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101640702372 = 2231110968310343
BaseRepresentation
bin101111010101001000…
…0100000100110100100
3100201100111220122210020
41132222100200212210
53131130004433442
6114405412555140
710225515500226
oct1365220404644
9321314818706
10101640702372
113a118588080
1217847322ab0
13977a6c6951
144cc2d0c416
15299d2c89ec
hex17aa4209a4

101640702372 has 96 divisors (see below), whose sum is σ = 261502940160. Its totient is φ = 30470014080.

The previous prime is 101640702349. The next prime is 101640702437. The reversal of 101640702372 is 273207046101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9821833 + ... + 9832175.

It is an arithmetic number, because the mean of its divisors is an integer number (2723988960).

Almost surely, 2101640702372 is an apocalyptic number.

101640702372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101640702372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130751470080).

101640702372 is an abundant number, since it is smaller than the sum of its proper divisors (159862237788).

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

101640702372 is a wasteful number, since it uses less digits than its factorization.

101640702372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 101640702372 its reverse (273207046101), we get a palindrome (374847748473).

The spelling of 101640702372 in words is "one hundred one billion, six hundred forty million, seven hundred two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 683 1199 1308 1366 2049 2398 2732 3597 4098 4796 7194 7513 8196 10343 14388 15026 20686 22539 30052 31029 41372 45078 62058 74447 90156 113773 124116 148894 223341 227546 297788 341319 446682 455092 682638 818917 893364 1127387 1365276 1637834 2254774 2456751 3275668 3382161 4509548 4913502 6764322 7064269 9827004 12401257 13528644 14128538 21192807 24802514 28257076 37203771 42385614 49605028 74407542 77706959 84771228 148815084 155413918 233120877 310827836 466241754 770005321 932483508 1540010642 2310015963 3080021284 4620031926 8470058531 9240063852 16940117062 25410175593 33880234124 50820351186 101640702372