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10033132120 = 2351171321163
BaseRepresentation
bin10010101100000010…
…10111001001011000
3221220020002220211221
421112001113021120
5131021440211440
64335324501424
7503426134024
oct112601271130
927806086757
1010033132120
114289494730
121b400aa874
13c3b81ac8b
146b2709384
153dac54d4a
hex256057258

10033132120 has 64 divisors (see below), whose sum is σ = 24973712640. Its totient is φ = 3597014400.

The previous prime is 10033132111. The next prime is 10033132129. The reversal of 10033132120 is 2123133001.

It is an interprime number because it is at equal distance from previous prime (10033132111) and next prime (10033132129).

It is a junction number, because it is equal to n+sod(n) for n = 10033132094 and 10033132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033132129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129342 + ... + 191821.

It is an arithmetic number, because the mean of its divisors is an integer number (390214260).

Almost surely, 210033132120 is an apocalyptic number.

10033132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033132120 is an abundant number, since it is smaller than the sum of its proper divisors (14940580520).

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

10033132120 is a wasteful number, since it uses less digits than its factorization.

10033132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321256 (or 321252 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10033132120 its reverse (2123133001), we get a palindrome (12156265121).

The spelling of 10033132120 in words is "ten billion, thirty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 15620 31240 321163 642326 1284652 1605815 2569304 3211630 3532793 6423260 7065586 12846520 14131172 17663965 22802573 28262344 35327930 45605146 70655860 91210292 114012865 141311720 182420584 228025730 250828303 456051460 501656606 912102920 1003313212 1254141515 2006626424 2508283030 5016566060 10033132120