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131141330201040 = 2435546422209171
BaseRepresentation
bin11101110100010110111000…
…011001101110100111010000
3122012022222200210010210210020
4131310112320121232213100
5114142104421012413130
61142525255001103440
736423435262304115
oct3564267031564720
9565288623123706
10131141330201040
11388707a9061a65
121286009a187b80
135823760b93303
1424553ba77690c
1510264486d9e10
hex7745b866e9d0

131141330201040 has 40 divisors (see below), whose sum is σ = 406538123623968. Its totient is φ = 34971021386880.

The previous prime is 131141330200987. The next prime is 131141330201149. The reversal of 131141330201040 is 40102033141131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131141330201040.

It is a congruent number.

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, 273211104346 + ... + 273211104825.

Almost surely, 2131141330201040 is an apocalyptic number.

131141330201040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141330201040 is an abundant number, since it is smaller than the sum of its proper divisors (275396793422928).

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

131141330201040 is a wasteful number, since it uses less digits than its factorization.

131141330201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546422209187 (or 546422209181 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141330201040 its reverse (40102033141131), we get a palindrome (171243363342171).

The spelling of 131141330201040 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred thirty million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 546422209171 1092844418342 1639266627513 2185688836684 2732111045855 3278533255026 4371377673368 5464222091710 6557066510052 8196333137565 8742755346736 10928444183420 13114133020104 16392666275130 21856888366840 26228266040208 32785332550260 43713776733680 65570665100520 131141330201040