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131451206232 = 233171871172199
BaseRepresentation
bin111101001101100011…
…0100011101001011000
3110120022001122011022210
41322123012203221120
54123203002044412
6140215435315120
712332324550213
oct1723306435130
9416261564283
10131451206232
1150825862925
12215868abaa0
13c51b741748
14651010a77a
15364547083c
hex1e9b1a3a58

131451206232 has 64 divisors (see below), whose sum is σ = 348147072000. Its totient is φ = 41217313280.

The previous prime is 131451206231. The next prime is 131451206281. The reversal of 131451206232 is 232602154131.

131451206232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131451206232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131451206231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677269 + ... + 849467.

It is an arithmetic number, because the mean of its divisors is an integer number (5439798000).

Almost surely, 2131451206232 is an apocalyptic number.

131451206232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131451206232 is an abundant number, since it is smaller than the sum of its proper divisors (216695865768).

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

131451206232 is a wasteful number, since it uses less digits than its factorization.

131451206232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174096 (or 174092 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 131451206232 in words is "one hundred thirty-one billion, four hundred fifty-one million, two hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1871 3742 5613 7484 11226 14968 22452 31807 44904 63614 95421 127228 172199 190842 254456 344398 381684 516597 688796 763368 1033194 1377592 2066388 2927383 4132776 5854766 8782149 11709532 17564298 23419064 35128596 70257192 322184329 644368658 966552987 1288737316 1933105974 2577474632 3866211948 5477133593 7732423896 10954267186 16431400779 21908534372 32862801558 43817068744 65725603116 131451206232