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1020022020020 = 225113601750977
BaseRepresentation
bin11101101011111100000…
…11001101011110110100
310121111212002101102112002
432311332003031132310
5113203001114120040
62100331443514432
7133460045054153
oct16657603153664
93544762342462
101020022020020
11363652924983
1214582b388a18
13752593b3173
143752562159a
151b7ee3d1a15
hexed7e0cd7b4

1020022020020 has 48 divisors (see below), whose sum is σ = 2164600963728. Its totient is φ = 403724697600.

The previous prime is 1020022019977. The next prime is 1020022020047. The reversal of 1020022020020 is 200202200201.

It can be written as a sum of positive squares in 8 ways, for example, as 94093108516 + 925928911504 = 306746^2 + 962252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020022019983 and 1020022020010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982772 + ... + 1733748.

It is an arithmetic number, because the mean of its divisors is an integer number (45095853411).

Almost surely, 21020022020020 is an apocalyptic number.

1020022020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020022020020 is an abundant number, since it is smaller than the sum of its proper divisors (1144578943708).

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

1020022020020 is a wasteful number, since it uses less digits than its factorization.

1020022020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751700 (or 751698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1020022020020 its reverse (200202200201), we get a palindrome (1220224220221).

The spelling of 1020022020020 in words is "one trillion, twenty billion, twenty-two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 601 1130 1202 2260 2404 3005 6010 12020 67913 135826 271652 339565 679130 750977 1358260 1501954 3003908 3754885 7509770 15019540 84860401 169720802 339441604 424302005 451337177 848604010 902674354 1697208020 1805348708 2256685885 4513371770 9026743540 51001101001 102002202002 204004404004 255005505005 510011010010 1020022020020