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13233110120 = 23519311095153
BaseRepresentation
bin11000101001100000…
…10011110001101000
31021011020102122102122
430110300103301220
5204100134010440
610025035250412
7645633402656
oct142460236150
937136378378
1013233110120
11568082254a
1226938a9a08
13132b77c799
148d76c9dd6
15526b4b7b5
hex314c13c68

13233110120 has 128 divisors (see below), whose sum is σ = 32655744000. Its totient is φ = 4807434240.

The previous prime is 13233110083. The next prime is 13233110153. The reversal of 13233110120 is 2101133231.

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, 2565464 + ... + 2570616.

It is an arithmetic number, because the mean of its divisors is an integer number (255123000).

Almost surely, 213233110120 is an apocalyptic number.

13233110120 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 13233110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327872000).

13233110120 is an abundant number, since it is smaller than the sum of its proper divisors (19422633880).

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

13233110120 is a wasteful number, since it uses less digits than its factorization.

13233110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13233110120 its reverse (2101133231), we get a palindrome (15334243351).

The spelling of 13233110120 in words is "thirteen billion, two hundred thirty-three million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 109 124 152 155 190 218 248 310 380 436 545 589 620 760 872 1090 1178 1240 2071 2180 2356 2945 3379 4142 4360 4712 5153 5890 6758 8284 10306 10355 11780 13516 16568 16895 20612 20710 23560 25765 27032 33790 41224 41420 51530 64201 67580 82840 97907 103060 128402 135160 159743 195814 206120 256804 319486 321005 391628 489535 513608 561677 638972 642010 783256 798715 979070 1123354 1277944 1284020 1597430 1958140 2246708 2568040 2808385 3035117 3194860 3916280 4493416 5616770 6070234 6389720 10671863 11233540 12140468 15175585 17411987 21343726 22467080 24280936 30351170 34823974 42687452 53359315 60702340 69647948 85374904 87059935 106718630 121404680 139295896 174119870 213437260 330827753 348239740 426874520 661655506 696479480 1323311012 1654138765 2646622024 3308277530 6616555060 13233110120