Search a number
-
+
12031120301310 = 23251171171164039
BaseRepresentation
bin1010111100010011011010…
…1001101101110011111110
31120121011102110102012122200
42233010312221231303332
53034104213244120220
641331004222052330
72351135243136645
oct257046651556376
946534373365580
1012031120301310
113919407839890
121423865a1a0a6
136936b6bc2c66
142d8448b2c35c
1515ce55090890
hexaf136a6dcfe

12031120301310 has 96 divisors (see below), whose sum is σ = 34605260951040. Its totient is φ = 2875555838400.

The previous prime is 12031120301261. The next prime is 12031120301353. The reversal of 12031120301310 is 1310302113021.

12031120301310 is a `hidden beast` number, since 1 + 2 + 0 + 31 + 1 + 20 + 301 + 310 = 666.

It is a super-2 number, since 2×120311203013102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85511730 + ... + 85652309.

It is an arithmetic number, because the mean of its divisors is an integer number (360471468240).

Almost surely, 212031120301310 is an apocalyptic number.

12031120301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12031120301310 is an abundant number, since it is smaller than the sum of its proper divisors (22574140649730).

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

12031120301310 is a wasteful number, since it uses less digits than its factorization.

12031120301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171164134 (or 171164131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12031120301310 its reverse (1310302113021), we get a palindrome (13341422414331).

The spelling of 12031120301310 in words is "twelve trillion, thirty-one billion, one hundred twenty million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1562 2130 2343 3195 3905 4686 6390 7029 7810 11715 14058 23430 35145 70290 171164039 342328078 513492117 855820195 1026984234 1540476351 1711640390 1882804429 2567460585 3080952702 3765608858 5134921170 5648413287 7702381755 9414022145 11296826574 12152646769 15404763510 16945239861 18828044290 24305293538 28242066435 33890479722 36457940307 56484132870 60763233845 72915880614 84726199305 109373820921 121526467690 133679114459 169452398610 182289701535 218747641842 267358228918 364579403070 401037343377 546869104605 668395572295 802074686754 1093738209210 1203112030131 1336791144590 2005186716885 2406224060262 4010373433770 6015560150655 12031120301310