Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
10022210142 = 2376712772789
BaseRepresentation
bin10010101010101111…
…01100101001011110
3221212110120000201020
421111113230221132
5131011141211032
64334254425010
7503234244360
oct112527545136
927773500636
1010022210142
1142833048aa
121b38502166
13c39495879
146b10a4d30
153d9ce8b2c
hex2555eca5e

10022210142 has 64 divisors (see below), whose sum is σ = 23276367360. Its totient is φ = 2817530496.

The previous prime is 10022210089. The next prime is 10022210161. The reversal of 10022210142 is 24101222001.

It is a super-2 number, since 2×100222101422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3592084 + ... + 3594872.

It is an arithmetic number, because the mean of its divisors is an integer number (363693240).

Almost surely, 210022210142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022210142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638183680).

10022210142 is an abundant number, since it is smaller than the sum of its proper divisors (13254157218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022210142 is a wasteful number, since it uses less digits than its factorization.

10022210142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10022210142 its reverse (24101222001), we get a palindrome (34123432143).

The spelling of 10022210142 in words is "ten billion, twenty-two million, two hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1277 1407 2554 2789 2814 3831 5578 7662 8367 8939 16734 17878 19523 26817 39046 53634 58569 85559 117138 171118 186863 256677 373726 513354 560589 598913 1121178 1197826 1308041 1796739 2616082 3561553 3593478 3924123 7123106 7848246 10684659 21369318 24930871 49861742 74792613 149585226 238624051 477248102 715872153 1431744306 1670368357 3340736714 5011105071 10022210142