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10023133320 = 233359280679
BaseRepresentation
bin10010101010110110…
…01110000010001000
3221212112021221002000
421111123032002020
5131011410231240
64334330311000
7503245141014
oct112533160210
927775257060
1010023133320
114283885462
121b38888460
13c39729b25
146b1265544
153d9e2c430
hex2556ce088

10023133320 has 64 divisors (see below), whose sum is σ = 33410448000. Its totient is φ = 2672835264.

The previous prime is 10023133313. The next prime is 10023133331. The reversal of 10023133320 is 2333132001.

10023133320 is a `hidden beast` number, since 100 + 231 + 3 + 332 + 0 = 666.

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 = 10023133293 and 10023133302.

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, 4639260 + ... + 4641419.

It is an arithmetic number, because the mean of its divisors is an integer number (522038250).

Almost surely, 210023133320 is an apocalyptic number.

10023133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023133320 is an abundant number, since it is smaller than the sum of its proper divisors (23387314680).

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

10023133320 is a wasteful number, since it uses less digits than its factorization.

10023133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280699 (or 9280689 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10023133320 its reverse (2333132001), we get a palindrome (12356265321).

The spelling of 10023133320 in words is "ten billion, twenty-three million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 9280679 18561358 27842037 37122716 46403395 55684074 74245432 83526111 92806790 111368148 139210185 167052222 185613580 222736296 250578333 278420370 334104444 371227160 417630555 501156666 556840740 668208888 835261110 1002313332 1113681480 1252891665 1670522220 2004626664 2505783330 3341044440 5011566660 10023133320