Search a number
-
+
13122102112302 = 235910311311512767
BaseRepresentation
bin1011111011110011101000…
…1111000011000000101110
31201110110102212011111202010
42332330322033003000232
53204443031120043202
643524113244342050
72523016631416161
oct276747217030056
951413385144663
1013122102112302
1141aa063605a07
12157b199544926
1374254151cc01
14335182607ad8
1517b508e7076c
hexbef3a3c302e

13122102112302 has 128 divisors (see below), whose sum is σ = 27220070891520. Its totient is φ = 4215277785600.

The previous prime is 13122102112283. The next prime is 13122102112303. The reversal of 13122102112302 is 20321120122131.

It is a super-2 number, since 2×131221021123022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122102112303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4742355723 + ... + 4742358489.

It is an arithmetic number, because the mean of its divisors is an integer number (212656803840).

Almost surely, 213122102112302 is an apocalyptic number.

13122102112302 is an abundant number, since it is smaller than the sum of its proper divisors (14097968779218).

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

13122102112302 is a wasteful number, since it uses less digits than its factorization.

13122102112302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13122102112302 its reverse (20321120122131), we get a palindrome (33443222234433).

The spelling of 13122102112302 in words is "thirteen trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 59 103 113 118 177 206 226 309 339 354 618 678 1151 2302 2767 3453 5534 6077 6667 6906 8301 11639 12154 13334 16602 18231 20001 23278 34917 36462 40002 67909 69834 118553 130063 135818 163253 203727 237106 260126 285001 312671 326506 355659 390189 407454 489759 570002 625342 686701 711318 780378 855003 938013 979518 1373402 1710006 1876026 2060103 3184817 4120206 6369634 6994627 7673717 9554451 13396489 13989254 15347434 16815059 18447589 19108902 20983881 23021151 26792978 32205113 33630118 36895178 40189467 41967762 46042302 50445177 55342767 64410226 80378934 96615339 100890354 110685534 187904203 193230678 328036151 359884321 375808406 563712609 656072302 719768642 790392851 984108453 1079652963 1127425218 1580785702 1900101667 1968216906 2159305926 2371178553 3800203334 4742357106 5700305001 11400610002 19354132909 21233174939 37068085063 38708265818 42466349878 58062398727 63699524817 74136170126 111204255189 116124797454 127399049634 222408510378 2187017018717 4374034037434 6561051056151 13122102112302