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3100431412001 = 721117973488291
BaseRepresentation
bin101101000111100000000…
…111001110101100100001
3101222101202101200121201002
4231013200013032230201
5401244140420141001
610332152445121345
7436666403113400
oct55074007165441
911871671617632
103100431412001
11a95981782020
12420a74259255
131964a582b801
14aa0c1377637
15559b179946b
hex2d1e01ceb21

3100431412001 has 48 divisors (see below), whose sum is σ = 4208889408192. Its totient is φ = 2250365644800.

The previous prime is 3100431411977. The next prime is 3100431412021. The reversal of 3100431412001 is 1002141340013.

3100431412001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3100431412001 - 26 = 3100431411937 is a prime.

It is a super-2 number, since 2×31004314120012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3100431412021) 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 47 ways as a sum of consecutive naturals, for example, 855335 + ... + 2632956.

It is an arithmetic number, because the mean of its divisors is an integer number (87685196004).

Almost surely, 23100431412001 is an apocalyptic number.

It is an amenable number.

3100431412001 is a deficient number, since it is larger than the sum of its proper divisors (1108457996191).

3100431412001 is a wasteful number, since it uses less digits than its factorization.

3100431412001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488430 (or 3488423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3100431412001 its reverse (1002141340013), we get a palindrome (4102572752014).

The spelling of 3100431412001 in words is "three trillion, one hundred billion, four hundred thirty-one million, four hundred twelve thousand, one".

Divisors: 1 7 11 17 49 77 97 119 187 539 679 833 1067 1309 1649 4753 7469 9163 11543 18139 52283 80801 126973 888811 3488291 24418037 38371201 59300947 170926259 268598407 338364227 415106629 652310417 1880188849 2368549589 2905746403 3722006497 4566172919 5752191859 16579847123 26054045479 31963210433 40265343013 63274110449 182378318353 281857401091 442918773143 3100431412001