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10434231200 = 255213042789
BaseRepresentation
bin10011011011110110…
…11011101110100000
3222221011211212100102
421231323123232200
5132332130344300
64443213441532
7516366334061
oct115573335640
928834755312
1010434231200
114474940378
1220324a02a8
13ca3955903
1470dab8568
154110840d5
hex26dedbba0

10434231200 has 36 divisors (see below), whose sum is σ = 25472568870. Its totient is φ = 4173692160.

The previous prime is 10434231191. The next prime is 10434231239. The reversal of 10434231200 is 213243401.

It can be written as a sum of positive squares in 3 ways, for example, as 9284478736 + 1149752464 = 96356^2 + 33908^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6520595 + ... + 6522194.

Almost surely, 210434231200 is an apocalyptic number.

10434231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434231200 is an abundant number, since it is smaller than the sum of its proper divisors (15038337670).

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

10434231200 is a wasteful number, since it uses less digits than its factorization.

10434231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042809 (or 13042796 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10434231200 its reverse (213243401), we get a palindrome (10647474601).

The spelling of 10434231200 in words is "ten billion, four hundred thirty-four million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 13042789 26085578 52171156 65213945 104342312 130427890 208684624 260855780 326069725 417369248 521711560 652139450 1043423120 1304278900 2086846240 2608557800 5217115600 10434231200