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130311201123 = 32311799912633
BaseRepresentation
bin111100101011100100…
…1110010000101100011
3110110100121111220022100
41321113021302011203
54113334131413443
6135510353141443
712262142635155
oct1712711620543
9413317456270
10130311201123
11502a0304144
1221308b5a883
13c3994c4acc
146442956ad5
1535ca3363d3
hex1e57272163

130311201123 has 48 divisors (see below), whose sum is σ = 195656048640. Its totient is φ = 83485987200.

The previous prime is 130311201113. The next prime is 130311201157. The reversal of 130311201123 is 321102113031.

130311201123 is a `hidden beast` number, since 1 + 30 + 311 + 201 + 123 = 666.

It is not a de Polignac number, because 130311201123 - 28 = 130311200867 is a prime.

It is a super-2 number, since 2×1303112011232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130311201096 and 130311201105.

It is not an unprimeable number, because it can be changed into a prime (130311201113) 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, 49490215 + ... + 49492847.

It is an arithmetic number, because the mean of its divisors is an integer number (4076167680).

Almost surely, 2130311201123 is an apocalyptic number.

130311201123 is a deficient number, since it is larger than the sum of its proper divisors (65344847517).

130311201123 is a wasteful number, since it uses less digits than its factorization.

130311201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130311201123 its reverse (321102113031), we get a palindrome (451413314154).

The spelling of 130311201123 in words is "one hundred thirty billion, three hundred eleven million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 3 9 31 93 179 279 537 991 1611 2633 2973 5549 7899 8919 16647 23697 30721 49941 81623 92163 177389 244869 276489 471307 532167 734607 1413921 1596501 2609303 4241763 5499059 7827909 14610517 16497177 23483727 43831551 49491531 80888393 131494653 242665179 467065237 727995537 1401195711 4203587133 14479022347 43437067041 130311201123