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20202200100120 = 23351944417199487
BaseRepresentation
bin1001001011111101100001…
…11101011110110100011000
32122112022102001121212010210
410211332300331132310120
510121443101211200440
6110544432420011120
74153363231352643
oct445766075366430
978468361555123
1020202200100120
116489783316aa5
1223233a3b30aa0
13b370a036acac
144dbb12604a5a
1525078b546a80
hex125fb0f5ed18

20202200100120 has 128 divisors (see below), whose sum is σ = 63798177484800. Its totient is φ = 5103573221376.

The previous prime is 20202200100077. The next prime is 20202200100133. The reversal of 20202200100120 is 2100100220202.

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 = 20202200100096 and 20202200100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101171017 + ... + 101370503.

It is an arithmetic number, because the mean of its divisors is an integer number (498423261600).

Almost surely, 220202200100120 is an apocalyptic number.

20202200100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202200100120 is an abundant number, since it is smaller than the sum of its proper divisors (43595977384680).

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

20202200100120 is a wasteful number, since it uses less digits than its factorization.

20202200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243937 (or 243933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20202200100120 its reverse (2100100220202), we get a palindrome (22302300320322).

The spelling of 20202200100120 in words is "twenty trillion, two hundred two billion, two hundred million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 44417 88834 133251 177668 199487 222085 266502 355336 398974 444170 533004 598461 666255 797948 843923 888340 997435 1066008 1196922 1332510 1595896 1687846 1776680 1994870 2393844 2531769 2665020 2992305 3375692 3790253 3989740 4219615 4787688 5063538 5330040 5984610 6751384 7580506 7979480 8439230 10127076 11370759 11969220 12658845 15161012 16878460 18951265 20254152 22741518 23938440 25317690 30322024 33756920 37902530 45483036 50635380 56853795 75805060 90966072 101270760 113707590 151610120 227415180 454830360 8860614079 17721228158 26581842237 35442456316 44303070395 53163684474 70884912632 88606140790 106327368948 132909211185 168351667501 177212281580 212654737896 265818422370 336703335002 354424563160 505055002503 531636844740 673406670004 841758337505 1010110005006 1063273689480 1346813340008 1683516675010 2020220010012 2525275012515 3367033350020 4040440020024 5050550025030 6734066700040 10101100050060 20202200100120