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231232123120 = 24528388111593
BaseRepresentation
bin1101011101011010000…
…0100011000011110000
3211002211222000221001011
43113112200203003300
512242030410414440
6254120534520304
722464101421355
oct3272640430360
9732758027034
10231232123120
118a0795615a9
1238993206094
1318a60a44bbb
14b29801c62c
1560353319ea
hex35d68230f0

231232123120 has 80 divisors (see below), whose sum is σ = 540173364192. Its totient is φ = 92053463040.

The previous prime is 231232123103. The next prime is 231232123139. The reversal of 231232123120 is 21321232132.

231232123120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 231232123091 and 231232123100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19940044 + ... + 19951636.

Almost surely, 2231232123120 is an apocalyptic number.

231232123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231232123120 is an abundant number, since it is smaller than the sum of its proper divisors (308941241072).

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

231232123120 is a wasteful number, since it uses less digits than its factorization.

231232123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12770 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 231232123120 its reverse (21321232132), we get a palindrome (252553355252).

The spelling of 231232123120 in words is "two hundred thirty-one billion, two hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 881 1132 1415 1762 2264 2830 3524 4405 4528 5660 7048 8810 11320 11593 14096 17620 22640 23186 35240 46372 57965 70480 92744 115930 185488 231860 249323 463720 498646 927440 997292 1246615 1994584 2493230 3280819 3989168 4986460 6561638 9972920 10213433 13123276 16404095 19945840 20426866 26246552 32808190 40853732 51067165 52493104 65616380 81707464 102134330 131232760 163414928 204268660 262465520 408537320 817074640 2890401539 5780803078 11561606156 14452007695 23123212312 28904015390 46246424624 57808030780 115616061560 231232123120