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100202201220220 = 225113114692404871
BaseRepresentation
bin10110110010001000100100…
…100111000000010001111100
3111010210020101200120210020221
4112302020210213000101330
5101113203102003021340
6553040131124351124
730051240646150021
oct2662104447002174
9433706350523227
10100202201220220
1129a22573360740
12b2a3a365454a4
1343bb047502c98
141aa5b533ab548
15b8b75110244a
hex5b22249c047c

100202201220220 has 48 divisors (see below), whose sum is σ = 236959105775616. Its totient is φ = 35261771688000.

The previous prime is 100202201220131. The next prime is 100202201220241. The reversal of 100202201220220 is 22022102202001.

It is a super-2 number, since 2×1002022012202202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100202201220194 and 100202201220203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7346195616 + ... + 7346209255.

It is an arithmetic number, because the mean of its divisors is an integer number (4936648036992).

Almost surely, 2100202201220220 is an apocalyptic number.

100202201220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202201220220 is an abundant number, since it is smaller than the sum of its proper divisors (136756904555396).

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

100202201220220 is a wasteful number, since it uses less digits than its factorization.

100202201220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692404922 (or 14692404920 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100202201220220 its reverse (22022102202001), we get a palindrome (122224303422221).

The spelling of 100202201220220 in words is "one hundred trillion, two hundred two billion, two hundred one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 14692404871 29384809742 58769619484 73462024355 146924048710 161616453581 293848097420 323232907162 455464551001 646465814324 808082267905 910929102002 1616164535810 1821858204004 2277322755005 3232329071620 4554645510010 5010110061011 9109291020020 10020220122022 20040440244044 25050550305055 50101100610110 100202201220220