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100022201001100 = 22527433322996711
BaseRepresentation
bin10110101111100000111011…
…110000101010010010001100
3111010011000210011102020102201
4112233200323300222102030
5101102230431424013400
6552421321555131244
730032236245425050
oct2657407360522214
9433130704366381
10100022201001100
11299631a4989974
12b274b808a3b24
1343a708c812aa1
141a9b159555c60
15b86c188a406a
hex5af83bc2a48c

100022201001100 has 72 divisors (see below), whose sum is σ = 253823780849408. Its totient is φ = 33495806836800.

The previous prime is 100022201001061. The next prime is 100022201001119. The reversal of 100022201001100 is 1100102220001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1661468256 + ... + 1661528455.

Almost surely, 2100022201001100 is an apocalyptic number.

100022201001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022201001100 is an abundant number, since it is smaller than the sum of its proper divisors (153801579848308).

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

100022201001100 is a wasteful number, since it uses less digits than its factorization.

100022201001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322996775 (or 3322996768 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100022201001100 its reverse (1100102220001), we get a palindrome (101122303221101).

The spelling of 100022201001100 in words is "one hundred trillion, twenty-two billion, two hundred one million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4300 6020 7525 15050 30100 3322996711 6645993422 13291986844 16614983555 23260976977 33229967110 46521953954 66459934220 83074917775 93043907908 116304884885 142888858573 166149835550 232609769770 285777717146 332299671100 465219539540 571555434292 581524424425 714444292865 1000222010011 1163048848850 1428888585730 2000444020022 2326097697700 2857777171460 3572221464325 4000888040044 5001110050055 7144442928650 10002220100110 14288885857300 20004440200220 25005550250275 50011100500550 100022201001100