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23231301120 = 29335336101
BaseRepresentation
bin10101101000101100…
…011000011000000000
32012222000210101002000
4111220230120120000
5340034203113440
614401115224000
71451456541606
oct255054303000
965860711060
1023231301120
119941511415
124604148000
132262c85731
1411a54db876
1590e79d730
hex568b18600

23231301120 has 160 divisors (see below), whose sum is σ = 82519763040. Its totient is φ = 6194995200.

The previous prime is 23231301113. The next prime is 23231301151. The reversal of 23231301120 is 2110313232.

23231301120 is a `hidden beast` number, since 232 + 313 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×232313011203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23231301093 and 23231301102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98931 + ... + 237170.

It is an arithmetic number, because the mean of its divisors is an integer number (515748519).

Almost surely, 223231301120 is an apocalyptic number.

23231301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231301120 is an abundant number, since it is smaller than the sum of its proper divisors (59288461920).

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

23231301120 is an equidigital number, since it uses as much as digits as its factorization.

23231301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336133 (or 336111 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23231301120 its reverse (2110313232), we get a palindrome (25341614352).

The spelling of 23231301120 in words is "twenty-three billion, two hundred thirty-one million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 336101 672202 1008303 1344404 1680505 2016606 2688808 3024909 3361010 4033212 5041515 5377616 6049818 6722020 8066424 9074727 10083030 10755232 12099636 13444040 15124545 16132848 18149454 20166060 21510464 24199272 26888080 30249090 32265696 36298908 40332120 43020928 45373635 48398544 53776160 60498180 64531392 72597816 80664240 86041856 90747270 96797088 107552320 120996360 129062784 145195632 161328480 172083712 181494540 193594176 215104640 241992720 258125568 290391264 322656960 362989080 387188352 430209280 483985440 516251136 580782528 645313920 725978160 774376704 860418560 967970880 1161565056 1290627840 1451956320 1548753408 1935941760 2323130112 2581255680 2903912640 3871883520 4646260224 5807825280 7743767040 11615650560 23231301120