Search a number
-
+
1002202000101 = 32511372177597
BaseRepresentation
bin11101001010101111110…
…01001110101011100101
310112210212011212121202100
432211113321032223211
5112410002203000401
62044223311002313
7132256333305261
oct16452771165345
93483764777670
101002202000101
113570389a1195
12142297509399
137367954a693
1436714a850a1
151b109c2ab86
hexe957e4eae5

1002202000101 has 12 divisors (see below), whose sum is σ = 1447654084812. Its totient is φ = 668121294336.

The previous prime is 1002202000097. The next prime is 1002202000123. The reversal of 1002202000101 is 1010002022001.

It can be written as a sum of positive squares in 2 ways, for example, as 515130611076 + 487071389025 = 717726^2 + 697905^2 .

It is not a de Polignac number, because 1002202000101 - 22 = 1002202000097 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 (1002202000901) 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, 628566 + ... + 1549031.

It is an arithmetic number, because the mean of its divisors is an integer number (120637840401).

Almost surely, 21002202000101 is an apocalyptic number.

It is an amenable number.

1002202000101 is a deficient number, since it is larger than the sum of its proper divisors (445452084711).

1002202000101 is a wasteful number, since it uses less digits than its factorization.

1002202000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228740 (or 2228737 counting only the distinct ones).

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

Adding to 1002202000101 its reverse (1010002022001), we get a palindrome (2012204022102).

The spelling of 1002202000101 in words is "one trillion, two billion, two hundred two million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 51137 153411 460233 2177597 6532791 19598373 111355777789 334067333367 1002202000101