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1130111331 = 34171151857
BaseRepresentation
bin100001101011100…
…0010000101100011
32220202111121022020
41003113002011203
54303302030311
6304050112523
740001534136
oct10327020543
92822447266
101130111331
1152aa11408
1227657b743
1315019453b
14aa13a21d
1569332c06
hex435c2163

1130111331 has 32 divisors (see below), whose sum is σ = 1577511936. Its totient is φ = 719040000.

The previous prime is 1130111303. The next prime is 1130111347. The reversal of 1130111331 is 1331110311.

It is not a de Polignac number, because 1130111331 - 210 = 1130110307 is a prime.

It is a super-2 number, since 2×11301113312 = 2554303240909183122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1130111331.

It is not an unprimeable number, because it can be changed into a prime (1130111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318255 + ... + 1319111.

It is an arithmetic number, because the mean of its divisors is an integer number (49297248).

Almost surely, 21130111331 is an apocalyptic number.

1130111331 is a deficient number, since it is larger than the sum of its proper divisors (447400605).

1130111331 is a wasteful number, since it uses less digits than its factorization.

1130111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1130111331 is about 33617.1285359116. The cubic root of 1130111331 is about 1041.6146427295.

Adding to 1130111331 its reverse (1331110311), we get a palindrome (2461221642).

The spelling of 1130111331 in words is "one billion, one hundred thirty million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 41 71 123 151 213 453 857 2571 2911 6191 8733 10721 18573 32163 35137 60847 105411 129407 182541 388221 439561 1318683 2494727 5305687 7484181 9187897 15917061 27563691 376703777 1130111331