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123313312230030 = 232513432451069613
BaseRepresentation
bin11100000010011100011110…
…001010111110101010001110
3121011121122012202021200200100
4130002130132022332222032
5112130331130412330110
61114133204212511530
734655043555356106
oct3402343612765216
9534548182250610
10123313312230030
1136322977a8968a
12119b6b4291b5a6
1353a651aa4a860
1422645790ac206
15e3c9e00d2bc0
hex70271e2bea8e

123313312230030 has 96 divisors (see below), whose sum is σ = 353306978440416. Its totient is φ = 29648138026752.

The previous prime is 123313312230019. The next prime is 123313312230049. The reversal of 123313312230030 is 30032213313321.

123313312230030 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 331 + 22 + 300 + 3 + 0 = 666.

123313312230030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 123313312229976 and 123313312230003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225484497 + ... + 1225585116.

It is an arithmetic number, because the mean of its divisors is an integer number (3680281025421).

Almost surely, 2123313312230030 is an apocalyptic number.

123313312230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123313312230030 is an abundant number, since it is smaller than the sum of its proper divisors (229993666210386).

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

123313312230030 is a wasteful number, since it uses less digits than its factorization.

123313312230030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451069682 (or 2451069679 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 123313312230030 its reverse (30032213313321), we get a palindrome (153345525543351).

The spelling of 123313312230030 in words is "one hundred twenty-three trillion, three hundred thirteen billion, three hundred twelve million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 8385 10062 16770 25155 50310 2451069613 4902139226 7353208839 12255348065 14706417678 22059626517 24510696130 31863904969 36766044195 44119253034 63727809938 73532088390 95591714907 105395993359 110298132585 159319524845 191183429814 210791986718 220596265170 286775144721 316187980077 318639049690 477958574535 526979966795 573550289442 632375960154 948563940231 955917149070 1053959933590 1370147913667 1433875723605 1580939900385 1897127880462 2740295827334 2867751447210 3161879800770 4110443741001 4742819701155 6850739568335 8220887482002 9485639402310 12331331223003 13701479136670 20552218705005 24662662446006 41104437410010 61656656115015 123313312230030