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101026442334 = 23171858353299
BaseRepresentation
bin101111000010110100…
…1010010110001011110
3100122202201002000102110
41132011221102301132
53123400232123314
6114224431134450
710204346406516
oct1360551226136
9318681060373
10101026442334
113993287a454
12176b5674426
1396b037747c
144c654d2846
1529643e0a59
hex1785a52c5e

101026442334 has 32 divisors (see below), whose sum is σ = 213953875200. Its totient is φ = 31692269952.

The previous prime is 101026442327. The next prime is 101026442339. The reversal of 101026442334 is 433244620101.

It is a super-3 number, since 3×1010264423343 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101026442339) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1868817 + ... + 1922115.

It is an arithmetic number, because the mean of its divisors is an integer number (6686058600).

Almost surely, 2101026442334 is an apocalyptic number.

101026442334 is an abundant number, since it is smaller than the sum of its proper divisors (112927432866).

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

101026442334 is a wasteful number, since it uses less digits than its factorization.

101026442334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71904.

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 101026442334 in words is "one hundred one billion, twenty-six million, four hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 18583 37166 53299 55749 106598 111498 159897 315911 319794 631822 906083 947733 1812166 1895466 2718249 5436498 990455317 1980910634 2971365951 5942731902 16837740389 33675480778 50513221167 101026442334