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1020023022020 = 225457400127893
BaseRepresentation
bin11101101011111100001…
…11000010000111000100
310121111212011021100000012
432311332013002013010
5113203001343201040
62100331521205352
7133460056426352
oct16657607020704
93544764240005
101020023022020
11363653449782
1214582b790858
1375259674272
14375258027d2
151b7ee52d865
hexed7e1c21c4

1020023022020 has 48 divisors (see below), whose sum is σ = 2147349073968. Its totient is φ = 407000064000.

The previous prime is 1020023021951. The next prime is 1020023022037. The reversal of 1020023022020 is 202203200201.

1020023022020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49597071616 + 970425950404 = 222704^2 + 985102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020023021986 and 1020023022004.

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, 36555194 + ... + 36583086.

It is an arithmetic number, because the mean of its divisors is an integer number (44736439041).

Almost surely, 21020023022020 is an apocalyptic number.

1020023022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020023022020 is an abundant number, since it is smaller than the sum of its proper divisors (1127326051948).

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

1020023022020 is a wasteful number, since it uses less digits than its factorization.

1020023022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32360 (or 32358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 1020023022020 its reverse (202203200201), we get a palindrome (1222226222221).

The spelling of 1020023022020 in words is "one trillion, twenty billion, twenty-three million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 457 914 1828 2285 4001 4570 8002 9140 16004 20005 27893 40010 55786 80020 111572 139465 278930 557860 1828457 3656914 7313828 9142285 12747101 18284570 25494202 36569140 50988404 63735505 111599893 127471010 223199786 254942020 446399572 557999465 1115998930 2231997860 51001151101 102002302202 204004604404 255005755505 510011511010 1020023022020