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12131330351130 = 23256911163167729
BaseRepresentation
bin1011000010001000101110…
…1000101110000000011010
31120221202002021022012002100
42300202023220232000122
53042224431032214010
641445020051144230
72361313450410414
oct260421350560032
946852067265070
1012131330351130
1139579607a1481
12143b171ba5076
1369cc97098123
142dd233a299b4
1516086c96c2c0
hexb088ba2e01a

12131330351130 has 96 divisors (see below), whose sum is σ = 31614453524160. Its totient is φ = 3227542940160.

The previous prime is 12131330351113. The next prime is 12131330351167. The reversal of 12131330351130 is 3115303313121.

It is a happy number.

12131330351130 is a `hidden beast` number, since 1 + 2 + 1 + 313 + 303 + 5 + 11 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12131330351094 and 12131330351103.

It is an unprimeable number.

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, 72243106 + ... + 72410834.

It is an arithmetic number, because the mean of its divisors is an integer number (329317224210).

Almost surely, 212131330351130 is an apocalyptic number.

12131330351130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131330351130 is an abundant number, since it is smaller than the sum of its proper divisors (19483123173030).

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

12131330351130 is a wasteful number, since it uses less digits than its factorization.

12131330351130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169596 (or 169593 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

Adding to 12131330351130 its reverse (3115303313121), we get a palindrome (15246633664251).

The spelling of 12131330351130 in words is "twelve trillion, one hundred thirty-one billion, three hundred thirty million, three hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 691 1163 1382 2073 2326 3455 3489 4146 5815 6219 6910 6978 10365 10467 11630 12438 17445 20730 20934 31095 34890 52335 62190 104670 167729 335458 503187 803633 838645 1006374 1509561 1607266 1677290 2410899 2515935 3019122 4018165 4821798 5031870 7232697 7547805 8036330 12054495 14465394 15095610 24108990 36163485 72326970 115900739 195068827 231801478 347702217 390137654 579503695 585206481 695404434 975344135 1043106651 1159007390 1170412962 1738511085 1755619443 1950688270 2086213302 2926032405 3477022170 3511238886 5215533255 5852064810 8778097215 10431066510 17556194430 134792559457 269585118914 404377678371 673962797285 808755356742 1213133035113 1347925594570 2021888391855 2426266070226 4043776783710 6065665175565 12131330351130