Search a number
-
+
201144241100001 = 31789337131497507
BaseRepresentation
bin101101101111000010001011…
…000010100001010011100001
3222101012012110000010120021110
4231233002023002201103201
5202331021401210200001
61551444215543213533
760240122543223063
oct5557021302412341
9871165400116243
10201144241100001
11590aa880310601
121a6871274472a9
138830a88985824
14379560ca4d733
15183c353a243d6
hexb6f08b0a14e1

201144241100001 has 32 divisors (see below), whose sum is σ = 288011101921920. Its totient is φ = 124419784237056.

The previous prime is 201144241099973. The next prime is 201144241100021. The reversal of 201144241100001 is 100001142441102.

It is not a de Polignac number, because 201144241100001 - 215 = 201144241067233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201144241100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64219111 + ... + 67278396.

It is an arithmetic number, because the mean of its divisors is an integer number (9000346935060).

Almost surely, 2201144241100001 is an apocalyptic number.

It is an amenable number.

201144241100001 is a deficient number, since it is larger than the sum of its proper divisors (86866860821919).

201144241100001 is a wasteful number, since it uses less digits than its factorization.

201144241100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131497953.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 201144241100001 its reverse (100001142441102), we get a palindrome (301145383541103).

The spelling of 201144241100001 in words is "two hundred one trillion, one hundred forty-four billion, two hundred forty-one million, one hundred thousand, one".

Divisors: 1 3 17 51 89 267 337 1011 1513 4539 5729 17187 29993 89979 509881 1529643 131497507 394492521 2235457619 6706372857 11703278123 35109834369 44314659859 132943979577 198955728091 596867184273 753349217603 2260047652809 3944004727451 11832014182353 67048080366667 201144241100001