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131166002296 = 237537328293
BaseRepresentation
bin111101000101000011…
…0100101110001111000
3110112120011222022002001
41322022012211301320
54122111444033141
6140131250350344
712322262423650
oct1721206456170
9415504868061
10131166002296
115069987499a
122150728b3b4
13c4a4624514
1464c42a9360
15362a3d5a31
hex1e8a1a5c78

131166002296 has 96 divisors (see below), whose sum is σ = 290384883360. Its totient is φ = 54391274496.

The previous prime is 131166002291. The next prime is 131166002339. The reversal of 131166002296 is 692200661131.

131166002296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131166002291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15812326 + ... + 15820618.

It is an arithmetic number, because the mean of its divisors is an integer number (3024842535).

Almost surely, 2131166002296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131166002296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145192441680).

131166002296 is an abundant number, since it is smaller than the sum of its proper divisors (159218881064).

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

131166002296 is an equidigital number, since it uses as much as digits as its factorization.

131166002296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 131166002296 in words is "one hundred thirty-one billion, one hundred sixty-six million, two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 53 56 73 106 146 212 292 371 424 511 584 742 1022 1484 2044 2968 3869 4088 5329 7738 8293 10658 15476 16586 21316 27083 30952 33172 37303 42632 54166 58051 66344 74606 108332 116102 149212 216664 232204 282437 298424 439529 464408 564874 605389 879058 1129748 1210778 1758116 1977059 2259496 2421556 3076703 3516232 3954118 4237723 4843112 6153406 7908236 8475446 12306812 15816472 16950892 24613624 32085617 33901784 44193397 64171234 88386794 128342468 176773588 224599319 256684936 309353779 353547176 449198638 618707558 898397276 1237415116 1796794552 2342250041 2474830232 4684500082 9369000164 16395750287 18738000328 32791500574 65583001148 131166002296