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106983246228612 = 223132397973600269
BaseRepresentation
bin11000010100110011111010…
…011000110110110010000100
3112000210111110101002201220120
4120110303322120312302010
5103010303142013303422
61015311231432501540
731351166400535065
oct3024637230666204
9460714411081816
10106983246228612
11310a73814a3066
12bbba0a084a8b0
1347906277a0080
141c5c033d4256c
15c57d2e23345c
hex614cfa636c84

106983246228612 has 96 divisors (see below), whose sum is σ = 270293294476800. Its totient is φ = 32739051459072.

The previous prime is 106983246228601. The next prime is 106983246228647. The reversal of 106983246228612 is 216822642389601.

It is a super-2 number, since 2×1069832462286122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27915214 + ... + 31515482.

It is an arithmetic number, because the mean of its divisors is an integer number (2815555150800).

Almost surely, 2106983246228612 is an apocalyptic number.

106983246228612 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 106983246228612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135146647238400).

106983246228612 is an abundant number, since it is smaller than the sum of its proper divisors (163310048248188).

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

106983246228612 is a wasteful number, since it uses less digits than its factorization.

106983246228612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601325 (or 3601323 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 106983246228612 in words is "one hundred six trillion, nine hundred eighty-three billion, two hundred forty-six million, two hundred twenty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 797 956 1434 1594 2391 2868 3107 3188 4782 6214 9321 9564 10361 12428 18642 20722 31083 37284 41444 62166 124332 190483 380966 571449 761932 1142898 2285796 2476279 3600269 4952558 7200538 7428837 9905116 10800807 14401076 14857674 21601614 29715348 43203228 46803497 93606994 140410491 187213988 280820982 561641964 860464291 1720928582 2581392873 2869414393 3441857164 5162785746 5738828786 8608243179 10325571492 11186035783 11477657572 17216486358 22372071566 33558107349 34432972716 37302387109 44744143132 67116214698 74604774218 111907161327 134232429396 149209548436 223814322654 447628645308 685790039927 1371580079854 2057370119781 2743160159708 4114740239562 8229480479124 8915270519051 17830541038102 26745811557153 35661082076204 53491623114306 106983246228612