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21145103980 = 225711136131723
BaseRepresentation
bin10011101100010110…
…001010111001101100
32000120122020120121021
4103230112022321230
5321301121311410
613414112543524
71345665263320
oct235426127154
960518216537
1021145103980
118a70950650
124121551ba4
131cbc9bb360
141048405980
1583b560eda
hex4ec58ae6c

21145103980 has 192 divisors, whose sum is σ = 59752240128. Its totient is φ = 6070256640.

The previous prime is 21145103977. The next prime is 21145104017. The reversal of 21145103980 is 8930154112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12271399 + ... + 12273121.

It is an arithmetic number, because the mean of its divisors is an integer number (311209584).

Almost surely, 221145103980 is an apocalyptic number.

21145103980 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 21145103980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29876120064).

21145103980 is an abundant number, since it is smaller than the sum of its proper divisors (38607136148).

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

21145103980 is a wasteful number, since it uses less digits than its factorization.

21145103980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 21145103980 in words is "twenty-one billion, one hundred forty-five million, one hundred three thousand, nine hundred eighty".