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101358426 = 23132195261
BaseRepresentation
bin1100000101010…
…01101101011010
321001201112121210
412002221231122
5201421432201
614020243550
72340350421
oct602515532
9231645553
10101358426
115223a0a4
1229b405b6
1317ccac00
14d6662b8
158d721d6
hex60a9b5a

101358426 has 48 divisors (see below), whose sum is σ = 231107040. Its totient is φ = 29540160.

The previous prime is 101358347. The next prime is 101358463. The reversal of 101358426 is 624853101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101358393 and 101358402.

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 23 ways as a sum of consecutive naturals, for example, 16636 + ... + 21896.

It is an arithmetic number, because the mean of its divisors is an integer number (4814730).

Almost surely, 2101358426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101358426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115553520).

101358426 is an abundant number, since it is smaller than the sum of its proper divisors (129748614).

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

101358426 is a wasteful number, since it uses less digits than its factorization.

101358426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 101358426 is about 10067.6921883816. The cubic root of 101358426 is about 466.2511892769.

The spelling of 101358426 in words is "one hundred one million, three hundred fifty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 3211 5261 6422 9633 10522 15783 19266 31566 68393 99959 136786 199918 205179 299877 410358 599754 889109 1299467 1778218 2598934 2667327 3898401 5334654 7796802 16893071 33786142 50679213 101358426