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1311132003030 = 232571205184977
BaseRepresentation
bin10011000101000101100…
…011101010101011010110
311122100021001011210120200
4103011011203222223112
5132440144243044110
62442154205041330
7163504034066613
oct23050543525326
94570231153520
101311132003030
1146605891a8a3
12192133556246
139684048c195
144765dbbb50a
152418b38b6c0
hex131458eaad6

1311132003030 has 48 divisors (see below), whose sum is σ = 3456956509344. Its totient is φ = 344710759680.

The previous prime is 1311132003029. The next prime is 1311132003053. The reversal of 1311132003030 is 303002311131.

It is a happy number.

1311132003030 is a `hidden beast` number, since 1 + 31 + 11 + 320 + 0 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311132002994 and 1311132003012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102586099 + ... + 102598878.

It is an arithmetic number, because the mean of its divisors is an integer number (72019927278).

Almost surely, 21311132003030 is an apocalyptic number.

1311132003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311132003030 is an abundant number, since it is smaller than the sum of its proper divisors (2145824506314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311132003030 is a wasteful number, since it uses less digits than its factorization.

1311132003030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205185061 (or 205185058 counting only the distinct ones).

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

Adding to 1311132003030 its reverse (303002311131), we get a palindrome (1614134314161).

The spelling of 1311132003030 in words is "one trillion, three hundred eleven billion, one hundred thirty-two million, three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 205184977 410369954 615554931 1025924885 1231109862 1846664793 2051849770 3077774655 3693329586 6155549310 9233323965 14568133367 18466647930 29136266734 43704400101 72840666835 87408800202 131113200303 145681333670 218522000505 262226400606 437044001010 655566001515 1311132003030