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110002221992 = 231323229409491
BaseRepresentation
bin110011001110010100…
…1001011001110101000
3101111221020120212101002
41212130221023032220
53300241032100432
6122311225214132
710642646313365
oct1463451131650
9344836525332
10110002221992
1142719428573
121939b631348
13a4b0ac73b0
14547760146c
152cdc3d5e62
hex199ca4b3a8

110002221992 has 128 divisors (see below), whose sum is σ = 233833824000. Its totient is φ = 48134338560.

The previous prime is 110002221991. The next prime is 110002222039. The reversal of 110002221992 is 299122200011.

It is not an unprimeable number, because it can be changed into a prime (110002221991) 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, 224036867 + ... + 224037357.

It is an arithmetic number, because the mean of its divisors is an integer number (1826826750).

Almost surely, 2110002221992 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 110002221992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116916912000).

110002221992 is an abundant number, since it is smaller than the sum of its proper divisors (123831602008).

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

110002221992 is a wasteful number, since it uses less digits than its factorization.

110002221992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 110002221992 in words is "one hundred ten billion, two million, two hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 229 299 409 458 491 598 818 916 982 1196 1636 1832 1964 2392 2977 3272 3928 5267 5317 5954 6383 9407 10534 10634 11293 11908 12766 18814 21068 21268 22586 23816 25532 37628 42136 42536 45172 51064 68471 75256 90344 93661 112439 122291 136942 146809 187322 200819 224878 244582 273884 293618 374644 401638 449756 489164 547768 587236 749288 803276 899512 978328 1174472 1217593 1461707 1606552 2154203 2435186 2586097 2610647 2923414 4308406 4618837 4870372 5172194 5221294 5846828 8616812 9237674 9740744 10344388 10442588 11693656 17233624 18475348 20688776 20885176 28004639 33619261 36950696 45987551 56009278 60044881 67238522 91975102 112018556 120089762 134477044 183950204 224037112 240179524 268954088 367900408 480359048 597838163 1057713673 1195676326 2115427346 2391352652 4230854692 4782705304 8461709384 13750277749 27500555498 55001110996 110002221992