Search a number
-
+
10022110212201 = 337215731874877
BaseRepresentation
bin1001000111010111010001…
…0100011011000001101001
31022111002211002111102000120
42101311310110123001221
52303200240203242301
633152032135353453
72053034143140333
oct221656424330151
938432732442016
1010022110212201
113214397a3676a
12115a428522889
13579108a88319
1426910379c453
15125a71091e36
hex91d7451b069

10022110212201 has 48 divisors (see below), whose sum is σ = 13828379334336. Its totient is φ = 6456070842624.

The previous prime is 10022110212199. The next prime is 10022110212209. The reversal of 10022110212201 is 10221201122001.

It is not a de Polignac number, because 10022110212201 - 21 = 10022110212199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022110212209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2054971975 + ... + 2054976851.

It is an arithmetic number, because the mean of its divisors is an integer number (288091236132).

Almost surely, 210022110212201 is an apocalyptic number.

It is an amenable number.

10022110212201 is a deficient number, since it is larger than the sum of its proper divisors (3806269122135).

10022110212201 is a wasteful number, since it uses less digits than its factorization.

10022110212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10022110212201 its reverse (10221201122001), we get a palindrome (20243311334202).

The spelling of 10022110212201 in words is "ten trillion, twenty-two billion, one hundred ten million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 37 111 157 471 1369 3187 4107 4877 5809 9561 14631 17427 117919 180449 214933 353757 500359 541347 644799 765689 1501077 2297067 4363003 6676613 13089009 15542999 18513283 20029839 28330493 46628997 55539849 84991479 575090963 684991471 1048228241 1725272889 2054974413 2440250843 3144684723 7320752529 21278365631 63835096893 90289281191 270867843573 3340703404067 10022110212201