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1020011000020 = 225173000032353
BaseRepresentation
bin11101101011111010110…
…01001011000011010100
310121111211022122112220221
432311331121023003110
5113202440304000040
62100330411404124
7133456552305655
oct16657531130324
93544738575827
101020011000020
11363647688441
12145827753644
137525702525c
1437523d9352c
151b7ed45674a
hexed7d64b0d4

1020011000020 has 24 divisors (see below), whose sum is σ = 2268024459624. Its totient is φ = 384004141056.

The previous prime is 1020010999999. The next prime is 1020011000033. The reversal of 1020011000020 is 200001100201.

It can be written as a sum of positive squares in 4 ways, for example, as 124493242896 + 895517757124 = 352836^2 + 946318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020010999967 and 1020011000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1500015837 + ... + 1500016516.

It is an arithmetic number, because the mean of its divisors is an integer number (94501019151).

Almost surely, 21020011000020 is an apocalyptic number.

1020011000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020011000020 is an abundant number, since it is smaller than the sum of its proper divisors (1248013459604).

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

1020011000020 is a wasteful number, since it uses less digits than its factorization.

1020011000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000032379 (or 3000032377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1020011000020 its reverse (200001100201), we get a palindrome (1220012100221).

The spelling of 1020011000020 in words is "one trillion, twenty billion, eleven million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3000032353 6000064706 12000129412 15000161765 30000323530 51000550001 60000647060 102001100002 204002200004 255002750005 510005500010 1020011000020