Search a number
-
+
121551112235454 = 23112719292538331
BaseRepresentation
bin11011101000110011010010…
…110111011110100110111110
3120221101011200000002202111120
4123220303102313132212332
5111412443134213013304
61110303450551131410
734413530605511346
oct3350632267364676
9527334600082446
10121551112235454
11358035a0031600
1211771505673b66
1352a92b3b58b85
142203168a31d26
15e0bc53d460d9
hex6e8cd2dde9be

121551112235454 has 96 divisors (see below), whose sum is σ = 271266870309120. Its totient is φ = 36275781696000.

The previous prime is 121551112235429. The next prime is 121551112235533. The reversal of 121551112235454 is 454532211155121.

It is a super-2 number, since 2×1215511122354542 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46617069 + ... + 49155399.

It is an arithmetic number, because the mean of its divisors is an integer number (2825696565720).

Almost surely, 2121551112235454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121551112235454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135633435154560).

121551112235454 is an abundant number, since it is smaller than the sum of its proper divisors (149715758073666).

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

121551112235454 is a wasteful number, since it uses less digits than its factorization.

121551112235454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539358 (or 2539347 counting only the distinct ones).

The product of its digits is 240000, while the sum is 42.

The spelling of 121551112235454 in words is "one hundred twenty-one trillion, five hundred fifty-one billion, one hundred twelve million, two hundred thirty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 71 121 142 213 242 363 426 726 781 929 1562 1858 2343 2787 4686 5574 8591 10219 17182 20438 25773 30657 51546 61314 65959 112409 131918 197877 224818 337227 395754 674454 725549 1451098 2176647 2538331 4353294 5076662 7614993 7981039 15229986 15962078 23943117 27921641 47886234 55843282 83764923 167529846 180221501 307138051 360443002 540664503 614276102 921414153 1081329006 1842828306 1982436511 2358109499 3964873022 4716218998 5947309533 7074328497 11894619066 14148656994 21806801621 25939204489 43613603242 51878408978 65420404863 77817613467 130840809726 155635226934 167425774429 285331249379 334851548858 502277323287 570662498758 855993748137 1004554646574 1711987496274 1841683518719 3683367037438 5525050556157 11050101112314 20258518705909 40517037411818 60775556117727 121551112235454