Search a number
-
+
210020120009 = 75917321113931
BaseRepresentation
bin1100001110011000101…
…1001011010111001001
3202002002122220112002022
43003212023023113021
511420110122320014
6240252032014225
721113331364610
oct3034613132711
9662078815068
10210020120009
1181083978717
1234853391375
1316a6023257b
14a244ba0877
1556e2ea8a8e
hex30e62cb5c9

210020120009 has 32 divisors (see below), whose sum is σ = 246683335680. Its totient is φ = 175096756800.

The previous prime is 210020119921. The next prime is 210020120027. The reversal of 210020120009 is 900021020012.

210020120009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210020120009 - 224 = 210003342793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210020120039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15068774 + ... + 15082704.

It is an arithmetic number, because the mean of its divisors is an integer number (7708854240).

Almost surely, 2210020120009 is an apocalyptic number.

It is an amenable number.

210020120009 is a deficient number, since it is larger than the sum of its proper divisors (36663215671).

210020120009 is a wasteful number, since it uses less digits than its factorization.

210020120009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14381.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 210020120009 in words is "two hundred ten billion, twenty million, one hundred twenty thousand, nine".

Divisors: 1 7 59 173 211 413 1211 1477 10207 12449 13931 36503 71449 87143 97517 255521 821929 2153677 2410063 2939441 5753503 15075739 16870441 20576087 142193717 173427019 508523293 995356019 1213989133 3559663051 30002874287 210020120009