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12300202605042 = 2331185324275981
BaseRepresentation
bin1011001011111101110100…
…1101001111100111110010
31121112212222021020112102000
42302333131031033213302
53103011303331330132
642054345101434430
72406442326032202
oct262773515174762
947485867215360
1012300202605042
113a12539783290
121467a40b6ba16
136b2b9a4a8421
143074939c0402
15164e532a087c
hexb2fdd34f9f2

12300202605042 has 64 divisors (see below), whose sum is σ = 29853631624320. Its totient is φ = 3722964292800.

The previous prime is 12300202605037. The next prime is 12300202605043. The reversal of 12300202605042 is 24050620200321.

It is a happy number.

12300202605042 is a `hidden beast` number, since 1 + 2 + 30 + 0 + 20 + 2 + 605 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12300202604997 and 12300202605015.

It is not an unprimeable number, because it can be changed into a prime (12300202605043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11631309 + ... + 12644672.

It is an arithmetic number, because the mean of its divisors is an integer number (466462994130).

Almost surely, 212300202605042 is an apocalyptic number.

12300202605042 is an abundant number, since it is smaller than the sum of its proper divisors (17553429019278).

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

12300202605042 is a wasteful number, since it uses less digits than its factorization.

12300202605042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24276856 (or 24276850 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12300202605042 its reverse (24050620200321), we get a palindrome (36350822805363).

The spelling of 12300202605042 in words is "twelve trillion, three hundred billion, two hundred two million, six hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 853 1706 2559 5118 7677 9383 15354 18766 23031 28149 46062 56298 84447 168894 253341 506682 24275981 48551962 72827943 145655886 218483829 267035791 436967658 534071582 655451487 801107373 1310902974 1602214746 2403322119 4806644238 7209966357 14419932714 20707411793 41414823586 62122235379 124244470758 186366706137 227781529723 372733412274 455563059446 559100118411 683344589169 1118200236822 1366689178338 2050033767507 4100067535014 6150101302521 12300202605042