Search a number
-
+
123012322110520 = 235314716363128993
BaseRepresentation
bin11011111110000100001001…
…110000110010110000111000
3121010112212022020021101022021
4123332010021300302300320
5112110413213430014040
61113343025230004224
734624230005513563
oct3376041160626070
9533485266241267
10123012322110520
11362172619a79a7
1211968741946674
135384020a6111b
142253b846714da
15e34c75a4524a
hex6fe109c32c38

123012322110520 has 128 divisors (see below), whose sum is σ = 291804984483840. Its totient is φ = 46601321656320.

The previous prime is 123012322110497. The next prime is 123012322110529. The reversal of 123012322110520 is 25011223210321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123012322110529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953571144 + ... + 953700136.

It is an arithmetic number, because the mean of its divisors is an integer number (2279726441280).

Almost surely, 2123012322110520 is an apocalyptic number.

123012322110520 is a gapful number since it is divisible by the number (10) 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 123012322110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145902492241920).

123012322110520 is an abundant number, since it is smaller than the sum of its proper divisors (168792662373320).

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

123012322110520 is a wasteful number, since it uses less digits than its factorization.

123012322110520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145445 (or 145441 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 123012322110520 its reverse (25011223210321), we get a palindrome (148023545320841).

The spelling of 123012322110520 in words is "one hundred twenty-three trillion, twelve billion, three hundred twenty-two million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2914 5828 7285 11656 14570 16363 29140 32726 58280 65452 81815 128993 130904 163630 257986 327260 507253 515972 644965 654520 769061 1014506 1031944 1289930 1538122 2029012 2536265 2579860 3076244 3845305 3998783 4058024 5072530 5159720 6062671 6152488 7690610 7997566 10145060 12125342 15381220 15995132 19993915 20290120 23840891 24250684 30313355 30762440 31990264 39987830 47681782 48501368 60626710 79975660 95363564 119204455 121253420 159951320 187942801 190727128 238408910 242506840 375885602 476817820 751771204 939714005 953635640 1503542408 1879428010 2110712459 3758856020 4221424918 7517712040 8442849836 10553562295 16885699672 21107124590 42214249180 65432086229 84428498360 99203485573 130864172458 198406971146 261728344916 327160431145 396813942292 496017427865 523456689832 654320862290 793627884584 992034855730 1308641724580 1984069711460 2617283449160 3075308052763 3968139422920 6150616105526 12301232211052 15376540263815 24602464422104 30753080527630 61506161055260 123012322110520