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13231095120 = 2433531197597
BaseRepresentation
bin11000101001010001…
…00111110101010000
31021011002122021101000
430110220213311100
5204044130020440
610024524142000
7645610311225
oct142450476520
937132567330
1013231095120
11567a676661
122693097900
13132b225589
148d732394c
1552689e730
hex314a27d50

13231095120 has 160 divisors (see below), whose sum is σ = 47044131840. Its totient is φ = 3414458880.

The previous prime is 13231095083. The next prime is 13231095131. The reversal of 13231095120 is 2159013231.

13231095120 is a `hidden beast` number, since 132 + 3 + 10 + 9 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31839 + ... + 165758.

It is an arithmetic number, because the mean of its divisors is an integer number (294025824).

Almost surely, 213231095120 is an apocalyptic number.

13231095120 is a gapful number since it is divisible by the number (10) 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 13231095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522065920).

13231095120 is an abundant number, since it is smaller than the sum of its proper divisors (33813036720).

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

13231095120 is a wasteful number, since it uses less digits than its factorization.

13231095120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197650 (or 197638 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 13231095120 in words is "thirteen billion, two hundred thirty-one million, ninety-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 197597 395194 592791 790388 987985 1185582 1580776 1778373 1975970 2371164 2963955 3161552 3556746 3951940 4742328 5335119 5927910 6125507 7113492 7903880 8891865 9484656 10670238 11855820 12251014 14226984 15807760 17783730 18376521 21340476 23711640 24502028 26675595 28453968 30627535 35567460 36753042 42680952 47423280 49004056 53351190 55129563 61255070 71134920 73506084 85361904 91882605 98008112 106702380 110259126 122510140 142269840 147012168 165388689 183765210 213404760 220518252 245020280 275647815 294024336 330777378 367530420 426809520 441036504 490040560 551295630 661554756 735060840 826943445 882073008 1102591260 1323109512 1470121680 1653886890 2205182520 2646219024 3307773780 4410365040 6615547560 13231095120