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21142024112 = 2411285912713
BaseRepresentation
bin10011101100001010…
…011010111110110000
32000120102110002211002
4103230022122332300
5321244324232422
613413522541132
71345630145156
oct235412327660
960512402732
1021142024112
118a6a137700
1241205077a8
131cbc180551
141047c433d6
1583b153692
hex4ec29afb0

21142024112 has 60 divisors (see below), whose sum is σ = 45081046920. Its totient is φ = 9598068480.

The previous prime is 21142024093. The next prime is 21142024151.

21142024112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656668 + ... + 1669380.

It is an arithmetic number, because the mean of its divisors is an integer number (751350782).

Almost surely, 221142024112 is an apocalyptic number.

21142024112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540523460).

21142024112 is an abundant number, since it is smaller than the sum of its proper divisors (23939022808).

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

21142024112 is a wasteful number, since it uses less digits than its factorization.

21142024112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13602 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 211420 and 24112, that added together give a palindrome (235532).

The spelling of 21142024112 in words is "twenty-one billion, one hundred forty-two million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 859 968 1718 1936 3436 6872 9449 12713 13744 18898 25426 37796 50852 75592 101704 103939 139843 151184 203408 207878 279686 415756 559372 831512 1118744 1538273 1663024 2237488 3076546 6153092 10920467 12306184 21840934 24612368 43681868 87363736 120125137 174727472 240250274 480500548 961001096 1321376507 1922002192 2642753014 5285506028 10571012056 21142024112