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213210022431 = 3729350098559
BaseRepresentation
bin1100011010010001001…
…1101100001000011111
3202101022222021100120110
43012210103230020133
511443123231204211
6241540342421103
721255354200640
oct3064423541037
9671288240513
10213210022431
118247055460a
12353a3731793
131714b076cb3
14a4686bb6c7
15582d05eea6
hex31a44ec21f

213210022431 has 16 divisors (see below), whose sum is σ = 336094617600. Its totient is φ = 117633115488.

The previous prime is 213210022411. The next prime is 213210022469. The reversal of 213210022431 is 134220012312.

It is not a de Polignac number, because 213210022431 - 213 = 213210014239 is a prime.

It is a super-2 number, since 2×2132100224312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 213210022398 and 213210022407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213210022411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175048671 + ... + 175049888.

It is an arithmetic number, because the mean of its divisors is an integer number (21005913600).

Almost surely, 2213210022431 is an apocalyptic number.

213210022431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213210022431 is a deficient number, since it is larger than the sum of its proper divisors (122884595169).

213210022431 is a wasteful number, since it uses less digits than its factorization.

213210022431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350098598.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213210022431 its reverse (134220012312), we get a palindrome (347430034743).

The spelling of 213210022431 in words is "two hundred thirteen billion, two hundred ten million, twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 609 350098559 1050295677 2450689913 7352069739 10152858211 30458574633 71070007477 213210022431