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12348321102 = 2331359443673
BaseRepresentation
bin10111000000000010…
…00110110101001110
31011212120112201002000
423200001012311032
5200242132233402
65401151213130
7615000666105
oct134001066516
934776481060
1012348321102
11526733a457
1224875171a6
13121a3807a0
14851dad03c
154c4126c1c
hex2e0046d4e

12348321102 has 128 divisors (see below), whose sum is σ = 30165004800. Its totient is φ = 3721116672.

The previous prime is 12348321077. The next prime is 12348321119. The reversal of 12348321102 is 20112384321.

12348321102 is a `hidden beast` number, since 1 + 234 + 8 + 321 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18347838 + ... + 18348510.

It is an arithmetic number, because the mean of its divisors is an integer number (235664100).

Almost surely, 212348321102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348321102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082502400).

12348321102 is an abundant number, since it is smaller than the sum of its proper divisors (17816683698).

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

12348321102 is a wasteful number, since it uses less digits than its factorization.

12348321102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12348321102 its sum of digits (27), we get a square (12348321129 = 1111232).

The spelling of 12348321102 in words is "twelve billion, three hundred forty-eight million, three hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 443 531 673 702 767 886 1062 1329 1346 1534 1593 2019 2301 2658 3186 3987 4038 4602 5759 6057 6903 7974 8749 11518 11961 12114 13806 17277 17498 18171 20709 23922 26137 26247 34554 36342 39707 41418 51831 52274 52494 78411 78741 79414 103662 119121 155493 156822 157482 235233 236223 238242 298139 310986 339781 357363 470466 472446 516191 596278 679562 705699 714726 894417 1019343 1032382 1072089 1411398 1548573 1788834 2038686 2144178 2683251 3058029 3097146 3875807 4645719 5366502 6116058 7751614 8049753 9174087 9291438 11627421 13937157 16099506 17590201 18348174 23254842 27874314 34882263 35180402 52770603 69764526 104646789 105541206 158311809 209293578 228672613 316623618 457345226 474935427 686017839 949870854 1372035678 2058053517 4116107034 6174160551 12348321102