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10343112100 = 2252683315137
BaseRepresentation
bin10011010000111111…
…10101110110100100
3222200211101112102221
421220133311312210
5132140314041400
64430200442124
7514212000526
oct115037656644
928624345387
1010343112100
114428465232
122007a79344
13c8ab01499
14701959a16
15408085c1a
hex2687f5da4

10343112100 has 36 divisors (see below), whose sum is σ = 22449320964. Its totient is φ = 4136366080.

The previous prime is 10343112089. The next prime is 10343112119. The reversal of 10343112100 is 121134301.

It can be written as a sum of positive squares in 6 ways, for example, as 909263716 + 9433848384 = 30154^2 + 97128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675732 + ... + 690868.

It is an arithmetic number, because the mean of its divisors is an integer number (623592249).

Almost surely, 210343112100 is an apocalyptic number.

10343112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343112100 is an abundant number, since it is smaller than the sum of its proper divisors (12106208864).

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

10343112100 is a wasteful number, since it uses less digits than its factorization.

10343112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21984 (or 21977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10343112100 its reverse (121134301), we get a palindrome (10464246401).

The spelling of 10343112100 in words is "ten billion, three hundred forty-three million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6833 13666 15137 27332 30274 34165 60548 68330 75685 136660 151370 170825 302740 341650 378425 683300 756850 1513700 103431121 206862242 413724484 517155605 1034311210 2068622420 2585778025 5171556050 10343112100