Search a number
-
+
23251410254124 = 223213211633286097
BaseRepresentation
bin1010100100101101001000…
…00011000111100100101100
310001022210221202110222012100
411102112210003013210230
511021422342011112444
6121241314515535100
74616600423126553
oct522264403074454
9101283852428170
1023251410254124
11745495aa1a838
1227363422ba490
13cc87a2101700
145a5534d86d9a
152a4c51111e69
hex1525a40c792c

23251410254124 has 108 divisors (see below), whose sum is σ = 63698025953016. Its totient is φ = 7148126329344.

The previous prime is 23251410254117. The next prime is 23251410254131. The reversal of 23251410254124 is 42145201415232.

23251410254124 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 1 + 4 + 102 + 541 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23251410254117) and next prime (23251410254131).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5432644 + ... + 8718740.

It is an arithmetic number, because the mean of its divisors is an integer number (589796536602).

Almost surely, 223251410254124 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 23251410254124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31849012976508).

23251410254124 is an abundant number, since it is smaller than the sum of its proper divisors (40446615698892).

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

23251410254124 is a wasteful number, since it uses less digits than its factorization.

23251410254124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287296 (or 3287278 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 23251410254124 its reverse (42145201415232), we get a palindrome (65396611669356).

The spelling of 23251410254124 in words is "twenty-three trillion, two hundred fifty-one billion, four hundred ten million, two hundred fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1163 1521 2028 2326 3042 3489 4652 6084 6978 10467 13956 15119 20934 30238 41868 45357 60476 90714 136071 181428 196547 272142 393094 544284 589641 786188 1179282 1768923 2358564 3286097 3537846 6572194 7075692 9858291 13144388 19716582 29574873 39433164 42719261 59149746 85438522 118299492 128157783 170877044 256315566 384473349 512631132 555350393 768946698 1110700786 1537893396 1666051179 2221401572 3332102358 3821730811 4998153537 6664204716 7643461622 9996307074 11465192433 15286923244 19992614148 22930384866 34395577299 45860769732 49682500543 68791154598 99365001086 137582309196 149047501629 198730002172 298095003258 447142504887 596190006516 645872507059 894285009774 1291745014118 1788570019548 1937617521177 2583490028236 3875235042354 5812852563531 7750470084708 11625705127062 23251410254124