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1130131323 = 326173163173
BaseRepresentation
bin100001101011100…
…0110111101111011
32220202112121201200
41003113012331323
54303303200243
6304050345243
740001646336
oct10327067573
92822477650
101130131323
1152aa25432
1227658b223
131501a0679
14aa14361d
1569338ad3
hex435c6f7b

1130131323 has 48 divisors (see below), whose sum is σ = 1702001184. Its totient is φ = 722234880.

The previous prime is 1130131313. The next prime is 1130131361. The reversal of 1130131323 is 3231310311.

It is a happy number.

1130131323 is a `hidden beast` number, since 11 + 301 + 31 + 323 = 666.

It is not a de Polignac number, because 1130131323 - 24 = 1130131307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1130131296 and 1130131305.

It is not an unprimeable number, because it can be changed into a prime (1130131313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6532465 + ... + 6532637.

It is an arithmetic number, because the mean of its divisors is an integer number (35458358).

Almost surely, 21130131323 is an apocalyptic number.

1130131323 is a deficient number, since it is larger than the sum of its proper divisors (571869861).

1130131323 is a wasteful number, since it uses less digits than its factorization.

1130131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1130131323 is about 33617.4258830149. The cubic root of 1130131323 is about 1041.6207848491.

Adding to 1130131323 its reverse (3231310311), we get a palindrome (4361441634).

It can be divided in two parts, 11301 and 31323, that added together give a palindrome (42624).

The spelling of 1130131323 in words is "one billion, one hundred thirty million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 61 73 163 173 183 219 489 519 549 657 1467 1557 4453 9943 10553 11899 12629 13359 28199 29829 31659 35697 37887 40077 84597 89487 94977 107091 113661 253791 725839 770369 1720139 2058527 2177517 2311107 5160417 6175581 6532551 6933321 15481251 18526743 125570147 376710441 1130131323