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123013431213512 = 23747531675280491
BaseRepresentation
bin11011111110000101001011…
…110111101011110111001000
3121010112222011112020122120212
4123332011023313223313020
5112110423001342313022
61113343331245540252
734624266333652160
oct3376051367536710
9533488145218525
10123013431213512
1136217780a6a444
12119689b1274688
13538416977b298
142253c4ba9d5a0
15e34cdd0c83e2
hex6fe14bdebdc8

123013431213512 has 128 divisors (see below), whose sum is σ = 275930630922240. Its totient is φ = 50321633406720.

The previous prime is 123013431213487. The next prime is 123013431213581. The reversal of 123013431213512 is 215312134310321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20655587 + ... + 25936077.

It is an arithmetic number, because the mean of its divisors is an integer number (2155708054080).

Almost surely, 2123013431213512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123013431213512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137965315461120).

123013431213512 is an abundant number, since it is smaller than the sum of its proper divisors (152917199708728).

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

123013431213512 is a wasteful number, since it uses less digits than its factorization.

123013431213512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280771 (or 5280767 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 123013431213512 its reverse (215312134310321), we get a palindrome (338325565523833).

The spelling of 123013431213512 in words is "one hundred twenty-three trillion, thirteen billion, four hundred thirty-one million, two hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 47 53 56 94 106 167 188 212 329 334 371 376 424 658 668 742 1169 1316 1336 1484 2338 2491 2632 2968 4676 4982 7849 8851 9352 9964 15698 17437 17702 19928 31396 34874 35404 54943 61957 62792 69748 70808 109886 123914 139496 219772 247828 415997 439544 495656 831994 1663988 2911979 3327976 5280491 5823958 10560982 11647916 21121964 23295832 36963437 42243928 73926874 147853748 248183077 279866023 295707496 496366154 559732046 881841997 992732308 1119464092 1737281539 1763683994 1959062161 1985464616 2238928184 3474563078 3527367988 3918124322 6172893979 6949126156 7054735976 7836248644 12345787958 13153703081 13898252312 15672497288 24691575916 26307406162 41446573859 46737625841 49383151832 52614812324 82893147718 92075921567 93475251682 105229624648 165786295436 184151843134 186950503364 290126017013 327163380887 331572590872 368303686268 373901006728 580252034026 654326761774 736607372536 1160504068052 1308653523548 2196668414527 2321008136104 2617307047096 4393336829054 8786673658108 15376678901689 17573347316216 30753357803378 61506715606756 123013431213512