Search a number
-
+
10100020223 = 157193333323
BaseRepresentation
bin10010110100000001…
…00001001111111111
3222001212222012002002
421122000201033333
5131141101121343
64350114252515
7505200520046
oct113200411777
928055865062
1010100020223
11431321a757
121b5a58713b
13c4c63a237
146bb55b55d
153e1a688b8
hex25a0213ff

10100020223 has 8 divisors (see below), whose sum is σ = 10217047248. Its totient is φ = 9983660544.

The previous prime is 10100020163. The next prime is 10100020267. The reversal of 10100020223 is 32202000101.

It is a happy number.

10100020223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100020223 - 28 = 10100019967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100920223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136361 + ... + 196962.

It is an arithmetic number, because the mean of its divisors is an integer number (1277130906).

Almost surely, 210100020223 is an apocalyptic number.

10100020223 is a deficient number, since it is larger than the sum of its proper divisors (117027025).

10100020223 is a wasteful number, since it uses less digits than its factorization.

10100020223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333673.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10100020223 its reverse (32202000101), we get a palindrome (42302020324).

The spelling of 10100020223 in words is "ten billion, one hundred million, twenty thousand, two hundred twenty-three".

Divisors: 1 157 193 30301 333323 52331711 64331339 10100020223