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130311311140 = 225192314909761
BaseRepresentation
bin111100101011100101…
…0001100111100100100
3110110100121201111020001
41321113022030330210
54113334143424030
6135510355351044
712262143604003
oct1712712147444
9413317644201
10130311311140
11502a037986a
1221308bb2484
13c399532bca
146442984c3a
1535ca358cca
hex1e5728cf24

130311311140 has 48 divisors (see below), whose sum is σ = 300580801920. Its totient is φ = 47234119680.

The previous prime is 130311311087. The next prime is 130311311161. The reversal of 130311311140 is 41113113031.

It is a happy number.

It is a super-2 number, since 2×1303113111402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7446141 + ... + 7463620.

It is an arithmetic number, because the mean of its divisors is an integer number (6262100040).

Almost surely, 2130311311140 is an apocalyptic number.

130311311140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130311311140 is an abundant number, since it is smaller than the sum of its proper divisors (170269490780).

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

130311311140 is a wasteful number, since it uses less digits than its factorization.

130311311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909812 (or 14909810 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 130311311140 its reverse (41113113031), we get a palindrome (171424424171).

The spelling of 130311311140 in words is "one hundred thirty billion, three hundred eleven million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 8740 14909761 29819522 59639044 74548805 149097610 283285459 298195220 342924503 566570918 685849006 1133141836 1371698012 1416427295 1714622515 2832854590 3429245030 5665709180 6515565557 6858490060 13031131114 26062262228 32577827785 65155655570 130311311140