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38400213121 = 108735326783
BaseRepresentation
bin100011110000110101…
…001100000010000001
310200010011202221110121
4203300311030002001
51112120423304441
625350225500241
72526410266054
oct436065140201
9120104687417
1038400213121
1115315a12526
1275381a1681
13380c7c27ca
141c03d30a9b
15eeb32add1
hex8f0d4c081

38400213121 has 4 divisors (see below), whose sum is σ = 38435540992. Its totient is φ = 38364885252.

The previous prime is 38400213101. The next prime is 38400213157. The reversal of 38400213121 is 12131200483.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 38400213121 - 231 = 36252729473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38400213101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17662305 + ... + 17664478.

It is an arithmetic number, because the mean of its divisors is an integer number (9608885248).

Almost surely, 238400213121 is an apocalyptic number.

It is an amenable number.

38400213121 is a deficient number, since it is larger than the sum of its proper divisors (35327871).

38400213121 is a wasteful number, since it uses less digits than its factorization.

38400213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35327870.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 38400213121 in words is "thirty-eight billion, four hundred million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 1087 35326783 38400213121