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2251355311125 = 325331396716273
BaseRepresentation
bin100000110000101111001…
…110111100110000010101
321222020010211012122102200
4200300233032330300111
5243341233424424000
64442131445355113
7321440453253144
oct40605716746025
97866124178380
102251355311125
11798881420378
123043b2408a99
131343c0355bbb
147ad7529d75b
153d869cb0500
hex20c2f3bcc15

2251355311125 has 96 divisors (see below), whose sum is σ = 4190674255872. Its totient is φ = 1161625536000.

The previous prime is 2251355311123. The next prime is 2251355311157. The reversal of 2251355311125 is 5211135531522.

2251355311125 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 5 + 531 + 112 + 5 = 666.

It is not a de Polignac number, because 2251355311125 - 21 = 2251355311123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2251355311125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251355311123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138340989 + ... + 138357261.

It is an arithmetic number, because the mean of its divisors is an integer number (43652856832).

Almost surely, 22251355311125 is an apocalyptic number.

2251355311125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2251355311125 is a deficient number, since it is larger than the sum of its proper divisors (1939318944747).

2251355311125 is a wasteful number, since it uses less digits than its factorization.

2251355311125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20292 (or 20279 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 2251355311125 in words is "two trillion, two hundred fifty-one billion, three hundred fifty-five million, three hundred eleven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 375 465 775 1125 1395 2325 3875 3967 6975 11625 11901 16273 19835 34875 35703 48819 59505 81365 99175 122977 146457 178515 244095 297525 368931 406825 495875 504463 614885 732285 892575 1106793 1220475 1487625 1513389 1844655 2034125 2522315 3074425 3661425 4462875 4540167 5533965 6102375 7566945 9223275 12611575 15372125 18307125 22700835 27669825 37834725 46116375 63057875 64554991 113504175 138349125 189173625 193664973 322774955 567520875 580994919 968324865 1613874775 2001204721 2904974595 4841624325 6003614163 8069373875 10006023605 14524872975 18010842489 24208121625 30018070815 50030118025 72624364875 90054212445 150090354075 250150590125 450271062225 750451770375 2251355311125