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23013487120 = 2451331271031
BaseRepresentation
bin10101011011101101…
…011111001000010000
32012101211221021102211
4111123231133020100
5334112423041440
614323334521504
71443203261431
oct253355371020
965354837384
1023013487120
11983a571548
124563206294
132229b02000
1411845dd488
158ea5c5eea
hex55bb5f210

23013487120 has 160 divisors (see below), whose sum is σ = 58476257280. Its totient is φ = 8422202880.

The previous prime is 23013487117. The next prime is 23013487127. The reversal of 23013487120 is 2178431032.

It is not an unprimeable number, because it can be changed into a prime (23013487127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22321005 + ... + 22322035.

It is an arithmetic number, because the mean of its divisors is an integer number (365476608).

Almost surely, 223013487120 is an apocalyptic number.

23013487120 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 23013487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238128640).

23013487120 is an abundant number, since it is smaller than the sum of its proper divisors (35462770160).

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

23013487120 is a wasteful number, since it uses less digits than its factorization.

23013487120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 23013487120 in words is "twenty-three billion, thirteen million, four hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 169 208 254 260 338 508 520 635 676 845 1016 1031 1040 1270 1352 1651 1690 2032 2062 2197 2540 2704 3302 3380 4124 4394 5080 5155 6604 6760 8248 8255 8788 10160 10310 10985 13208 13403 13520 16496 16510 17576 20620 21463 21970 26416 26806 33020 35152 41240 42926 43940 53612 66040 67015 82480 85852 87880 107224 107315 130937 132080 134030 171704 174239 175760 214448 214630 261874 268060 279019 343408 348478 429260 523748 536120 558038 654685 696956 858520 871195 1047496 1072240 1116076 1309370 1393912 1395095 1702181 1717040 1742390 2094992 2232152 2265107 2618740 2787824 2790190 3404362 3484780 4464304 4530214 5237480 5580380 6808724 6969560 8510905 9060428 10474960 11160760 11325535 13617448 13939120 17021810 18120856 22128353 22321520 22651070 27234896 34043620 36241712 44256706 45302140 68087240 88513412 90604280 110641765 136174480 177026824 181208560 221283530 287668589 354053648 442567060 575337178 885134120 1150674356 1438342945 1770268240 2301348712 2876685890 4602697424 5753371780 11506743560 23013487120