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10000502142 = 2319267137503
BaseRepresentation
bin10010101000001001…
…11000110101111110
3221210221201010221020
421110010320311332
5130440112032032
64332201245010
7502551602631
oct112404706576
927727633836
1010000502142
114272028304
121b31193766
13c34b34bb7
146ac253c18
153d7e5bb2c
hex254138d7e

10000502142 has 96 divisors (see below), whose sum is σ = 21623438592. Its totient is φ = 3082071168.

The previous prime is 10000502119. The next prime is 10000502179. The reversal of 10000502142 is 24120500001.

10000502142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19881463 + ... + 19881965.

It is an arithmetic number, because the mean of its divisors is an integer number (225244152).

Almost surely, 210000502142 is an apocalyptic number.

10000502142 is an abundant number, since it is smaller than the sum of its proper divisors (11622936450).

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

10000502142 is a wasteful number, since it uses less digits than its factorization.

10000502142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 10000502142 in words is "ten billion, five hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 38 57 67 114 134 137 201 274 361 402 411 503 722 822 1006 1083 1273 1509 2166 2546 2603 3018 3819 5206 7638 7809 9179 9557 15618 18358 19114 24187 27537 28671 33701 48374 49457 55074 57342 67402 68911 72561 98914 101103 137822 145122 148371 174401 181583 202206 206733 296742 348802 363166 413466 523203 544749 640319 1046406 1089498 1280638 1309309 1920957 2618618 3313619 3841914 3927927 4617037 6627238 7855854 9234074 9940857 12166061 13851111 19881714 24332122 24876871 27702222 36498183 49753742 72996366 74630613 87723703 149261226 175447406 263171109 526342218 1666750357 3333500714 5000251071 10000502142