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12331103130 = 23251015872311
BaseRepresentation
bin10110111101111110…
…11011001110011010
31011211101010221110100
423132333123032122
5200223230300010
65355334200230
7614401434663
oct133677331632
934741127410
1012331103130
11525864a325
1224817b3076
131216932738
1484d9aa36a
154c28752c0
hex2defdb39a

12331103130 has 96 divisors (see below), whose sum is σ = 32447495808. Its totient is φ = 3248784000.

The previous prime is 12331103129. The next prime is 12331103131. The reversal of 12331103130 is 3130113321.

It is a happy number.

12331103130 is a `hidden beast` number, since 12 + 331 + 10 + 313 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12331103129) and next prime (12331103131).

It is a super-2 number, since 2×123311031302 (a number of 21 digits) contains 22 as substring.

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 (12331103131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334675 + ... + 5336985.

It is an arithmetic number, because the mean of its divisors is an integer number (337994748).

Almost surely, 212331103130 is an apocalyptic number.

12331103130 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 12331103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223747904).

12331103130 is an abundant number, since it is smaller than the sum of its proper divisors (20116392678).

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

12331103130 is a wasteful number, since it uses less digits than its factorization.

12331103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3009 counting only the distinct ones).

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

Adding to 12331103130 its reverse (3130113321), we get a palindrome (15461216451).

The spelling of 12331103130 in words is "twelve billion, three hundred thirty-one million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 587 606 909 1010 1174 1515 1761 1818 2311 2935 3030 3522 4545 4622 5283 5870 6933 8805 9090 10566 11555 13866 17610 20799 23110 26415 34665 41598 52830 59287 69330 103995 118574 177861 207990 233411 296435 355722 466822 533583 592870 700233 889305 1067166 1167055 1356557 1400466 1778610 2100699 2334110 2667915 2713114 3501165 4069671 4201398 5335830 6782785 7002330 8139342 10503495 12209013 13565570 20348355 21006990 24418026 40696710 61045065 122090130 137012257 274024514 411036771 685061285 822073542 1233110313 1370122570 2055183855 2466220626 4110367710 6165551565 12331103130