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21488100420 = 223529731671013
BaseRepresentation
bin10100000000110010…
…100110010001000100
32001110112122121021010
4110000302212101010
5323001423203140
613512124322220
71360331561043
oct240062462104
961415577233
1021488100420
119127521986
1241b83a3370
132045a91827
14107bbac55a
1585b714880
hex500ca6444

21488100420 has 192 divisors, whose sum is σ = 63534481920. Its totient is φ = 5418749952.

The previous prime is 21488100397. The next prime is 21488100463. The reversal of 21488100420 is 2400188412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21211834 + ... + 21212846.

It is an arithmetic number, because the mean of its divisors is an integer number (330908760).

Almost surely, 221488100420 is an apocalyptic number.

21488100420 is a gapful number since it is divisible by the number (20) 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 21488100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767240960).

21488100420 is an abundant number, since it is smaller than the sum of its proper divisors (42046381500).

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

21488100420 is a wasteful number, since it uses less digits than its factorization.

21488100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 21488100420 its reverse (2400188412), we get a palindrome (23888288832).

The spelling of 21488100420 in words is "twenty-one billion, four hundred eighty-eight million, one hundred thousand, four hundred twenty".