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1130144410311 = 3727688057213
BaseRepresentation
bin10000011100100001110…
…110110010101011000111
311000001002201002110210220
4100130201312302223013
5122004013432112221
62223103044515423
7144436013662500
oct20344166625307
94001081073726
101130144410311
113a6323069694
121630430abb73
1382759062c57
143c9b0b83ba7
151e5e71030c6
hex10721db2ac7

1130144410311 has 12 divisors (see below), whose sum is σ = 1752877044792. Its totient is φ = 645796805808.

The previous prime is 1130144410309. The next prime is 1130144410319.

1130144410311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1130144410311 - 21 = 1130144410309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130144410319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3844028460 + ... + 3844028753.

It is an arithmetic number, because the mean of its divisors is an integer number (146073087066).

Almost surely, 21130144410311 is an apocalyptic number.

1130144410311 is a deficient number, since it is larger than the sum of its proper divisors (622732634481).

1130144410311 is an equidigital number, since it uses as much as digits as its factorization.

1130144410311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688057230 (or 7688057223 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 1130144410311 in words is "one trillion, one hundred thirty billion, one hundred forty-four million, four hundred ten thousand, three hundred eleven".

Divisors: 1 3 7 21 49 147 7688057213 23064171639 53816400491 161449201473 376714803437 1130144410311