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10434301220 = 225774530723
BaseRepresentation
bin10011011011110111…
…01100110100100100
3222221011222102101202
421231323230310210
5132332140114340
64443215142032
7516400045160
oct115573546444
928834872352
1010434301220
114474988a42
122032514918
13ca397b745
1470dad5ca0
15411099c15
hex26deecd24

10434301220 has 24 divisors (see below), whose sum is σ = 25042323264. Its totient is φ = 3577474656.

The previous prime is 10434301133. The next prime is 10434301261. The reversal of 10434301220 is 2210343401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10434301192 and 10434301201.

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 7 ways as a sum of consecutive naturals, for example, 37265222 + ... + 37265501.

It is an arithmetic number, because the mean of its divisors is an integer number (1043430136).

Almost surely, 210434301220 is an apocalyptic number.

10434301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434301220 is an abundant number, since it is smaller than the sum of its proper divisors (14608022044).

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

10434301220 is a wasteful number, since it uses less digits than its factorization.

10434301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74530739 (or 74530737 counting only the distinct ones).

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

Adding to 10434301220 its reverse (2210343401), we get a palindrome (12644644621).

The spelling of 10434301220 in words is "ten billion, four hundred thirty-four million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 74530723 149061446 298122892 372653615 521715061 745307230 1043430122 1490614460 2086860244 2608575305 5217150610 10434301220