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131001034140 = 22325727783523
BaseRepresentation
bin111101000000001000…
…1010010010110011100
3110112010200120001022100
41322000101102112130
54121242231043030
6140103034445100
712315220263144
oct1720021222634
9415120501270
10131001034140
1150614739979
122147bb93790
13c4793b4622
1464aa405924
15361ab9b360
hex1e8045259c

131001034140 has 36 divisors (see below), whose sum is σ = 397369804104. Its totient is φ = 34933609056.

The previous prime is 131001034133. The next prime is 131001034163. The reversal of 131001034140 is 41430100131.

131001034140 is a `hidden beast` number, since 1 + 310 + 0 + 10 + 341 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1310010341402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363891582 + ... + 363891941.

It is an arithmetic number, because the mean of its divisors is an integer number (11038050114).

Almost surely, 2131001034140 is an apocalyptic number.

131001034140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001034140 is an abundant number, since it is smaller than the sum of its proper divisors (266368769964).

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

131001034140 is a wasteful number, since it uses less digits than its factorization.

131001034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727783538 (or 727783533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131001034140 its reverse (41430100131), we get a palindrome (172431134271).

The spelling of 131001034140 in words is "one hundred thirty-one billion, one million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 727783523 1455567046 2183350569 2911134092 3638917615 4366701138 6550051707 7277835230 8733402276 10916752845 13100103414 14555670460 21833505690 26200206828 32750258535 43667011380 65500517070 131001034140