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300233301212131 = 72172234613505969
BaseRepresentation
bin100010001000011111000001…
…1010001001011101111100011
31110101001000121222100010102121
41010100332003101023233203
5303323010300102242011
62542313135142525111
7120145066042164100
oct10420760321135743
91411030558303377
10300233301212131
1187733256517241
122980b285136797
13cb6ab56a04031
14541d525575aa7
1524a9b5564de71
hex1110f8344bbe3

300233301212131 has 48 divisors (see below), whose sum is σ = 372259294767360. Its totient is φ = 240595791851520.

The previous prime is 300233301212093. The next prime is 300233301212177. The reversal of 300233301212131 is 131212103332003.

It is not a de Polignac number, because 300233301212131 - 211 = 300233301210083 is a prime.

It is a super-2 number, since 2×3002333012121312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300233301212096 and 300233301212105.

It is not an unprimeable number, because it can be changed into a prime (300233301212531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83881915 + ... + 87387883.

It is an arithmetic number, because the mean of its divisors is an integer number (7755401974320).

Almost surely, 2300233301212131 is an apocalyptic number.

300233301212131 is a deficient number, since it is larger than the sum of its proper divisors (72025993555229).

300233301212131 is a wasteful number, since it uses less digits than its factorization.

300233301212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506684 (or 3506677 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 300233301212131 its reverse (131212103332003), we get a palindrome (431445404544134).

The spelling of 300233301212131 in words is "three hundred trillion, two hundred thirty-three billion, three hundred one million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 17 49 119 223 461 833 1561 3227 3791 7837 10927 22589 26537 54859 102803 185759 384013 719621 1747651 3505969 5037347 12233557 24541783 59601473 85634899 171792481 417210311 781831087 1616251709 2920472177 5472817609 11313761963 13291128479 27476279053 38309723263 79196333741 93037899353 192333953371 360424131107 651265295471 1346337673597 2522968917749 6127210228819 17660782424243 42890471601733 300233301212131