100000100
321001111002022210
412002022230010
5201403400424
614013423420
72336311113
oct602125404
9231432283
10101231364
1152162693
1229a9ab70
1317c85120
14d631c7a
158d49729
hex608ab04

101231364 has 48 divisors (see below), whose sum is σ = 255386432. Its totient is φ = 31024512.

The previous prime is 101231353. The next prime is 101231369. The reversal of 101231364 is 463132101.

It is a self number, because there is not a number n which added to its sum of digits gives 101231364.

It is not an unprimeable number, because it can be changed into a prime (101231369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43002 + ... + 45294.

Almost surely, 2101231364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101231364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127693216).

101231364 is an abundant number, since it is smaller than the sum of its proper divisors (154155068).

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

101231364 is a wasteful number, since it uses less digits than its factorization.

101231364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 101231364 is about 10061.3798258489. The cubic root of 101231364 is about 466.0562783928.

Adding to 101231364 its reverse (463132101), we get a palindrome (564363465).

The spelling of 101231364 in words is "one hundred one million, two hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 283 566 849 1132 1698 2293 3396 3679 4586 6879 7358 9172 11037 13758 14716 22074 27516 29809 44148 59618 89427 119236 178854 357708 648919 1297838 1946757 2595676 3893514 7787028 8435947 16871894 25307841 33743788 50615682 101231364