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14052510100 = 22522353115279
BaseRepresentation
bin11010001011001100…
…00100100110010100
31100021100021110220001
431011212010212110
5212234420310400
610242230021044
71005143236126
oct150546044624
940240243801
1014052510100
115a61303912
1228821a7784
13142c465945
14974465216
15573a56a6a
hex345984994

14052510100 has 72 divisors (see below), whose sum is σ = 32420424960. Its totient is φ = 5275121280.

The previous prime is 14052510079. The next prime is 14052510163. The reversal of 14052510100 is 101525041.

It is a super-2 number, since 2×140525101002 (a number of 21 digits) contains 22 as substring.

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, 64261 + ... + 179539.

It is an arithmetic number, because the mean of its divisors is an integer number (450283680).

Almost surely, 214052510100 is an apocalyptic number.

14052510100 is a gapful number since it is divisible by the number (10) 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 14052510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16210212480).

14052510100 is an abundant number, since it is smaller than the sum of its proper divisors (18367914860).

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

14052510100 is a wasteful number, since it uses less digits than its factorization.

14052510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115369 (or 115362 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The spelling of 14052510100 in words is "fourteen billion, fifty-two million, five hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 212 230 265 460 530 575 1060 1150 1219 1325 2300 2438 2650 4876 5300 6095 12190 24380 30475 60950 115279 121900 230558 461116 576395 1152790 2305580 2651417 2881975 5302834 5763950 6109787 10605668 11527900 12219574 13257085 24439148 26514170 30548935 53028340 61097870 66285425 122195740 132570850 140525101 152744675 265141700 281050202 305489350 562100404 610978700 702625505 1405251010 2810502020 3513127525 7026255050 14052510100