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10343374100 = 2252433238877
BaseRepresentation
bin10011010001000001…
…10101110100010100
3222200211212211211122
421220200311310110
5132140400432400
64430210223112
7514214141423
oct115040656424
928624784748
1010343374100
114428624064
122007b84a98
13c8ab93807
147019c72ba
154080d8685
hex268835d14

10343374100 has 36 divisors (see below), whose sum is σ = 22497052284. Its totient is φ = 4127777280.

The previous prime is 10343374051. The next prime is 10343374121. The reversal of 10343374100 is 147334301.

It can be written as a sum of positive squares in 6 ways, for example, as 1219685776 + 9123688324 = 34924^2 + 95518^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10343374100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76139 + ... + 162738.

It is an arithmetic number, because the mean of its divisors is an integer number (624918119).

Almost surely, 210343374100 is an apocalyptic number.

10343374100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343374100 is an abundant number, since it is smaller than the sum of its proper divisors (12153678184).

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

10343374100 is a wasteful number, since it uses less digits than its factorization.

10343374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239324 (or 239317 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 10343374100 in words is "ten billion, three hundred forty-three million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1732 2165 4330 8660 10825 21650 43300 238877 477754 955508 1194385 2388770 4777540 5971925 11943850 23887700 103433741 206867482 413734964 517168705 1034337410 2068674820 2585843525 5171687050 10343374100