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21122301504 = 263491224057
BaseRepresentation
bin10011101010111111…
…001011111001000000
32000112001100002111010
4103222333023321000
5321224302122004
613411540120520
71345300412643
oct235277137100
960461302433
1021122301504
118a59a96827
124115996140
131cb8066475
14104538ba5a
15839559a89
hex4eafcbe40

21122301504 has 56 divisors (see below), whose sum is σ = 56000160288. Its totient is φ = 7026396160.

The previous prime is 21122301503. The next prime is 21122301511. The reversal of 21122301504 is 40510322112.

It is not an unprimeable number, because it can be changed into a prime (21122301503) by changing a digit.

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, 17757 + ... + 206300.

Almost surely, 221122301504 is an apocalyptic number.

21122301504 is a gapful number since it is divisible by the number (24) 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 21122301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28000080144).

21122301504 is an abundant number, since it is smaller than the sum of its proper divisors (34877858784).

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

21122301504 is a wasteful number, since it uses less digits than its factorization.

21122301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224563 (or 224553 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21122301504 its reverse (40510322112), we get a palindrome (61632623616).

The spelling of 21122301504 in words is "twenty-one billion, one hundred twenty-two million, three hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 491 982 1473 1964 2946 3928 5892 7856 11784 15712 23568 31424 47136 94272 224057 448114 672171 896228 1344342 1792456 2688684 3584912 5377368 7169824 10754736 14339648 21509472 43018944 110011987 220023974 330035961 440047948 660071922 880095896 1320143844 1760191792 2640287688 3520383584 5280575376 7040767168 10561150752 21122301504