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100912716 = 22342931063
BaseRepresentation
bin1100000001111…
…00111001001100
321000212220020000
412000330321030
5201313201331
614002524300
72333513112
oct600747114
9230786200
10100912716
1151a65243
1229966690
1317ba3088
14d58bab2
158cd50e6
hex603ce4c

100912716 has 60 divisors (see below), whose sum is σ = 264955152. Its totient is φ = 33491232.

The previous prime is 100912699. The next prime is 100912723. The reversal of 100912716 is 617219001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100912716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94401 + ... + 95463.

Almost surely, 2100912716 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 100912716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132477576).

100912716 is an abundant number, since it is smaller than the sum of its proper divisors (164042436).

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

100912716 is a wasteful number, since it uses less digits than its factorization.

100912716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 100912716 is about 10045.5321412059. The cubic root of 100912716 is about 465.5667595039.

The spelling of 100912716 in words is "one hundred million, nine hundred twelve thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 293 324 586 879 1063 1172 1758 2126 2637 3189 3516 4252 5274 6378 7911 9567 10548 12756 15822 19134 23733 28701 31644 38268 47466 57402 86103 94932 114804 172206 311459 344412 622918 934377 1245836 1868754 2803131 3737508 5606262 8409393 11212524 16818786 25228179 33637572 50456358 100912716