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12300906002 = 27211171993373
BaseRepresentation
bin10110111010011000…
…01110111000010010
31011202021022202210012
423131030032320102
5200143012443002
65352335034522
7613553655500
oct133514167022
934667282705
1012300906002
1152425a4820
12247366ba42
1312105bbb08
14849989670
154bedacd52
hex2dd30ee12

12300906002 has 96 divisors (see below), whose sum is σ = 24924412800. Its totient is φ = 4486648320.

The previous prime is 12300905999. The next prime is 12300906011. The reversal of 12300906002 is 20060900321.

12300906002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3645188 + ... + 3648560.

It is an arithmetic number, because the mean of its divisors is an integer number (259629300).

Almost surely, 212300906002 is an apocalyptic number.

12300906002 is an abundant number, since it is smaller than the sum of its proper divisors (12623506798).

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

12300906002 is a wasteful number, since it uses less digits than its factorization.

12300906002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 12300906002 in words is "twelve billion, three hundred million, nine hundred six thousand, two".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 154 187 199 238 374 398 539 833 1078 1309 1393 1666 2189 2618 2786 3373 3383 4378 6746 6766 9163 9751 15323 18326 19502 23611 23681 30646 37103 37213 47222 47362 57341 74206 74426 107261 114682 165277 165767 214522 259721 260491 330554 331534 401387 519442 520982 630751 671227 802774 1261502 1342454 1818047 1823437 2809709 3636094 3646874 4415257 4698589 5619418 7383497 8830514 9397178 11410859 14766994 22821718 30906799 32890123 51684479 61813598 65780246 79876013 103368958 125519449 159752026 251038898 361791353 559132091 723582706 878636143 1118264182 1757272286 6150453001 12300906002