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100000221200 = 245211101225023
BaseRepresentation
bin101110100100001111…
…0100100100000010000
3100120010012001120200022
41131020132210200100
53114300024034300
6113534531443012
710140045566255
oct1351036444020
9316105046608
10100000221200
1139456577310
1217469a56468
139578889329
144ba90bb42c
152904280285
hex17487a4810

100000221200 has 120 divisors (see below), whose sum is σ = 264687630336. Its totient is φ = 36003520000.

The previous prime is 100000221193. The next prime is 100000221221. The reversal of 100000221200 is 2122000001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 331889 + ... + 556911.

Almost surely, 2100000221200 is an apocalyptic number.

100000221200 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 100000221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132343815168).

100000221200 is an abundant number, since it is smaller than the sum of its proper divisors (164687409136).

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

100000221200 is a wasteful number, since it uses less digits than its factorization.

100000221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225153 (or 225142 counting only the distinct ones).

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

Adding to 100000221200 its reverse (2122000001), we get a palindrome (102122221201).

The spelling of 100000221200 in words is "one hundred billion, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 225023 444400 450046 900092 1125115 1800184 2250230 2475253 3600368 4500460 4950506 5625575 9000920 9901012 11251150 12376265 18001840 19802024 22502300 22727323 24752530 39604048 45004600 45454646 49505060 61881325 90009200 90909292 99010120 113636615 123762650 181818584 198020240 227273230 247525300 250000553 363637168 454546460 495050600 500001106 568183075 909092920 990101200 1000002212 1136366150 1250002765 1818185840 2000004424 2272732300 2500005530 4000008848 4545464600 5000011060 6250013825 9090929200 10000022120 12500027650 20000044240 25000055300 50000110600 100000221200