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131433123132320 = 2556712260552531
BaseRepresentation
bin11101111000100110101000…
…100111011011001110100000
3122020100212212100000112202012
4131320212220213123032200
5114211400014010213240
61143311313200212052
736453505213301432
oct3570465047331640
9566325770015665
10131433123132320
1138973524610039
12128a875300a028
1358451235bb229
14246557b90c652
15102dd255e9b65
hex7789a89db3a0

131433123132320 has 48 divisors (see below), whose sum is σ = 315145242282528. Its totient is φ = 51788573886720.

The previous prime is 131433123132317. The next prime is 131433123132397. The reversal of 131433123132320 is 23231321334131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6130265546 + ... + 6130286985.

It is an arithmetic number, because the mean of its divisors is an integer number (6565525880886).

Almost surely, 2131433123132320 is an apocalyptic number.

131433123132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131433123132320 is an abundant number, since it is smaller than the sum of its proper divisors (183712119150208).

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

131433123132320 is a wasteful number, since it uses less digits than its factorization.

131433123132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12260552613 (or 12260552605 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 131433123132320 its reverse (23231321334131), we get a palindrome (154664444466451).

The spelling of 131433123132320 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 12260552531 24521105062 49042210124 61302762655 98084420248 122605525310 196168840496 245211050620 392337680992 490422101240 821457019577 980844202480 1642914039154 1961688404960 3285828078308 4107285097885 6571656156616 8214570195770 13143312313232 16429140391540 26286624626464 32858280783080 65716561566160 131433123132320