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1130113413324 = 22327179199125897
BaseRepresentation
bin10000011100100000000…
…000100011000011001100
311000001000112202122221100
4100130200000203003030
5122003433013211244
62223100020303100
7144435156342330
oct20344000430314
94001015678840
101130113413324
113a6307618145
12163034841a90
13827527cc23c
143c9aa9d57c0
151e5e452db69
hex107200230cc

1130113413324 has 144 divisors (see below), whose sum is σ = 3299534784000. Its totient is φ = 319469660928.

The previous prime is 1130113413313. The next prime is 1130113413337. The reversal of 1130113413324 is 4233143110311.

1130113413324 is a `hidden beast` number, since 1 + 1 + 301 + 1 + 34 + 1 + 3 + 324 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8913544 + ... + 9039440.

It is an arithmetic number, because the mean of its divisors is an integer number (22913436000).

Almost surely, 21130113413324 is an apocalyptic number.

1130113413324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130113413324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649767392000).

1130113413324 is an abundant number, since it is smaller than the sum of its proper divisors (2169421370676).

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

1130113413324 is a wasteful number, since it uses less digits than its factorization.

1130113413324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126292 (or 126287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1130113413324 its reverse (4233143110311), we get a palindrome (5363256523635).

The spelling of 1130113413324 in words is "one trillion, one hundred thirty billion, one hundred thirteen million, four hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 199 252 358 398 537 597 716 796 1074 1194 1253 1393 1611 1791 2148 2388 2506 2786 3222 3582 3759 4179 5012 5572 6444 7164 7518 8358 11277 12537 15036 16716 22554 25074 35621 45108 50148 71242 106863 125897 142484 213726 249347 251794 320589 377691 427452 498694 503588 641178 748041 755382 881279 997388 1133073 1282356 1496082 1510764 1762558 2244123 2266146 2643837 2992164 3525116 4488246 4532292 5287674 7931511 8976492 10575348 15863022 22535563 25053503 31726044 45071126 50107006 67606689 75160509 90142252 100214012 135213378 150321018 157748941 175374521 202820067 225481527 270426756 300642036 315497882 350749042 405640134 450963054 473246823 526123563 630995764 701498084 811280268 901926108 946493646 1052247126 1419740469 1578370689 1892987292 2104494252 2839480938 3156741378 4484577037 5678961876 6313482756 8969154074 13453731111 17938308148 26907462222 31392039259 40361193333 53814924444 62784078518 80722386666 94176117777 125568157036 161444773332 188352235554 282528353331 376704471108 565056706662 1130113413324