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123011131233320 = 23511887911345979
BaseRepresentation
bin11011111110000011000010…
…110001111101010000101000
3121010112202020020102112220022
4123332003002301331100220
5112110403244043431240
61113342311125220012
734624155335312441
oct3376030261752050
9533482206375808
10123011131233320
1136216800762270
121196846ab61608
135383b91112165
142253ab04382c8
15e34c0620c9b5
hex6fe0c2c7d428

123011131233320 has 128 divisors (see below), whose sum is σ = 302609497190400. Its totient is φ = 44631715564800.

The previous prime is 123011131233313. The next prime is 123011131233407. The reversal of 123011131233320 is 23332131110321.

It is a self number, because there is not a number n which added to its sum of digits gives 123011131233320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355372091 + ... + 355718069.

It is an arithmetic number, because the mean of its divisors is an integer number (2364136696800).

Almost surely, 2123011131233320 is an apocalyptic number.

123011131233320 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 123011131233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151304748595200).

123011131233320 is an abundant number, since it is smaller than the sum of its proper divisors (179598365957080).

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

123011131233320 is a wasteful number, since it uses less digits than its factorization.

123011131233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347799 (or 347795 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 123011131233320 its reverse (23332131110321), we get a palindrome (146343262343641).

The spelling of 123011131233320 in words is "one hundred twenty-three trillion, eleven billion, one hundred thirty-one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 887 911 1774 1822 3548 3644 4435 4555 7096 7288 8870 9110 9757 10021 17740 18220 19514 20042 35480 36440 39028 40084 48785 50105 78056 80168 97570 100210 195140 200420 345979 390280 400840 691958 808057 1383916 1616114 1729895 2767832 3232228 3459790 3805769 4040285 6464456 6919580 7611538 8080570 8888627 13839160 15223076 16161140 17777254 19028845 30446152 32322280 35554508 38057690 44443135 71109016 76115380 88886270 152230760 177772540 306883373 315186869 355545080 613766746 630373738 1227533492 1260747476 1534416865 1575934345 2455066984 2521494952 3068833730 3151868690 3375717103 3467055559 6137667460 6303737380 6751434206 6934111118 12275334920 12607474760 13502868412 13868222236 16878585515 17335277795 27005736824 27736444472 33757171030 34670555590 67514342060 69341111180 135028684120 138682222360 279570752803 559141505606 1118283011212 1397853764015 2236566022424 2795707528030 3075278280833 5591415056060 6150556561666 11182830112120 12301113123332 15376391404165 24602226246664 30752782808330 61505565616660 123011131233320