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2021314341900 = 22352728910391487
BaseRepresentation
bin11101011010011111101…
…110010010110000001100
321011020100212112121100110
4131122133232102300030
5231104122432420100
64144325021200020
7266015024264400
oct35323756226014
97136325477313
102021314341900
1170a264283387
122878b2100010
131187bc328bb9
146db9154b100
15378a431d250
hex1d69fb92c0c

2021314341900 has 432 divisors, whose sum is σ = 6890858956800. Its totient is φ = 456076938240.

The previous prime is 2021314341899. The next prime is 2021314341929. The reversal of 2021314341900 is 91434131202.

It is a super-2 number, since 2×20213143419002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1359322957 + ... + 1359324443.

It is an arithmetic number, because the mean of its divisors is an integer number (15951062400).

Almost surely, 22021314341900 is an apocalyptic number.

2021314341900 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 2021314341900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445429478400).

2021314341900 is an abundant number, since it is smaller than the sum of its proper divisors (4869544614900).

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

2021314341900 is a wasteful number, since it uses less digits than its factorization.

2021314341900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 2021314341900 in words is "two trillion, twenty-one billion, three hundred fourteen million, three hundred forty-one thousand, nine hundred".