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2120111020 = 2252310194523
BaseRepresentation
bin111111001011110…
…0101001110101100
312110202100210120101
41332113211032230
513320222023040
6550213200444
7103352434456
oct17627451654
95422323511
102120111020
11998824875
124b2030124
1327a30c981
141618032d6
15c61db09a
hex7e5e53ac

2120111020 has 48 divisors (see below), whose sum is σ = 4651395840. Its totient is φ = 810197696.

The previous prime is 2120111011. The next prime is 2120111023. The reversal of 2120111020 is 201110212.

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 = 2120110988 and 2120111006.

It is not an unprimeable number, because it can be changed into a prime (2120111023) by changing a digit.

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, 466479 + ... + 471001.

It is an arithmetic number, because the mean of its divisors is an integer number (96904080).

Almost surely, 22120111020 is an apocalyptic number.

2120111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120111020 is an abundant number, since it is smaller than the sum of its proper divisors (2531284820).

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

2120111020 is a wasteful number, since it uses less digits than its factorization.

2120111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2120111020 is about 46044.6633172619. The cubic root of 2120111020 is about 1284.6540818189.

Adding to 2120111020 its reverse (201110212), we get a palindrome (2321221232).

The spelling of 2120111020 in words is "two billion, one hundred twenty million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1019 2038 4076 4523 5095 9046 10190 18092 20380 22615 23437 45230 46874 90460 93748 104029 117185 208058 234370 416116 468740 520145 1040290 2080580 4608937 9217874 18435748 23044685 46089370 92178740 106005551 212011102 424022204 530027755 1060055510 2120111020