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10343424100 = 2252103434241
BaseRepresentation
bin10011010001000010…
…00010000001100100
3222200211222101102111
421220201002001210
5132140404032400
64430211250404
7514214440252
oct115041020144
928624871374
1010343424100
114428658689
122007ba9a04
13c8abb04b9
147019db5d2
154080e83ba
hex268842064

10343424100 has 18 divisors (see below), whose sum is σ = 22445230514. Its totient is φ = 4137369600.

The previous prime is 10343424089. The next prime is 10343424149. The reversal of 10343424100 is 142434301.

It can be written as a sum of positive squares in 3 ways, for example, as 1662029824 + 8681394276 = 40768^2 + 93174^2 .

It is a super-2 number, since 2×103434241002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51717021 + ... + 51717220.

Almost surely, 210343424100 is an apocalyptic number.

10343424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343424100 is an abundant number, since it is smaller than the sum of its proper divisors (12101806414).

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

10343424100 is a wasteful number, since it uses less digits than its factorization.

10343424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103434255 (or 103434248 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10343424100 its reverse (142434301), we get a palindrome (10485858401).

The spelling of 10343424100 in words is "ten billion, three hundred forty-three million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103434241 206868482 413736964 517171205 1034342410 2068684820 2585856025 5171712050 10343424100