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1130416223301 = 32294331096641
BaseRepresentation
bin10000011100110010000…
…011101011010001000101
311000001210122120000010200
4100130302003223101011
5122010043023121201
62223150034441113
7144445524234261
oct20346203532105
94001718500120
101130416223301
113a6452540822
121630ba133199
13827a0472041
143c9d8cdb0a1
151e610de5386
hex107320eb445

1130416223301 has 12 divisors (see below), whose sum is σ = 1689127690380. Its totient is φ = 727624235520.

The previous prime is 1130416223257. The next prime is 1130416223341. The reversal of 1130416223301 is 1033226140311.

It is a happy number.

1130416223301 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 1 + 622 + 3 + 30 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499545036225 + 630871187076 = 706785^2 + 794274^2 .

It is not a de Polignac number, because 1130416223301 - 27 = 1130416223173 is a prime.

It is a super-3 number, since 3×11304162233013 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130416223341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2165548060 + ... + 2165548581.

It is an arithmetic number, because the mean of its divisors is an integer number (140760640865).

Almost surely, 21130416223301 is an apocalyptic number.

It is an amenable number.

1130416223301 is a deficient number, since it is larger than the sum of its proper divisors (558711467079).

1130416223301 is a wasteful number, since it uses less digits than its factorization.

1130416223301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331096676 (or 4331096673 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1130416223301 in words is "one trillion, one hundred thirty billion, four hundred sixteen million, two hundred twenty-three thousand, three hundred one".

Divisors: 1 3 9 29 87 261 4331096641 12993289923 38979869769 125601802589 376805407767 1130416223301