Search a number
-
+
13312242240120 = 2332543859963969
BaseRepresentation
bin1100000110110111111101…
…1110000100101001111000
31202010122020001100210100100
43001231333132010221320
53221101433003140440
644151320515235400
72542530526013145
oct301557736045170
952118201323310
1013312242240120
11427276577120a
1215b0002ba8b60
13757453ba5195
1434045d0013cc
151814369b6230
hexc1b7f784a78

13312242240120 has 96 divisors (see below), whose sum is σ = 44270945175600. Its totient is φ = 3467374718976.

The previous prime is 13312242240119. The next prime is 13312242240127. The reversal of 13312242240120 is 2104224221331.

13312242240120 is a `hidden beast` number, since 1 + 3 + 3 + 12 + 242 + 2 + 401 + 2 + 0 = 666.

It is a super-2 number, since 2×133122422401202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312242240127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429966505 + ... + 429997464.

Almost surely, 213312242240120 is an apocalyptic number.

13312242240120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312242240120 is an abundant number, since it is smaller than the sum of its proper divisors (30958702935480).

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

13312242240120 is a wasteful number, since it uses less digits than its factorization.

13312242240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859964029 (or 859964022 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13312242240120 its reverse (2104224221331), we get a palindrome (15416466461451).

The spelling of 13312242240120 in words is "thirteen trillion, three hundred twelve billion, two hundred forty-two million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 859963969 1719927938 2579891907 3439855876 4299819845 5159783814 6879711752 7739675721 8599639690 10319567628 12899459535 15479351442 17199279380 20639135256 25798919070 30958702884 34398558760 36978450667 38698378605 51597838140 61917405768 73956901334 77396757210 103195676280 110935352001 147913802668 154793514420 184892253335 221870704002 295827605336 309587028840 332806056003 369784506670 443741408004 554676760005 665612112006 739569013340 887482816008 1109353520010 1331224224012 1479138026680 1664030280015 2218707040020 2662448448024 3328060560030 4437414080040 6656121120060 13312242240120