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21112100121108 = 223291031167750441
BaseRepresentation
bin1001100110011100010110…
…01110100110101000010100
32202202022000120001010002010
410303032023032212220110
510231400040112333413
6112522433115144220
74306204344051303
oct463161316465024
982668016033063
1021112100121108
1167aa656144117
12244b7bb745070
13ba1b29baa489
1452db8c76643a
15269292c82dc3
hex13338b3a6a14

21112100121108 has 96 divisors (see below), whose sum is σ = 51460428015360. Its totient is φ = 6728021314560.

The previous prime is 21112100121017. The next prime is 21112100121109. The reversal of 21112100121108 is 80112100121112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112100121109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418525168 + ... + 418575608.

It is an arithmetic number, because the mean of its divisors is an integer number (536046125160).

Almost surely, 221112100121108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112100121108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25730214007680).

21112100121108 is an abundant number, since it is smaller than the sum of its proper divisors (30348327894252).

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

21112100121108 is a wasteful number, since it uses less digits than its factorization.

21112100121108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62257 (or 62255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

The spelling of 21112100121108 in words is "twenty-one trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 29 58 87 103 116 174 206 309 348 412 618 1236 2987 5974 8961 11677 11948 17922 23354 35031 35844 46708 50441 70062 100882 140124 151323 201764 302646 338633 605292 677266 1015899 1202731 1354532 1462789 2031798 2405462 2925578 3608193 4063596 4388367 4810924 5195423 5851156 7216386 8776734 10390846 14432772 15586269 17553468 20781692 31172538 34879199 62345076 69758398 104637597 139516796 150667267 209275194 301334534 418550388 452001801 588999557 602669068 904003602 1177999114 1766998671 1808007204 2355998228 3533997342 7067994684 17080987153 34161974306 51242961459 60666954371 68323948612 102485922918 121333908742 182000863113 204971845836 242667817484 364001726226 728003452452 1759341676759 3518683353518 5278025030277 7037366707036 10556050060554 21112100121108