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2105236122 = 23111013131009
BaseRepresentation
bin111110101111011…
…0101101010011010
312102201101002001020
41331132311222122
513302420023442
6544522303310
7103112132433
oct17536655232
95381332036
102105236122
11990395070
124a9057b36
13277202262
1415d85048a
15c4c4d9ec
hex7d7b5a9a

2105236122 has 64 divisors (see below), whose sum is σ = 4658152320. Its totient is φ = 628992000.

The previous prime is 2105236093. The next prime is 2105236141. The reversal of 2105236122 is 2216325012.

It is a junction number, because it is equal to n+sod(n) for n = 2105236092 and 2105236101.

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, 2085954 + ... + 2086962.

It is an arithmetic number, because the mean of its divisors is an integer number (72783630).

Almost surely, 22105236122 is an apocalyptic number.

2105236122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105236122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329076160).

2105236122 is an abundant number, since it is smaller than the sum of its proper divisors (2552916198).

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

2105236122 is a wasteful number, since it uses less digits than its factorization.

2105236122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2105236122 is about 45882.8521563340. The cubic root of 2105236122 is about 1281.6426099863.

The spelling of 2105236122 in words is "two billion, one hundred five million, two hundred thirty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 313 606 626 939 1009 1111 1878 2018 2222 3027 3333 3443 6054 6666 6886 10329 11099 20658 22198 31613 33297 63226 66594 94839 101909 189678 203818 305727 315817 347743 611454 631634 695486 947451 1043229 1120999 1894902 2086458 2241998 3362997 3473987 6725994 6947974 10421961 20843922 31897517 63795034 95692551 191385102 350872687 701745374 1052618061 2105236122