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1302120212031 = 323738377101891
BaseRepresentation
bin10010111100101100011…
…010011010011000111111
311121110222222220101100200
4102330230122122120333
5132313220233241111
62434104043054543
7163034516116512
oct22745432323077
94543888811320
101302120212031
11462253a05941
12190439511453
1395a35441082
1447046db6d79
1523d10131256
hex12f2c69a63f

1302120212031 has 24 divisors (see below), whose sum is σ = 1931743120944. Its totient is φ = 844588218240.

The previous prime is 1302120212023. The next prime is 1302120212033.

1302120212031 is a `hidden beast` number, since 1 + 302 + 120 + 212 + 0 + 31 = 666.

1302120212031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1302120212031 - 23 = 1302120212023 is a prime.

It is a super-2 number, since 2×13021202120312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1302120211995 and 1302120212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302120212033) 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, 12728596 + ... + 12830486.

It is an arithmetic number, because the mean of its divisors is an integer number (80489296706).

Almost surely, 21302120212031 is an apocalyptic number.

1302120212031 is a deficient number, since it is larger than the sum of its proper divisors (629622908913).

1302120212031 is a wasteful number, since it uses less digits than its factorization.

1302120212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140311 (or 140308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1302120 and 212031, that added together give a palindrome (1514151).

The spelling of 1302120212031 in words is "one trillion, three hundred two billion, one hundred twenty million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 9 37 111 333 38377 101891 115131 305673 345393 917019 1419949 3769967 4259847 11309901 12779541 33929703 3910270907 11730812721 35192438163 144680023559 434040070677 1302120212031