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10234412420 = 22517222113553
BaseRepresentation
bin10011000100000010…
…01011110110000100
3222102020212000111212
421202001023312010
5131430002144140
64411314550552
7511422033041
oct114201136604
928366760455
1010234412420
114382071591
121b97598458
13c71432c4b
146d13421c8
153ed763765
hex26204bd84

10234412420 has 48 divisors (see below), whose sum is σ = 22768442928. Its totient is φ = 3850936320.

The previous prime is 10234412407. The next prime is 10234412449. The reversal of 10234412420 is 2421443201.

It can be written as a sum of positive squares in 8 ways, for example, as 998433604 + 9235978816 = 31598^2 + 96104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748364 + ... + 761916.

It is an arithmetic number, because the mean of its divisors is an integer number (474342561).

Almost surely, 210234412420 is an apocalyptic number.

10234412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234412420 is an abundant number, since it is smaller than the sum of its proper divisors (12534030508).

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

10234412420 is a wasteful number, since it uses less digits than its factorization.

10234412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800 (or 15798 counting only the distinct ones).

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

Adding to 10234412420 its reverse (2421443201), we get a palindrome (12655855621).

The spelling of 10234412420 in words is "ten billion, two hundred thirty-four million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2221 4442 8884 11105 13553 22210 27106 37757 44420 54212 67765 75514 135530 151028 188785 230401 271060 377570 460802 755140 921604 1152005 2304010 4608020 30101213 60202426 120404852 150506065 301012130 511720621 602024260 1023441242 2046882484 2558603105 5117206210 10234412420