Search a number
-
+
233121310101300 = 223525923313118887
BaseRepresentation
bin110101000000010111001000…
…111000001100111100110100
31010120102011211220221202010110
4311000113020320030330310
5221023424420341220200
62143450241300423020
7100050313246064625
oct6500271070147464
91116364756852113
10233121310101300
1168309213101745
122219057b0a7a70
13a01032597904a
14417d1bb1dda4c
151be404859ab50
hexd405c8e0cf34

233121310101300 has 72 divisors (see below), whose sum is σ = 674509095835456. Its totient is φ = 62164628444160.

The previous prime is 233121310101283. The next prime is 233121310101341. The reversal of 233121310101300 is 3101013121332.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11210457 + ... + 24329343.

Almost surely, 2233121310101300 is an apocalyptic number.

233121310101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233121310101300 is an abundant number, since it is smaller than the sum of its proper divisors (441387785734156).

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

233121310101300 is a wasteful number, since it uses less digits than its factorization.

233121310101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13178137 (or 13178130 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 233121310101300 its reverse (3101013121332), we get a palindrome (236222323222632).

The spelling of 233121310101300 in words is "two hundred thirty-three trillion, one hundred twenty-one billion, three hundred ten million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 59233 118466 177699 236932 296165 355398 592330 710796 888495 1184660 1480825 1776990 2961650 3553980 4442475 5923300 8884950 13118887 17769900 26237774 39356661 52475548 65594435 78713322 131188870 157426644 196783305 262377740 327972175 393566610 655944350 787133220 983916525 1311888700 1967833050 3935666100 777071033671 1554142067342 2331213101013 3108284134684 3885355168355 4662426202026 7770710336710 9324852404052 11656065505065 15541420673420 19426775841775 23312131010130 38853551683550 46624262020260 58280327525325 77707103367100 116560655050650 233121310101300