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103210233312 = 2534321733361
BaseRepresentation
bin110000000011111001…
…1110010110111100000
3100212101220021002110210
41200013303302313200
53142333304431222
6115225241254120
710312434336204
oct1400763626740
9325356232423
10103210233312
113a85353898a
1218004a94340
13996a922094
144dd1550b04
152a40ea9d0c
hex1807cf2de0

103210233312 has 144 divisors (see below), whose sum is σ = 279060335568. Its totient is φ = 33399152640.

The previous prime is 103210233299. The next prime is 103210233319. The reversal of 103210233312 is 213332012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210233319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30706512 + ... + 30709872.

It is an arithmetic number, because the mean of its divisors is an integer number (1937918997).

Almost surely, 2103210233312 is an apocalyptic number.

103210233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103210233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139530167784).

103210233312 is an abundant number, since it is smaller than the sum of its proper divisors (175850102256).

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

103210233312 is a wasteful number, since it uses less digits than its factorization.

103210233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103210233312 its reverse (213332012301), we get a palindrome (316542245613).

The spelling of 103210233312 in words is "one hundred three billion, two hundred ten million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 173 258 344 346 516 519 688 692 1032 1038 1376 1384 1849 2064 2076 2768 3361 3698 4128 4152 5536 5547 6722 7396 7439 8304 10083 11094 13444 14792 14878 16608 20166 22188 22317 26888 29584 29756 40332 44376 44634 53776 59168 59512 80664 88752 89268 107552 119024 144523 161328 177504 178536 238048 289046 319877 322656 357072 433569 578092 581453 639754 714144 867138 959631 1156184 1162906 1279508 1734276 1744359 1919262 2312368 2325812 2559016 3468552 3488718 3838524 4624736 4651624 5118032 6214489 6937104 6977436 7677048 9303248 10236064 12428978 13874208 13954872 15354096 18606496 18643467 24857956 25002479 27909744 30708192 37286934 49715912 50004958 55819488 74573868 75007437 99431824 100009916 149147736 150014874 198863648 200019832 298295472 300029748 400039664 596590944 600059496 800079328 1075106597 1200118992 2150213194 2400237984 3225319791 4300426388 6450639582 8600852776 12901279164 17201705552 25802558328 34403411104 51605116656 103210233312