Search a number
-
+
123301321113040 = 24574122324081913
BaseRepresentation
bin11100000010010001010011…
…011100011111110111010000
3121011120111021001212211112021
4130002101103130133313100
5112130132101201104130
61114123502301341224
734654140452510260
oct3402212334376720
9534514231784467
10123301321113040
1136318884344a44
12119b4756b67814
1353a53596a6365
142263b5c7237a0
15e3c53c51937a
hex70245371fdd0

123301321113040 has 160 divisors (see below), whose sum is σ = 337125218605056. Its totient is φ = 41058696683520.

The previous prime is 123301321113031. The next prime is 123301321113041. The reversal of 123301321113040 is 40311123103321.

It is a junction number, because it is equal to n+sod(n) for n = 123301321112996 and 123301321113014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123301321113041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6920877 + ... + 17161036.

Almost surely, 2123301321113040 is an apocalyptic number.

123301321113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123301321113040 is an abundant number, since it is smaller than the sum of its proper divisors (213823897492016).

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

123301321113040 is a wasteful number, since it uses less digits than its factorization.

123301321113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24082197 (or 24082191 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 123301321113040 its reverse (40311123103321), we get a palindrome (163612444216361).

The spelling of 123301321113040 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred twenty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 223 280 287 328 410 446 560 574 656 820 892 1115 1148 1435 1561 1640 1784 2230 2296 2870 3122 3280 3568 4460 4592 5740 6244 7805 8920 9143 11480 12488 15610 17840 18286 22960 24976 31220 36572 45715 62440 64001 73144 91430 124880 128002 146288 182860 256004 320005 365720 512008 640010 731440 1024016 1280020 2560040 5120080 24081913 48163826 96327652 120409565 168573391 192655304 240819130 337146782 385310608 481638260 674293564 842866955 963276520 987358433 1348587128 1685733910 1926553040 1974716866 2697174256 3371467820 3949433732 4936792165 5370266599 6742935640 6911509031 7898867464 9873584330 10740533198 13485871280 13823018062 15797734928 19747168660 21481066396 26851332995 27646036124 34557545155 37591866193 39494337320 42962132792 53702665990 55292072248 69115090310 75183732386 78988674640 85924265584 107405331980 110584144496 138230180620 150367464772 187959330965 214810663960 220180930559 276460361240 300734929544 375918661930 429621327920 440361861118 552920722480 601469859088 751837323860 880723722236 1100904652795 1503674647720 1541266513913 1761447444472 2201809305590 3007349295440 3082533027826 3522894888944 4403618611180 6165066055652 7706332569565 8807237222360 12330132111304 15412665139130 17614474444720 24660264222608 30825330278260 61650660556520 123301321113040