Search a number
-
+
101411233001 = 1329415764709
BaseRepresentation
bin101111001110010010…
…1001001110011101001
3100200202112010101222122
41132130211021303221
53130142233424001
6114330534401025
710220031154301
oct1363445116351
9320675111878
10101411233001
113a00aaa7371
12177a2500175
139741cc2060
144ca0658601
15298809cb1b
hex179c949ce9

101411233001 has 16 divisors (see below), whose sum is σ = 113006955600. Its totient is φ = 90359286528.

The previous prime is 101411232997. The next prime is 101411233009. The reversal of 101411233001 is 100332114101.

It can be written as a sum of positive squares in 8 ways, for example, as 193600 + 101411039401 = 440^2 + 318451^2 .

It is a cyclic number.

It is not a de Polignac number, because 101411233001 - 22 = 101411232997 is a prime.

It is a super-2 number, since 2×1014112330012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101411233009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534835 + ... + 1599543.

It is an arithmetic number, because the mean of its divisors is an integer number (7062934725).

Almost surely, 2101411233001 is an apocalyptic number.

It is an amenable number.

101411233001 is a deficient number, since it is larger than the sum of its proper divisors (11595722599).

101411233001 is a wasteful number, since it uses less digits than its factorization.

101411233001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68908.

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

Adding to 101411233001 its reverse (100332114101), we get a palindrome (201743347102).

The spelling of 101411233001 in words is "one hundred one billion, four hundred eleven million, two hundred thirty-three thousand, one".

Divisors: 1 13 29 377 4157 54041 64709 120553 841217 1567189 1876561 24395293 268995313 3496939069 7800864077 101411233001