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101369436 = 223721710141
BaseRepresentation
bin1100000101011…
…00011001011100
321001202002201120
412002230121130
5201422310221
614020410540
72340424500
oct602543134
9231662646
10101369436
11522473a3
1229b46a50
1318002c1c
14d66a300
158d755c6
hex60ac65c

101369436 has 72 divisors (see below), whose sum is σ = 291359376. Its totient is φ = 27256320.

The previous prime is 101369417. The next prime is 101369449. The reversal of 101369436 is 634963101.

It is a junction number, because it is equal to n+sod(n) for n = 101369397 and 101369406.

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, 4926 + ... + 15066.

It is an arithmetic number, because the mean of its divisors is an integer number (4046658).

Almost surely, 2101369436 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 101369436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145679688).

101369436 is an abundant number, since it is smaller than the sum of its proper divisors (189989940).

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

101369436 is a wasteful number, since it uses less digits than its factorization.

101369436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 101369436 is about 10068.2389721341. The cubic root of 101369436 is about 466.2680707537.

The spelling of 101369436 in words is "one hundred one million, three hundred sixty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 10141 20282 30423 40564 60846 70987 121692 141974 172397 212961 283948 344794 425922 496909 517191 689588 851844 993818 1034382 1206779 1490727 1987636 2068764 2413558 2981454 3620337 4827116 5962908 7240674 8447453 14481348 16894906 25342359 33789812 50684718 101369436