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10023514420 = 2251193420097
BaseRepresentation
bin10010101010111001…
…01011000100110100
3221212120000021211211
421111130223010310
5131012004430140
64334342411204
7503251316053
oct112534530464
927776007754
1010023514420
114284015817
121b38a30b04
13c3983142a
146b132439a
153d9ea52ea
hex25572b134

10023514420 has 24 divisors (see below), whose sum is σ = 21067074504. Its totient is φ = 4006035456.

The previous prime is 10023514411. The next prime is 10023514421. The reversal of 10023514420 is 2441532001.

It can be written as a sum of positive squares in 4 ways, for example, as 2942628516 + 7080885904 = 54246^2 + 84148^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10023514391 and 10023514400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023514421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186189 + ... + 233908.

It is an arithmetic number, because the mean of its divisors is an integer number (877794771).

Almost surely, 210023514420 is an apocalyptic number.

10023514420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023514420 is an abundant number, since it is smaller than the sum of its proper divisors (11043560084).

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

10023514420 is a wasteful number, since it uses less digits than its factorization.

10023514420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421299 (or 421297 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 10023514420 in words is "ten billion, twenty-three million, five hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1193 2386 4772 5965 11930 23860 420097 840194 1680388 2100485 4200970 8401940 501175721 1002351442 2004702884 2505878605 5011757210 10023514420