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100011212220 = 223567127195893
BaseRepresentation
bin101110100100100100…
…0011111110110111100
3100120010221201222112010
41131021020133312330
53114310332242340
6113540003211220
710140241164123
oct1351110376674
9316127658463
10100011212220
11394617a3aa7
1217471676b10
13957ac36caa
144baa73caba
152905201b80
hex174921fdbc

100011212220 has 96 divisors (see below), whose sum is σ = 286450311168. Its totient is φ = 26064605952.

The previous prime is 100011212201. The next prime is 100011212243. The reversal of 100011212220 is 22212110001.

100011212220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100011212196 and 100011212205.

It is a congruent number.

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, 412594 + ... + 608486.

It is an arithmetic number, because the mean of its divisors is an integer number (2983857408).

Almost surely, 2100011212220 is an apocalyptic number.

100011212220 is a gapful number since it is divisible by the number (10) 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 100011212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143225155584).

100011212220 is an abundant number, since it is smaller than the sum of its proper divisors (186439098948).

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

100011212220 is a wasteful number, since it uses less digits than its factorization.

100011212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196099 (or 196097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100011212220 its reverse (22212110001), we get a palindrome (122223322221).

It can be divided in two parts, 10001 and 1212220, that added together give a palindrome (1222221).

The spelling of 100011212220 in words is "one hundred billion, eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 127 134 201 254 268 335 381 402 508 635 670 762 804 1005 1270 1340 1524 1905 2010 2540 3810 4020 7620 8509 17018 25527 34036 42545 51054 85090 102108 127635 170180 195893 255270 391786 510540 587679 783572 979465 1175358 1958930 2350716 2938395 3917860 5876790 11753580 13124831 24878411 26249662 39374493 49756822 52499324 65624155 74635233 78748986 99513644 124392055 131248310 149270466 157497972 196872465 248784110 262496620 298540932 373176165 393744930 497568220 746352330 787489860 1492704660 1666853537 3333707074 5000560611 6667414148 8334267685 10001121222 16668535370 20002242444 25002803055 33337070740 50005606110 100011212220