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12100310211234 = 2371721576349649
BaseRepresentation
bin1011000000010101001010…
…1100010001101010100010
31120211210000102102210212010
42300011102230101222202
53041222413403224414
641422450014013350
72356134652516650
oct260052254215242
946753012383763
1012100310211234
113945792729223
1214351554a7256
1369a092563b6b
142db92dd0ddd0
1515eb544d4959
hexb0152b11aa2

12100310211234 has 96 divisors (see below), whose sum is σ = 29567627798400. Its totient is φ = 3233139167232.

The previous prime is 12100310211169. The next prime is 12100310211259. The reversal of 12100310211234 is 43211201300121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12100310211234.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269159 + ... + 5080490.

It is an arithmetic number, because the mean of its divisors is an integer number (307996122900).

Almost surely, 212100310211234 is an apocalyptic number.

12100310211234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12100310211234 is an abundant number, since it is smaller than the sum of its proper divisors (17467317587166).

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

12100310211234 is a wasteful number, since it uses less digits than its factorization.

12100310211234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349852 (or 6349835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12100310211234 its reverse (43211201300121), we get a palindrome (55311511511355).

The spelling of 12100310211234 in words is "twelve trillion, one hundred billion, three hundred ten million, two hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 157 238 289 314 357 471 578 714 867 942 1099 1734 2023 2198 2669 3297 4046 5338 6069 6594 8007 12138 16014 18683 37366 45373 56049 90746 112098 136119 272238 317611 635222 952833 1905666 6349649 12699298 19048947 38097894 44447543 88895086 107944033 133342629 215888066 266685258 323832099 647664198 755608231 996894893 1511216462 1835048561 1993789786 2266824693 2990684679 3670097122 4533649386 5505145683 5981369358 6978264251 11010291366 12845339927 13956528502 16947213181 20934792753 25690679854 33894426362 38536019781 41869585506 50841639543 77072039562 101683279086 118630492267 237260984534 288102624077 355891476801 576205248154 711782953602 864307872231 1728615744462 2016718368539 4033436737078 6050155105617 12100310211234