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1012211020020 = 223569772417971
BaseRepresentation
bin11101011101011000111…
…10100111000011110100
310120202200201121111212210
432232230132213003310
5113041002010120040
62053000415013420
7133062350465334
oct16565436470364
93522621544783
101012211020020
11360304806a82
1214420b50a270
13745b3075585
1436dc40b50c4
151b4e37bb480
hexebac7a70f4

1012211020020 has 48 divisors (see below), whose sum is σ = 2834598247488. Its totient is φ = 269884139520.

The previous prime is 1012211020001. The next prime is 1012211020021. The reversal of 1012211020020 is 200201122101.

It is a super-2 number, since 2×10122110200202 (a number of 25 digits) contains 22 as substring.

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 = 1012211019978 and 1012211020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012211020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790366 + ... + 1627605.

It is an arithmetic number, because the mean of its divisors is an integer number (59054130156).

Almost surely, 21012211020020 is an apocalyptic number.

1012211020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012211020020 is an abundant number, since it is smaller than the sum of its proper divisors (1822387227468).

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

1012211020020 is a wasteful number, since it uses less digits than its factorization.

1012211020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424960 (or 2424958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012211020020 its reverse (200201122101), we get a palindrome (1212412142121).

The spelling of 1012211020020 in words is "one trillion, twelve billion, two hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6977 13954 20931 27908 34885 41862 69770 83724 104655 139540 209310 418620 2417971 4835942 7253913 9671884 12089855 14507826 24179710 29015652 36269565 48359420 72539130 145078260 16870183667 33740367334 50610551001 67480734668 84350918335 101221102002 168701836670 202442204004 253052755005 337403673340 506105510010 1012211020020