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12344102010 = 23252937912479
BaseRepresentation
bin10110111111100010…
…00000110001111010
31011212021121100120100
423133301000301322
5200240042231020
65400520540230
7614620064412
oct133761006172
934767540510
1012344102010
115264a185a9
122486021676
131219534296
148515d1642
154c3a91a90
hex2dfc40c7a

12344102010 has 96 divisors (see below), whose sum is σ = 33291648000. Its totient is φ = 3169611648.

The previous prime is 12344102003. The next prime is 12344102027. The reversal of 12344102010 is 1020144321.

12344102010 is a `hidden beast` number, since 1 + 23 + 441 + 0 + 201 + 0 = 666.

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

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, 982951 + ... + 995429.

It is an arithmetic number, because the mean of its divisors is an integer number (346788000).

Almost surely, 212344102010 is an apocalyptic number.

12344102010 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 12344102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645824000).

12344102010 is an abundant number, since it is smaller than the sum of its proper divisors (20947545990).

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

12344102010 is a wasteful number, since it uses less digits than its factorization.

12344102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12900 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12344102010 its reverse (1020144321), we get a palindrome (13364246331).

The spelling of 12344102010 in words is "twelve billion, three hundred forty-four million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 379 435 522 758 870 1137 1305 1895 2274 2610 3411 3790 5685 6822 10991 11370 12479 17055 21982 24958 32973 34110 37437 54955 62395 65946 74874 98919 109910 112311 124790 164865 187185 197838 224622 329730 361891 374370 494595 561555 723782 989190 1085673 1123110 1809455 2171346 3257019 3618910 4729541 5428365 6514038 9459082 10856730 14188623 16285095 23647705 28377246 32570190 42565869 47295410 70943115 85131738 137156689 141886230 212829345 274313378 411470067 425658690 685783445 822940134 1234410201 1371566890 2057350335 2468820402 4114700670 6172051005 12344102010