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23322112430120 = 2357891735409707
BaseRepresentation
bin1010100110110000110100…
…01110100001000000101000
310001120120110010002122110022
411103120122032201000220
511024102141240230440
6121334010332540012
74624652454532550
oct523303216410050
9101516403078408
1023322112430120
117481941508049
122747b94321608
13100235bb6a9ca
145a8b20d42160
152a69dd1c4cb5
hex15361a3a1028

23322112430120 has 128 divisors (see below), whose sum is σ = 60995539641600. Its totient is φ = 7860605761536.

The previous prime is 23322112430119. The next prime is 23322112430161. The reversal of 23322112430120 is 2103421122332.

It is a self number, because there is not a number n which added to its sum of digits gives 23322112430120.

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 31 ways as a sum of consecutive naturals, for example, 1606307 + ... + 7016013.

It is an arithmetic number, because the mean of its divisors is an integer number (476527653450).

Almost surely, 223322112430120 is an apocalyptic number.

23322112430120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23322112430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30497769820800).

23322112430120 is an abundant number, since it is smaller than the sum of its proper divisors (37673427211480).

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

23322112430120 is a wasteful number, since it uses less digits than its factorization.

23322112430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409987 (or 5409983 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 23322112430120 its reverse (2103421122332), we get a palindrome (25425533552452).

The spelling of 23322112430120 in words is "twenty-three trillion, three hundred twenty-two billion, one hundred twelve million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 173 178 280 346 356 445 623 692 712 865 890 1211 1246 1384 1730 1780 2422 2492 3115 3460 3560 4844 4984 6055 6230 6920 9688 12110 12460 15397 24220 24920 30794 48440 61588 76985 107779 123176 153970 215558 307940 431116 538895 615880 862232 1077790 2155580 4311160 5409707 10819414 21638828 27048535 37867949 43277656 54097070 75735898 108194140 151471796 189339745 216388280 302943592 378679490 481463923 757358980 935879311 962927846 1514717960 1871758622 1925855692 2407319615 3370247461 3743517244 3851711384 4679396555 4814639230 6551155177 6740494922 7487034488 9358793110 9629278460 13102310354 13480989844 16851237305 18717586220 19258556920 26204620708 26961979688 32755775885 33702474610 37435172440 52409241416 65511551770 67404949220 83293258679 131023103540 134809898440 166586517358 262046207080 333173034716 416466293395 583052810753 666346069432 832932586790 1166105621506 1665865173580 2332211243012 2915264053765 3331730347160 4664422486024 5830528107530 11661056215060 23322112430120