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100000222320 = 24351992093807
BaseRepresentation
bin101110100100001111…
…0100100110001110000
3100120010012001122012210
41131020132210301300
53114300024103240
6113534531452120
710140045602445
oct1351036446160
9316105048183
10100000222320
1139456578139
1217469a57040
1395788899ab
144ba90bb9cc
152904280780
hex17487a4c70

100000222320 has 80 divisors (see below), whose sum is σ = 311558630400. Its totient is φ = 26532709632.

The previous prime is 100000222249. The next prime is 100000222349. The reversal of 100000222320 is 23222000001.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 100000222296 and 100000222305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999144 + ... + 1094663.

It is an arithmetic number, because the mean of its divisors is an integer number (3894482880).

Almost surely, 2100000222320 is an apocalyptic number.

100000222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000222320 is an abundant number, since it is smaller than the sum of its proper divisors (211558408080).

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

100000222320 is a wasteful number, since it uses less digits than its factorization.

100000222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094022 (or 2094016 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100000222320 its reverse (23222000001), we get a palindrome (123222222321).

The spelling of 100000222320 in words is "one hundred billion, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 7960 9552 11940 15920 23880 47760 2093807 4187614 6281421 8375228 10469035 12562842 16750456 20938070 25125684 31407105 33500912 41876140 50251368 62814210 83752280 100502736 125628420 167504560 251256840 416667593 502513680 833335186 1250002779 1666670372 2083337965 2500005558 3333340744 4166675930 5000011116 6250013895 6666681488 8333351860 10000022232 12500027790 16666703720 20000044464 25000055580 33333407440 50000111160 100000222320