Search a number
-
+
121032313111182 = 231143731751933347
BaseRepresentation
bin11011100001010000001000…
…000001111000001010001110
3120212112120120000000120211010
4123201100020001320022032
5111330443134124024212
61105225251013310050
734331203355641344
oct3341201001701216
9525476500016733
10121032313111182
1135623574499870
12116a8a58935326
13526c3b5073435
1421c5dd0c03994
15ded4dcb0703c
hex6e140807828e

121032313111182 has 128 divisors (see below), whose sum is σ = 273937055293440. Its totient is φ = 35329708189440.

The previous prime is 121032313111181. The next prime is 121032313111211. The reversal of 121032313111182 is 281111313230121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121032313111181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3629464633 + ... + 3629497979.

It is an arithmetic number, because the mean of its divisors is an integer number (2140133244480).

Almost surely, 2121032313111182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121032313111182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136968527646720).

121032313111182 is an abundant number, since it is smaller than the sum of its proper divisors (152904742182258).

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

121032313111182 is a wasteful number, since it uses less digits than its factorization.

121032313111182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50998.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 121032313111182 in words is "one hundred twenty-one trillion, thirty-two billion, three hundred thirteen million, one hundred eleven thousand, one hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 43 66 73 86 129 146 219 258 438 473 803 946 1419 1606 2409 2838 3139 4818 6278 9417 17519 18834 33347 34529 35038 52557 66694 69058 100041 103587 105114 192709 200082 207174 366817 385418 578127 733634 753317 1100451 1156254 1278887 1433921 1506634 2200902 2259951 2434331 2557774 2867842 3836661 4301763 4519902 4868662 7302993 7673322 8286487 8603526 14067757 14605986 15773131 16572974 24859461 26777641 28135514 31546262 42203271 47319393 49718922 53555282 54992141 80332923 84406542 94638786 104676233 109984282 160665846 164976423 209352466 314028699 329952846 584206093 604913551 628057398 1151438563 1168412186 1209827102 1752618279 1814740653 2302877126 3454315689 3505236558 3629481306 6426267023 6908631378 12852534046 19278801069 25120861999 38557602138 42647044789 50241723998 75362585997 85294089578 127941134367 150725171994 255882268734 276329481989 469117492679 552658963978 828988445967 938234985358 1407352478037 1657976891934 1833822925927 2814704956074 3667645851854 5501468777781 11002937555562 20172052185197 40344104370394 60516156555591 121032313111182