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1131132210131 = 721141330449
BaseRepresentation
bin10000011101011100101…
…110111100101111010011
311000010122112210220102102
4100131130232330233103
5122013024321211011
62223345052511015
7144502340101400
oct20353456745723
94003575726372
101131132210131
113a678a70a280
12163279a7b46b
13828858baca1
143ca660372a7
151e653bc473b
hex1075cbbcbd3

1131132210131 has 48 divisors (see below), whose sum is σ = 1471359103200. Its totient is φ = 859875878400.

The previous prime is 1131132210121. The next prime is 1131132210157. The reversal of 1131132210131 is 1310122311311.

It is not a de Polignac number, because 1131132210131 - 26 = 1131132210067 is a prime.

It is a super-2 number, since 2×11311322101312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131132210121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37133195 + ... + 37163643.

It is an arithmetic number, because the mean of its divisors is an integer number (30653314650).

Almost surely, 21131132210131 is an apocalyptic number.

1131132210131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131132210131 is a deficient number, since it is larger than the sum of its proper divisors (340226893069).

1131132210131 is an frugal number, since it uses more digits than its factorization.

1131132210131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30597 (or 30508 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1131132210131 its reverse (1310122311311), we get a palindrome (2441254521442).

The spelling of 1131132210131 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-two million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 11 41 49 77 287 451 539 1681 2009 3157 11767 18491 22099 30449 68921 82369 129437 213143 334939 482447 758131 906059 1248409 1492001 2344573 3377129 5306917 8738863 13732499 16412011 37148419 51184769 61172041 96127493 358293383 563032459 672892451 2098575529 2508053681 3941227213 14690028703 23084330819 27588590491 102830200921 161590315733 1131132210131