Search a number
-
+
313130021130 = 23551181109111
BaseRepresentation
bin1001000111010000000…
…00001111000100001010
31002221020120101012200000
410203220000033010022
520112242241134010
6355503331023430
731423440156333
oct4435000170412
91087216335600
10313130021130
11110885808533
125082a73ab76
13236b3125894
1411226c7528a
15822a2457c0
hex48e800f10a

313130021130 has 96 divisors (see below), whose sum is σ = 845013955968. Its totient is φ = 83429870400.

The previous prime is 313130021111. The next prime is 313130021137. The reversal of 313130021130 is 31120031313.

It is a happy number.

313130021130 is a `hidden beast` number, since 313 + 1 + 300 + 21 + 1 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (313130021137) 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 47 ways as a sum of consecutive naturals, for example, 2815275 + ... + 2924385.

It is an arithmetic number, because the mean of its divisors is an integer number (8802228708).

Almost surely, 2313130021130 is an apocalyptic number.

313130021130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313130021130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422506977984).

313130021130 is an abundant number, since it is smaller than the sum of its proper divisors (531883934838).

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

313130021130 is a wasteful number, since it uses less digits than its factorization.

313130021130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110314 (or 110302 counting only the distinct ones).

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

Adding to 313130021130 its reverse (31120031313), we get a palindrome (344250052443).

The spelling of 313130021130 in words is "three hundred thirteen billion, one hundred thirty million, twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1181 1215 2362 2430 3543 5905 7086 10629 11810 17715 21258 31887 35430 53145 63774 95661 106290 109111 159435 191322 218222 286983 318870 327333 478305 545555 573966 654666 956610 981999 1091110 1434915 1636665 1963998 2869830 2945997 3273330 4909995 5891994 8837991 9819990 14729985 17675982 26513973 29459970 44189955 53027946 88379910 128860091 132569865 257720182 265139730 386580273 644300455 773160546 1159740819 1288600910 1932901365 2319481638 3479222457 3865802730 5798704095 6958444914 10437667371 11597408190 17396112285 20875334742 31313002113 34792224570 52188336855 62626004226 104376673710 156565010565 313130021130