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31212130100301 = 3241677124941977
BaseRepresentation
bin1110001100011001000111…
…11011010110010001001101
311002111211222000022210212200
413012030203323112101031
513042334420301202201
6150214353221552113
76401000452265163
oct706144373262115
9132454860283780
1031212130100301
119a43a9881a027
123601153275639
1314553a2b10aa7
1479c9648bb233
15391d74883386
hex1c6323ed644d

31212130100301 has 24 divisors (see below), whose sum is σ = 46252020951864. Its totient is φ = 20270586186240.

The previous prime is 31212130100297. The next prime is 31212130100321. The reversal of 31212130100301 is 10300103121213.

31212130100301 is a `hidden beast` number, since 31 + 21 + 213 + 0 + 100 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 561789224676 + 30650340875625 = 749526^2 + 5536275^2 .

It is not a de Polignac number, because 31212130100301 - 22 = 31212130100297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31212130100321) 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 23 ways as a sum of consecutive naturals, for example, 62221176 + ... + 62720801.

It is an arithmetic number, because the mean of its divisors is an integer number (1927167539661).

Almost surely, 231212130100301 is an apocalyptic number.

It is an amenable number.

31212130100301 is a deficient number, since it is larger than the sum of its proper divisors (15039890851563).

31212130100301 is a wasteful number, since it uses less digits than its factorization.

31212130100301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124942701 (or 124942698 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31212130100301 its reverse (10300103121213), we get a palindrome (41512233221514).

The spelling of 31212130100301 in words is "thirty-one trillion, two hundred twelve billion, one hundred thirty million, one hundred thousand, three hundred one".

Divisors: 1 3 9 41 123 369 677 2031 6093 27757 83271 249813 124941977 374825931 1124477793 5122621057 15367863171 46103589513 84585718429 253757155287 761271465861 3468014455589 10404043366767 31212130100301