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131970022074 = 232116722943441
BaseRepresentation
bin111101011101000000…
…1101011101010111010
3110121122012212201212100
41322322001223222322
54130233311201244
6140343131324230
712351224451642
oct1727201535272
9417565781770
10131970022074
1150a71700950
12216b05b0676
13c5a2083c77
14655cd9d522
153675ca3b69
hex1eba06baba

131970022074 has 96 divisors (see below), whose sum is σ = 317974587840. Its totient is φ = 39221107200.

The previous prime is 131970022049. The next prime is 131970022091. The reversal of 131970022074 is 470220079131.

It is a super-2 number, since 2×1319700220742 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3016194 + ... + 3059634.

It is an arithmetic number, because the mean of its divisors is an integer number (3312235290).

Almost surely, 2131970022074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131970022074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158987293920).

131970022074 is an abundant number, since it is smaller than the sum of its proper divisors (186004565766).

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

131970022074 is a wasteful number, since it uses less digits than its factorization.

131970022074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43756 (or 43753 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 131970022074 in words is "one hundred thirty-one billion, nine hundred seventy million, twenty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 229 402 458 603 687 737 1206 1374 1474 2061 2211 2519 4122 4422 5038 6633 7557 13266 15114 15343 22671 30686 43441 45342 46029 86882 92058 130323 138087 168773 260646 276174 337546 390969 477851 506319 781938 955702 1012638 1433553 1518957 2867106 2910547 3037914 4300659 5821094 8601318 8731641 9947989 17463282 19895978 26194923 29843967 32016017 52389846 59687934 64032034 89531901 96048051 109427879 179063802 192096102 218855758 288144153 328283637 576288306 656567274 666515263 984850911 1333030526 1969701822 1999545789 3999091578 5998637367 7331667893 11997274734 14663335786 21995003679 43990007358 65985011037 131970022074