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10213142436 = 2232779513017
BaseRepresentation
bin10011000001100000…
…00010111110100100
3222100202211101120200
421200300002332210
5131404031024221
64405235030500
7511043164320
oct114060027644
928322741520
1010213142436
114371064092
121b9043b430
13c69bc6763
146cc5a6980
153eb961426
hex260c02fa4

10213142436 has 72 divisors (see below), whose sum is σ = 29878168320. Its totient is φ = 2881097856.

The previous prime is 10213142413. The next prime is 10213142437. The reversal of 10213142436 is 63424131201.

It is a happy number.

10213142436 is a `hidden beast` number, since 1 + 0 + 213 + 14 + 2 + 436 = 666.

It is a super-3 number, since 3×102131424363 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10213142437) 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 23 ways as a sum of consecutive naturals, for example, 236601 + ... + 276416.

It is an arithmetic number, because the mean of its divisors is an integer number (414974560).

Almost surely, 210213142436 is an apocalyptic number.

It is an amenable number.

10213142436 is an abundant number, since it is smaller than the sum of its proper divisors (19665025884).

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

10213142436 is a wasteful number, since it uses less digits than its factorization.

10213142436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513113 (or 513108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10213142436 its reverse (63424131201), we get a palindrome (73637273637).

The spelling of 10213142436 in words is "ten billion, two hundred thirteen million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 19908 513017 1026034 1539051 2052068 3078102 3591119 4617153 6156204 7182238 9234306 10773357 14364476 18468612 21546714 32320071 40528343 43093428 64640142 81056686 121585029 129280284 162113372 243170058 283698401 364755087 486340116 567396802 729510174 851095203 1134793604 1459020348 1702190406 2553285609 3404380812 5106571218 10213142436