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20231413202 = 27112132979401
BaseRepresentation
bin10010110101111000…
…101101110111010010
31221012221222021111002
4102311320231313102
5312413220210302
613143313222002
71314232113650
oct226570556722
957187867432
1020231413202
118642118200
123b07561902
131ba5610220
14d9cd23dd0
157d622cc02
hex4b5e2ddd2

20231413202 has 192 divisors, whose sum is σ = 43114982400. Its totient is φ = 6918912000.

The previous prime is 20231413201. The next prime is 20231413271.

20231413202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20231413201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50452202 + ... + 50452602.

It is an arithmetic number, because the mean of its divisors is an integer number (224557200).

Almost surely, 220231413202 is an apocalyptic number.

20231413202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20231413202 is an abundant number, since it is smaller than the sum of its proper divisors (22883569198).

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

20231413202 is a wasteful number, since it uses less digits than its factorization.

20231413202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 20231413202 in words is "twenty billion, two hundred thirty-one million, four hundred thirteen thousand, two hundred two".