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131020110 = 232513113991
BaseRepresentation
bin1111100111100…
…11010101001110
3100010112111210200
413303303111032
5232020120420
621000114330
73150436554
oct763632516
9303474720
10131020110
1167a59391
1237a659a6
13211b4bc0
1413587bd4
15b780b90
hex7cf354e

131020110 has 96 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 31933440.

The previous prime is 131020103. The next prime is 131020117. The reversal of 131020110 is 11020131.

Adding to 131020110 its reverse (11020131), we get a palindrome (142040241).

It is an interprime number because it is at equal distance from previous prime (131020103) and next prime (131020117).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131020092 and 131020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131715 + ... + 132705.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2131020110 is an apocalyptic number.

131020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

131020110 is an abundant number, since it is smaller than the sum of its proper divisors (239456178).

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

131020110 is a wasteful number, since it uses less digits than its factorization.

131020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131020110 is about 11446.4016179758. The cubic root of 131020110 is about 507.9012947086.

The spelling of 131020110 in words is "one hundred thirty-one million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 113 117 130 195 226 234 339 390 565 585 678 991 1017 1130 1170 1469 1695 1982 2034 2938 2973 3390 4407 4955 5085 5946 7345 8814 8919 9910 10170 12883 13221 14690 14865 17838 22035 25766 26442 29730 38649 44070 44595 64415 66105 77298 89190 111983 115947 128830 132210 193245 223966 231894 335949 386490 559915 579735 671898 1007847 1119830 1159470 1455779 1679745 2015694 2911558 3359490 4367337 5039235 7278895 8734674 10078470 13102011 14557790 21836685 26204022 43673370 65510055 131020110