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131141111144331 = 32911316381837727
BaseRepresentation
bin11101110100010110101011…
…010110000101111110001011
3122012022222010111221120110210
4131310112223112011332023
5114142103443423104311
61142525221134012203
736423426662326611
oct3564265326057613
9565288114846423
10131141111144331
11388706a6443462
1212860038947063
135823727696062
1424553996336b1
1510264343693a6
hex7745ab585f8b

131141111144331 has 32 divisors (see below), whose sum is σ = 183604579522560. Its totient is φ = 83152367230464.

The previous prime is 131141111144321. The next prime is 131141111144333. The reversal of 131141111144331 is 133441111141131.

It is not a de Polignac number, because 131141111144331 - 214 = 131141111127947 is a prime.

It is a super-2 number, since 2×1311411111443312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141111144333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39316411 + ... + 42521316.

It is an arithmetic number, because the mean of its divisors is an integer number (5737643110080).

Almost surely, 2131141111144331 is an apocalyptic number.

131141111144331 is a deficient number, since it is larger than the sum of its proper divisors (52463468378229).

131141111144331 is a wasteful number, since it uses less digits than its factorization.

131141111144331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81838035.

The product of its digits is 1728, while the sum is 30.

Adding to 131141111144331 its reverse (133441111141131), we get a palindrome (264582222285462).

The spelling of 131141111144331 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, one hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 29 87 113 163 339 489 3277 4727 9831 14181 18419 55257 534151 1602453 81837727 245513181 2373294083 7119882249 9247663151 13339549501 27742989453 40018648503 268182231379 386846935529 804546694137 1160540806587 1507369093613 4522107280839 43713703714777 131141111144331