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23131446120 = 2332569192987
BaseRepresentation
bin10101100010101111…
…011101101101101000
32012201001220012202200
4111202233131231220
5334333122233440
614343151100200
71446135022266
oct254257355550
965631805680
1023131446120
1198a0109922
124596811660
132248392c33
141196147436
15905b26c30
hex562bddb68

23131446120 has 96 divisors (see below), whose sum is σ = 75286804320. Its totient is φ = 6159392640.

The previous prime is 23131446077. The next prime is 23131446137. The reversal of 23131446120 is 2164413132.

It is a happy number.

23131446120 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 44 + 612 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202267 + ... + 295253.

It is an arithmetic number, because the mean of its divisors is an integer number (784237545).

Almost surely, 223131446120 is an apocalyptic number.

23131446120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131446120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37643402160).

23131446120 is an abundant number, since it is smaller than the sum of its proper divisors (52155358200).

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

23131446120 is a wasteful number, since it uses less digits than its factorization.

23131446120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93695 (or 93688 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23131446120 its reverse (2164413132), we get a palindrome (25295859252).

The spelling of 23131446120 in words is "twenty-three billion, one hundred thirty-one million, four hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 691 1382 2073 2764 3455 4146 5528 6219 6910 8292 10365 12438 13820 16584 20730 24876 27640 31095 41460 49752 62190 82920 92987 124380 185974 248760 278961 371948 464935 557922 743896 836883 929870 1115844 1394805 1673766 1859740 2231688 2789610 3347532 3719480 4184415 5579220 6695064 8368830 11158440 16737660 33475320 64254017 128508034 192762051 257016068 321270085 385524102 514032136 578286153 642540170 771048204 963810255 1156572306 1285080340 1542096408 1927620510 2313144612 2570160680 2891430765 3855241020 4626289224 5782861530 7710482040 11565723060 23131446120