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131561341152 = 2532087656651
BaseRepresentation
bin111101010000110101…
…0101100000011100000
3110120120201212121000220
41322201222230003200
54123414200404102
6140234412043040
712335132643243
oct1724152540340
9416521777026
10131561341152
1150881a4691a
12215b7763480
13c5384c3337
1465209b925a
15364ee781bc
hex1ea1aac0e0

131561341152 has 48 divisors (see below), whose sum is σ = 345514522752. Its totient is φ = 43832700800.

The previous prime is 131561341141. The next prime is 131561341183. The reversal of 131561341152 is 251143165131.

It is a happy number.

131561341152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 127974 + ... + 528677.

It is an arithmetic number, because the mean of its divisors is an integer number (7198219224).

Almost surely, 2131561341152 is an apocalyptic number.

131561341152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131561341152 is an abundant number, since it is smaller than the sum of its proper divisors (213953181600).

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

131561341152 is a wasteful number, since it uses less digits than its factorization.

131561341152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658751 (or 658743 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The spelling of 131561341152 in words is "one hundred thirty-one billion, five hundred sixty-one million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2087 4174 6261 8348 12522 16696 25044 33392 50088 66784 100176 200352 656651 1313302 1969953 2626604 3939906 5253208 7879812 10506416 15759624 21012832 31519248 63038496 1370430637 2740861274 4111291911 5481722548 8222583822 10963445096 16445167644 21926890192 32890335288 43853780384 65780670576 131561341152