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2122102020 = 2235191861493
BaseRepresentation
bin111111001111100…
…1011010100000100
312110220002221201010
41332133023110010
513321224231040
6550324002220
7103405366233
oct17637132404
95426087633
102122102020
11999964725
124b2830370
1327a858c8c
14161ba0b1a
15c6480e80
hex7e7cb504

2122102020 has 48 divisors (see below), whose sum is σ = 6254619840. Its totient is φ = 536109696.

The previous prime is 2122102007. The next prime is 2122102049. The reversal of 2122102020 is 202012212.

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 = 2122101987 and 2122102005.

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, 929607 + ... + 931886.

It is an arithmetic number, because the mean of its divisors is an integer number (130304580).

Almost surely, 22122102020 is an apocalyptic number.

2122102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122102020 is an abundant number, since it is smaller than the sum of its proper divisors (4132517820).

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

2122102020 is a wasteful number, since it uses less digits than its factorization.

2122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861524 (or 1861522 counting only the distinct ones).

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

The square root of 2122102020 is about 46066.2785560110. The cubic root of 2122102020 is about 1285.0560963061.

Adding to 2122102020 its reverse (202012212), we get a palindrome (2324114232).

The spelling of 2122102020 in words is "two billion, one hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1861493 3722986 5584479 7445972 9307465 11168958 18614930 22337916 27922395 35368367 37229860 55844790 70736734 106105101 111689580 141473468 176841835 212210202 353683670 424420404 530525505 707367340 1061051010 2122102020