Search a number
-
+
101200200021 = 3211244466669
BaseRepresentation
bin101111001000000000…
…0001000000101010101
3100200012211000211011100
41132100000020011111
53124224222400041
6114253555300313
710211556335634
oct1362000100525
9320184024140
10101200200021
1139a11969148
12177438aa699
13970a373c7b
144c8060351b
1529747b46b6
hex1790008155

101200200021 has 6 divisors (see below), whose sum is σ = 146178066710. Its totient is φ = 67466800008.

The previous prime is 101200199981. The next prime is 101200200067. The reversal of 101200200021 is 120002002101.

It can be written as a sum of positive squares in only one way, i.e., 101099197521 + 101002500 = 317961^2 + 10050^2 .

It is not a de Polignac number, because 101200200021 - 222 = 101196005717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11244466669 = 101200200021 / (1 + 0 + 1 + 2 + 0 + 0 + 2 + 0 + 0 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200199976 and 101200200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200200071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5622233326 + ... + 5622233343.

Almost surely, 2101200200021 is an apocalyptic number.

It is an amenable number.

101200200021 is a deficient number, since it is larger than the sum of its proper divisors (44977866689).

101200200021 is a wasteful number, since it uses less digits than its factorization.

101200200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244466675 (or 11244466672 counting only the distinct ones).

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

Adding to 101200200021 its reverse (120002002101), we get a palindrome (221202202122).

The spelling of 101200200021 in words is "one hundred one billion, two hundred million, two hundred thousand, twenty-one".

Divisors: 1 3 9 11244466669 33733400007 101200200021