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12322104030 = 23251011797573
BaseRepresentation
bin10110111100111010…
…00110001011011110
31011210202012202000100
423132131012023132
5200213424312110
65354413241530
7614232104355
oct133635061336
934722182010
1012322104030
115253563155
12247a7932a6
131214b01622
1484c70699c
154c1b98bc0
hex2de7462de

12322104030 has 96 divisors (see below), whose sum is σ = 32539721760. Its totient is φ = 3234758400.

The previous prime is 12322104017. The next prime is 12322104049. The reversal of 12322104030 is 3040122321.

It is a super-2 number, since 2×123221040302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12322103994 and 12322104012.

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, 1623324 + ... + 1630896.

It is an arithmetic number, because the mean of its divisors is an integer number (338955435).

Almost surely, 212322104030 is an apocalyptic number.

12322104030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322104030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269860880).

12322104030 is an abundant number, since it is smaller than the sum of its proper divisors (20217617730).

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

12322104030 is a wasteful number, since it uses less digits than its factorization.

12322104030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12322104030 its reverse (3040122321), we get a palindrome (15362226351).

The spelling of 12322104030 in words is "twelve billion, three hundred twenty-two million, one hundred four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 179 202 303 358 505 537 606 895 909 1010 1074 1515 1611 1790 1818 2685 3030 3222 4545 5370 7573 8055 9090 15146 16110 18079 22719 36158 37865 45438 54237 68157 75730 90395 108474 113595 136314 162711 180790 227190 271185 325422 340785 542370 681570 764873 813555 1355567 1529746 1627110 2294619 2711134 3824365 4066701 4589238 6777835 6883857 7648730 8133402 11473095 12200103 13555670 13767714 20333505 22946190 24400206 34419285 40667010 61000515 68838570 122001030 136912267 273824534 410736801 684561335 821473602 1232210403 1369122670 2053684005 2464420806 4107368010 6161052015 12322104030