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13121230313322 = 23337411487107717
BaseRepresentation
bin1011111011110000011001…
…0001011001011101101010
31201110101012002201112101000
42332330012101121131222
53204434234430011242
643523450542535430
72522656214304165
oct276740621313552
951411162645330
1013121230313322
1141a975649548a
12157ab95597576
13742432a1b721
143350dc90cadc
1517b4a7664a4c
hexbef0645976a

13121230313322 has 128 divisors (see below), whose sum is σ = 30697665223680. Its totient is φ = 4148910097920.

The previous prime is 13121230313311. The next prime is 13121230313327. The reversal of 13121230313322 is 22331303212131.

13121230313322 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 23 + 0 + 313 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13121230313327) 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, 121758208 + ... + 121865924.

It is an arithmetic number, because the mean of its divisors is an integer number (239825509560).

Almost surely, 213121230313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121230313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348832611840).

13121230313322 is an abundant number, since it is smaller than the sum of its proper divisors (17576434910358).

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

13121230313322 is a wasteful number, since it uses less digits than its factorization.

13121230313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109293 (or 109287 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13121230313322 its reverse (22331303212131), we get a palindrome (35452533525453).

The spelling of 13121230313322 in words is "thirteen trillion, one hundred twenty-one billion, two hundred thirty million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 82 111 123 222 246 333 369 666 738 999 1107 1487 1517 1998 2214 2974 3034 4461 4551 8922 9102 13383 13653 26766 27306 40149 40959 55019 60967 80298 81918 107717 110038 121934 165057 182901 215434 323151 330114 365802 495171 548703 646302 969453 990342 1097406 1485513 1646109 1938906 2255779 2908359 2971026 3292218 3985529 4416397 4511558 5816718 6767337 7971058 8832794 11956587 13249191 13534674 20302011 23913174 26498382 35869761 39747573 40604022 60906033 71739522 79495146 107609283 119242719 121812066 160175179 163406689 215218566 238485438 320350358 326813378 480525537 490220067 961051074 980440134 1441576611 1470660201 2883153222 2941320402 4324729833 4411980603 5926481623 6567182339 8649459666 8823961206 11852963246 13134364678 17779444869 19701547017 35558889738 39403094034 53338334607 59104641051 106676669214 118209282102 160015003821 177313923153 242985746543 320030007642 354627846306 485971493086 728957239629 1457914479258 2186871718887 4373743437774 6560615156661 13121230313322