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301123212131 = 72911333139659
BaseRepresentation
bin1000110000111000101…
…01111001001101100011
31001210020210110010010102
410120130111321031203
514413200020242011
6350200055253015
730520054033310
oct4303425711543
91053223403112
10301123212131
11106784226195
124a43967a16b
132251b748a81
14108083a3d07
157c760cc73b
hex461c579363

301123212131 has 32 divisors (see below), whose sum is σ = 360252403200. Its totient is φ = 246247626240.

The previous prime is 301123212127. The next prime is 301123212139. The reversal of 301123212131 is 131212321103.

It is a happy number.

It is not a de Polignac number, because 301123212131 - 22 = 301123212127 is a prime.

It is a super-2 number, since 2×3011232121312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (301123212139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7572980 + ... + 7612638.

It is an arithmetic number, because the mean of its divisors is an integer number (11257887600).

Almost surely, 2301123212131 is an apocalyptic number.

301123212131 is a deficient number, since it is larger than the sum of its proper divisors (59129191069).

301123212131 is a wasteful number, since it uses less digits than its factorization.

301123212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40139.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 301123212131 its reverse (131212321103), we get a palindrome (432335533234).

The spelling of 301123212131 in words is "three hundred one billion, one hundred twenty-three million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 29 113 203 331 791 2317 3277 9599 22939 37403 39659 67193 261821 277613 1084687 1150111 4481467 7592809 8050777 13127129 31370269 91889903 129962543 380686741 909737801 1483365577 2664807187 10383559039 43017601733 301123212131