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20022001120 = 2551111376137
BaseRepresentation
bin10010101001011001…
…110111110111100000
31220200100221001010001
4102221121313313200
5312001113013440
613110432545344
71306110126052
oct225131676740
956610831101
1020022001120
118544996870
123a693b2254
131b7110bb54
14d7d1b18d2
157c2b64b9a
hex4a9677de0

20022001120 has 48 divisors (see below), whose sum is σ = 51602161968. Its totient is φ = 7280727040.

The previous prime is 20022001067. The next prime is 20022001199. The reversal of 20022001120 is 2110022002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20022001097 and 20022001106.

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 7 ways as a sum of consecutive naturals, for example, 5686309 + ... + 5689828.

It is an arithmetic number, because the mean of its divisors is an integer number (1075045041).

Almost surely, 220022001120 is an apocalyptic number.

20022001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022001120 is an abundant number, since it is smaller than the sum of its proper divisors (31580160848).

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

20022001120 is a wasteful number, since it uses less digits than its factorization.

20022001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376163 (or 11376155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20022001120 its reverse (2110022002), we get a palindrome (22132023122).

The spelling of 20022001120 in words is "twenty billion, twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 11376137 22752274 45504548 56880685 91009096 113761370 125137507 182018192 227522740 250275014 364036384 455045480 500550028 625687535 910090960 1001100056 1251375070 1820181920 2002200112 2502750140 4004400224 5005500280 10011000560 20022001120