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10434442100 = 2252238343787
BaseRepresentation
bin10011011011111000…
…01111001101110100
3222221012020120122112
421231330033031310
5132332204121400
64443222150152
7516401202665
oct115574171564
928835216575
1010434442100
114474a74875
122032582358
13ca39ca8c4
1470db3136c
154110c6835
hex26df0f374

10434442100 has 36 divisors (see below), whose sum is σ = 22652758464. Its totient is φ = 4171930080.

The previous prime is 10434442093. The next prime is 10434442103. The reversal of 10434442100 is 124443401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434442103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216407 + ... + 260193.

Almost surely, 210434442100 is an apocalyptic number.

10434442100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434442100 is an abundant number, since it is smaller than the sum of its proper divisors (12218316364).

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

10434442100 is a wasteful number, since it uses less digits than its factorization.

10434442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46184 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10434442100 its reverse (124443401), we get a palindrome (10558885501).

The spelling of 10434442100 in words is "ten billion, four hundred thirty-four million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2383 4766 9532 11915 23830 43787 47660 59575 87574 119150 175148 218935 238300 437870 875740 1094675 2189350 4378700 104344421 208688842 417377684 521722105 1043444210 2086888420 2608610525 5217221050 10434442100