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101995344 = 243211193389
BaseRepresentation
bin1100001010001…
…01001101010000
321002220220022100
412011011031100
5202102322334
614042040400
72345642343
oct605051520
9232826270
10101995344
1152634680
122a1a9100
1318191a99
14d79045a
158e4ac99
hex6145350

101995344 has 120 divisors (see below), whose sum is σ = 327880800. Its totient is φ = 29272320.

The previous prime is 101995339. The next prime is 101995379. The reversal of 101995344 is 443599101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101995299 and 101995308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28402 + ... + 31790.

It is an arithmetic number, because the mean of its divisors is an integer number (2732340).

Almost surely, 2101995344 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 101995344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163940400).

101995344 is an abundant number, since it is smaller than the sum of its proper divisors (225885456).

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

101995344 is a wasteful number, since it uses less digits than its factorization.

101995344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 101995344 is about 10099.2744293835. The cubic root of 101995344 is about 467.2257634585.

The spelling of 101995344 in words is "one hundred one million, nine hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3389 3762 5016 6778 7524 10032 10167 13556 15048 20334 27112 30096 30501 37279 40668 54224 61002 64391 74558 81336 111837 122004 128782 149116 162672 193173 223674 244008 257564 298232 335511 386346 447348 488016 515128 579519 596464 671022 708301 772692 894696 1030256 1159038 1342044 1416602 1545384 1789392 2124903 2318076 2684088 2833204 3090768 4249806 4636152 5368176 5666408 6374709 8499612 9272304 11332816 12749418 16999224 25498836 33998448 50997672 101995344