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1303220112131 = 72137194133787
BaseRepresentation
bin10010111101101101111…
…110001100101100000011
311121120211122120002122102
4102331231332030230003
5132322443322042011
62434405133501015
7163104003115400
oct22755576145403
94546748502572
101303220112131
11462768862093
121906a594176b
1395b7c288432
144710d0cb2a7
1523d7699773b
hex12f6df8cb03

1303220112131 has 12 divisors (see below), whose sum is σ = 1527056376408. Its totient is φ = 1108892185632.

The previous prime is 1303220112109. The next prime is 1303220112163. The reversal of 1303220112131 is 1312110223031.

It is a happy number.

It is not a de Polignac number, because 1303220112131 - 214 = 1303220095747 is a prime.

It is a super-2 number, since 2×13032201121312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303220112331) 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 11 ways as a sum of consecutive naturals, for example, 97060181 + ... + 97073606.

It is an arithmetic number, because the mean of its divisors is an integer number (127254698034).

Almost surely, 21303220112131 is an apocalyptic number.

1303220112131 is a deficient number, since it is larger than the sum of its proper divisors (223836264277).

1303220112131 is a wasteful number, since it uses less digits than its factorization.

1303220112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194133938 (or 194133931 counting only the distinct ones).

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

Adding to 1303220112131 its reverse (1312110223031), we get a palindrome (2615330335162).

The spelling of 1303220112131 in words is "one trillion, three hundred three billion, two hundred twenty million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 49 137 959 6713 194133787 1358936509 9512555563 26596328819 186174301733 1303220112131