Search a number
-
+
100022002000100 = 22526915881246131
BaseRepresentation
bin10110101111100000101111…
…111001100010000011100100
3111010011000021021221221101022
4112233200233321202003210
5101102230030003000400
6552421250125550312
730032231311101155
oct2657405771420344
9433130237857338
10100022002000100
1129963102619534
12b274b26115398
1343a705a51840b
141a9b13ad5392c
15b86c06195b85
hex5af82fe620e4

100022002000100 has 72 divisors (see below), whose sum is σ = 217399694341536. Its totient is φ = 39943945440000.

The previous prime is 100022002000097. The next prime is 100022002000127. The reversal of 100022002000100 is 1000200220001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406254035 + ... + 406500165.

It is an arithmetic number, because the mean of its divisors is an integer number (3019440199188).

Almost surely, 2100022002000100 is an apocalyptic number.

100022002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022002000100 is an abundant number, since it is smaller than the sum of its proper divisors (117377692341436).

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

100022002000100 is a wasteful number, since it uses less digits than its factorization.

100022002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252717 (or 252710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100022002000100 its reverse (1000200220001), we get a palindrome (101022202220101).

The spelling of 100022002000100 in words is "one hundred trillion, twenty-two billion, two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 691 1382 2764 3455 5881 6910 11762 13820 17275 23524 29405 34550 58810 69100 117620 147025 246131 294050 492262 588100 984524 1230655 2461310 4063771 4922620 6153275 8127542 12306550 16255084 20318855 24613100 40637710 81275420 101594275 170076521 203188550 340153042 406377100 680306084 850382605 1447496411 1700765210 2894992822 3401530420 4251913025 5789985644 7237482055 8503826050 14474964110 17007652100 28949928220 36187410275 72374820550 144749641100 1000220020001 2000440040002 4000880080004 5001100100005 10002200200010 20004400400020 25005500500025 50011001000050 100022002000100