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202713012 = 22325630917
BaseRepresentation
bin11000001010100…
…10011110110100
3112010102212222100
430011102132310
5403343304022
632040502100
75011014015
oct1405223664
9463385870
10202713012
11a4476317
1257a7a930
1332cc7138
141cccb00c
1512be31ac
hexc1527b4

202713012 has 18 divisors (see below), whose sum is σ = 512413538. Its totient is φ = 67570992.

The previous prime is 202713011. The next prime is 202713019. The reversal of 202713012 is 210317202.

It can be written as a sum of positive squares in only one way, i.e., 180472356 + 22240656 = 13434^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2027130122 = 82185130468224288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202713011) 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 5 ways as a sum of consecutive naturals, for example, 2815423 + ... + 2815494.

Almost surely, 2202713012 is an apocalyptic number.

It is an amenable number.

202713012 is an abundant number, since it is smaller than the sum of its proper divisors (309700526).

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

202713012 is a wasteful number, since it uses less digits than its factorization.

202713012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630927 (or 5630922 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 202713012 is about 14237.7319823067. The cubic root of 202713012 is about 587.4359786582.

The spelling of 202713012 in words is "two hundred two million, seven hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5630917 11261834 16892751 22523668 33785502 50678253 67571004 101356506 202713012