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101252634 = 23719314093
BaseRepresentation
bin1100000100011…
…11111000011010
321001112011111120
412002033320122
5201410041014
614014110110
72336430120
oct602177032
9231464446
10101252634
115217766a
1229aab336
1317c91a02
14d639910
158d50ba9
hex608fe1a

101252634 has 64 divisors (see below), whose sum is σ = 251535360. Its totient is φ = 26516160.

The previous prime is 101252623. The next prime is 101252677. The reversal of 101252634 is 436252101.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22692 + ... + 26784.

It is an arithmetic number, because the mean of its divisors is an integer number (3930240).

Almost surely, 2101252634 is an apocalyptic number.

101252634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101252634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125767680).

101252634 is an abundant number, since it is smaller than the sum of its proper divisors (150282726).

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

101252634 is a wasteful number, since it uses less digits than its factorization.

101252634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 101252634 is about 10062.4367824101. The cubic root of 101252634 is about 466.0889175619.

The spelling of 101252634 in words is "one hundred one million, two hundred fifty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 4093 4123 8186 8246 12279 12369 24558 24738 28651 57302 77767 85953 126883 155534 171906 233301 253766 380649 466602 544369 761298 888181 1088738 1633107 1776362 2410777 2664543 3266214 4821554 5329086 7232331 14464662 16875439 33750878 50626317 101252634