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2120200020 = 2232511778889
BaseRepresentation
bin111111001011111…
…1010111101010100
312110202112022122200
41332113322331110
513320232400040
6550215124500
7103353255111
oct17627727524
95422468580
102120200020
11998885724
124b2073730
1327a341333
14161827908
15c6207630
hex7e5faf54

2120200020 has 36 divisors (see below), whose sum is σ = 6431273940. Its totient is φ = 565386624.

The previous prime is 2120200013. The next prime is 2120200021. The reversal of 2120200020 is 200020212.

It can be written as a sum of positive squares in 2 ways, for example, as 675896004 + 1444304016 = 25998^2 + 38004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120199975 and 2120200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120200021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5889265 + ... + 5889624.

Almost surely, 22120200020 is an apocalyptic number.

2120200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120200020 is an abundant number, since it is smaller than the sum of its proper divisors (4311073920).

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

2120200020 is a wasteful number, since it uses less digits than its factorization.

2120200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778904 (or 11778899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120200020 is about 46045.6297600543. The cubic root of 2120200020 is about 1284.6720577036.

Adding to 2120200020 its reverse (200020212), we get a palindrome (2320220232).

The spelling of 2120200020 in words is "two billion, one hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11778889 23557778 35336667 47115556 58894445 70673334 106010001 117788890 141346668 176683335 212020002 235577780 353366670 424040004 530050005 706733340 1060100010 2120200020