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10120122122220 = 22335111703724263
BaseRepresentation
bin1001001101000100011001…
…0010001011111111101100
31022211110210201012022112000
42103101012102023333230
52311302002230402340
633305041523012300
72063104026500205
oct223210622137754
938743721168460
1010120122122220
113251a1311a3a0
12117542050a090
13585428730756
1426db607845ac
151283aa9bcd30
hex9344648bfec

10120122122220 has 96 divisors (see below), whose sum is σ = 34347081162240. Its totient is φ = 2453362937280.

The previous prime is 10120122122197. The next prime is 10120122122221. The reversal of 10120122122220 is 2222122102101.

It is a happy number.

10120122122220 is a `hidden beast` number, since 1 + 0 + 1 + 201 + 221 + 22 + 220 = 666.

10120122122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10120122122193 and 10120122122202.

It is not an unprimeable number, because it can be changed into a prime (10120122122221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851856192 + ... + 851868071.

It is an arithmetic number, because the mean of its divisors is an integer number (357782095440).

Almost surely, 210120122122220 is an apocalyptic number.

10120122122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120122122220 is an abundant number, since it is smaller than the sum of its proper divisors (24226959040020).

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

10120122122220 is a wasteful number, since it uses less digits than its factorization.

10120122122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703724292 (or 1703724284 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10120122122220 its reverse (2222122102101), we get a palindrome (12342244224321).

The spelling of 10120122122220 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1703724263 3407448526 5111172789 6814897052 8518621315 10222345578 15333518367 17037242630 18740966893 20444691156 25555863945 30667036734 34074485260 37481933786 46000555101 51111727890 56222900679 61334073468 74963867572 76667591835 92001110202 93704834465 102223455780 112445801358 153335183670 168668702037 184002220404 187409668930 224891602716 230002775505 281114503395 306670367340 337337404074 374819337860 460005551010 506006106111 562229006790 674674808148 843343510185 920011102020 1012012212222 1124458013580 1686687020370 2024024424444 2530030530555 3373374040740 5060061061110 10120122122220