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10024121432 = 2313219993709
BaseRepresentation
bin10010101010111101…
…11111010001011000
3221212121011010111202
421111132333101120
5131012133341212
64334403413332
7503256424553
oct112536772130
927777133452
1010024121432
11428439a886
121b39084248
13c399b4800
146b144169a
153da0750c2
hex2557bf458

10024121432 has 48 divisors (see below), whose sum is σ = 20367900000. Its totient is φ = 4622956416.

The previous prime is 10024121369. The next prime is 10024121449. The reversal of 10024121432 is 23412142001.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2700794 + ... + 2704502.

It is an arithmetic number, because the mean of its divisors is an integer number (424331250).

Almost surely, 210024121432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183950000).

10024121432 is an abundant number, since it is smaller than the sum of its proper divisors (10343778568).

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

10024121432 is a wasteful number, since it uses less digits than its factorization.

10024121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10024121432 its reverse (23412142001), we get a palindrome (33436263433).

The spelling of 10024121432 in words is "ten billion, twenty-four million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1999 3709 3998 7418 7996 14836 15992 25987 29672 48217 51974 96434 103948 192868 207896 337831 385736 626821 675662 1253642 1351324 2507284 2702648 5014568 7414291 14828582 29657164 59314328 96385783 192771566 385543132 771086264 1253015179 2506030358 5012060716 10024121432