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115233304252242 = 231119972813371339
BaseRepresentation
bin11010001100110111011000…
…001010101000111101010010
3120010000012022002202220100110
4122030313120022220331102
5110100440301342032432
61045025241004102150
733162221462640231
oct3214673012507522
9503005262686313
10115233304252242
1133798196140560
1210b10ba0534956
134c3b5b948a607
1420654709b8b18
15d4c739124dcc
hex68cdd82a8f52

115233304252242 has 128 divisors (see below), whose sum is σ = 268330614451200. Its totient is φ = 32623763558400.

The previous prime is 115233304252219. The next prime is 115233304252259. The reversal of 115233304252242 is 242252403332511.

It is a self number, because there is not a number n which added to its sum of digits gives 115233304252242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32494609 + ... + 35865947.

It is an arithmetic number, because the mean of its divisors is an integer number (2096332925400).

Almost surely, 2115233304252242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115233304252242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134165307225600).

115233304252242 is an abundant number, since it is smaller than the sum of its proper divisors (153097310198958).

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

115233304252242 is a wasteful number, since it uses less digits than its factorization.

115233304252242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371752.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 115233304252242 its reverse (242252403332511), we get a palindrome (357485707584753).

The spelling of 115233304252242 in words is "one hundred fifteen trillion, two hundred thirty-three billion, three hundred four million, two hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 97 114 194 209 281 291 418 562 582 627 843 1067 1254 1686 1843 2134 3091 3201 3686 5339 5529 6182 6402 9273 10678 11058 16017 18546 20273 27257 32034 40546 54514 58729 60819 81771 117458 121638 163542 176187 299827 352374 517883 599654 899481 1035766 1553649 1798962 3107298 3371339 5696713 6742678 10114017 11393426 17090139 20228034 34180278 37084729 64055441 74169458 111254187 128110882 192166323 222508374 327019883 384332646 654039766 704609851 947346259 981059649 1409219702 1894692518 1962119298 2113829553 2842038777 3597218713 4227659106 5684077554 6213377777 7194437426 10420808849 10791656139 12426755554 17999578921 18640133331 20841617698 21583312278 31262426547 35999157842 37280266662 53998736763 62524853094 68347155547 91892587123 107997473526 136694311094 183785174246 197995368131 205041466641 275677761369 395990736262 410082933282 551355522738 593986104393 1010818458353 1187972208786 1745959155337 2021636916706 3032455375059 3491918310674 5237877466011 6064910750118 10475754932022 19205550708707 38411101417414 57616652126121 115233304252242