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1020022000101 = 32138718136753
BaseRepresentation
bin11101101011111100000…
…11001000100111100101
310121111212002100102012100
432311332003020213211
5113203001113000401
62100331443242313
7133460044642116
oct16657603104745
93544762312170
101020022000101
11363652910a15
1214582b379399
13752593a7090
143752561820d
151b7ee3cab86
hexed7e0c89e5

1020022000101 has 12 divisors (see below), whose sum is σ = 1586700889228. Its totient is φ = 627705846144.

The previous prime is 1020022000051. The next prime is 1020022000111. The reversal of 1020022000101 is 1010002200201.

It can be written as a sum of positive squares in 2 ways, for example, as 257672988225 + 762349011876 = 507615^2 + 873126^2 .

It is not a de Polignac number, because 1020022000101 - 29 = 1020021999589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020022000111) 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, 4359068260 + ... + 4359068493.

Almost surely, 21020022000101 is an apocalyptic number.

It is an amenable number.

1020022000101 is a deficient number, since it is larger than the sum of its proper divisors (566678889127).

1020022000101 is a wasteful number, since it uses less digits than its factorization.

1020022000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718136772 (or 8718136769 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020022000101 its reverse (1010002200201), we get a palindrome (2030024200302).

The spelling of 1020022000101 in words is "one trillion, twenty billion, twenty-two million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 8718136753 26154410259 78463230777 113335777789 340007333367 1020022000101