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20213431002 = 23237260911633
BaseRepresentation
bin10010110100110100…
…000111101011011010
31221011201010200112200
4102310310013223122
5312344114243002
613141431551030
71313623220502
oct226464075332
957151120480
1020213431002
118632a55986
123b0152b476
131ba198537b
14d9a7a2a02
157d4879b1c
hex4b4d07ada

20213431002 has 48 divisors (see below), whose sum is σ = 45000544680. Its totient is φ = 6552631296.

The previous prime is 20213430997. The next prime is 20213431019. The reversal of 20213431002 is 20013431202.

20213431002 is a `hidden beast` number, since 20 + 213 + 431 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20073505761 + 139925241 = 141681^2 + 11829^2 .

It is a super-2 number, since 2×202134310022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1731778 + ... + 1743410.

Almost surely, 220213431002 is an apocalyptic number.

20213431002 is an abundant number, since it is smaller than the sum of its proper divisors (24787113678).

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

20213431002 is a wasteful number, since it uses less digits than its factorization.

20213431002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14287 (or 14284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20213431002 its reverse (20013431202), we get a palindrome (40226862204).

The spelling of 20213431002 in words is "twenty billion, two hundred thirteen million, four hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2609 5218 7827 11633 15654 23266 23481 34899 46962 69798 96533 104697 193066 209394 289599 430421 579198 860842 868797 1291263 1737594 2582526 3873789 7747578 30350497 60700994 91051491 182102982 273154473 546308946 1122968389 2245936778 3368905167 6737810334 10106715501 20213431002