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10213144002 = 232567396889
BaseRepresentation
bin10011000001100000…
…00011010111000010
3222100202211110201200
421200300003113002
5131404031102002
64405235042030
7511043202015
oct114060032702
928322743650
1010213144002
114371065286
121b90440316
13c69bc7399
146cc5a737c
153eb961b1c
hex260c035c2

10213144002 has 12 divisors (see below), whose sum is σ = 22128478710. Its totient is φ = 3404381328.

The previous prime is 10213143977. The next prime is 10213144013. The reversal of 10213144002 is 20044131201.

10213144002 is a `hidden beast` number, since 10 + 213 + 1 + 440 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5135298921 + 5077845081 = 71661^2 + 71259^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 567396889 = 10213144002 / (1 + 0 + 2 + 1 + 3 + 1 + 4 + 4 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283698427 + ... + 283698462.

Almost surely, 210213144002 is an apocalyptic number.

10213144002 is an abundant number, since it is smaller than the sum of its proper divisors (11915334708).

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

10213144002 is a wasteful number, since it uses less digits than its factorization.

10213144002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567396897 (or 567396894 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10213144002 its reverse (20044131201), we get a palindrome (30257275203).

The spelling of 10213144002 in words is "ten billion, two hundred thirteen million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 18 567396889 1134793778 1702190667 3404381334 5106572001 10213144002