Search a number
-
+
123231331321300 = 2252101197211129339
BaseRepresentation
bin11100000001010000000111…
…101110101000010111010100
3121011022210121100202000202101
4130001100013232220113110
5112123010231304240200
61114031405253251444
734646112161215306
oct3401200756502724
9534283540660671
10123231331321300
11362a1128995554
12119a3083633b84
13539b8843c42c7
1422605dd207976
15e3a7e2c7326a
hex701407ba85d4

123231331321300 has 144 divisors (see below), whose sum is σ = 271568328514560. Its totient is φ = 48532093120000.

The previous prime is 123231331321283. The next prime is 123231331321303. The reversal of 123231331321300 is 3123133132321.

It is a happy number.

It is a super-2 number, since 2×1232313313213002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123231331321303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4200242031 + ... + 4200271369.

It is an arithmetic number, because the mean of its divisors is an integer number (1885891170240).

Almost surely, 2123231331321300 is an apocalyptic number.

123231331321300 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 123231331321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135784164257280).

123231331321300 is an abundant number, since it is smaller than the sum of its proper divisors (148336997193260).

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

123231331321300 is a wasteful number, since it uses less digits than its factorization.

123231331321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31762 (or 31755 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 123231331321300 its reverse (3123133132321), we get a palindrome (126354464453621).

The spelling of 123231331321300 in words is "one hundred twenty-three trillion, two hundred thirty-one billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 197 202 394 404 505 788 985 1010 1970 2020 2111 2525 3940 4222 4925 5050 8444 9850 10100 10555 19700 19897 21110 29339 39794 42220 52775 58678 79588 99485 105550 117356 146695 198970 211100 213211 293390 397940 415867 426422 497425 586780 733475 831734 852844 994850 1066055 1466950 1663468 1989700 2079335 2132110 2933900 2963239 4158670 4264220 5330275 5779783 5926478 8317340 10396675 10660550 11559566 11852956 14816195 20793350 21321100 23119132 28898915 29632390 41586700 42002567 57797830 59264780 61934629 74080975 84005134 115595660 123869258 144494575 148161950 168010268 210012835 247738516 288989150 296323900 309673145 420025670 577978300 583758083 619346290 840051340 1050064175 1167516166 1238692580 1548365725 2100128350 2335032332 2918790415 3096731450 4200256700 5837580830 6193462900 6255397529 11675161660 12201121913 12510795058 14593952075 24402243826 25021590116 29187904150 31276987645 48804487652 58375808300 61005609565 62553975290 122011219130 125107950580 156384938225 244022438260 305028047825 312769876450 610056095650 625539752900 1220112191300 1232313313213 2464626626426 4929253252852 6161566566065 12323133132130 24646266264260 30807832830325 61615665660650 123231331321300