Search a number
-
+
2133013233101 = 172315137396857
BaseRepresentation
bin11111000010100001011…
…111101111110111001101
321112220200100201012022212
4133002201133233313031
5234421402341424401
64311520500120205
7310051025221412
oct37024137576715
97486610635285
102133013233101
117526733a9603
122a5485996065
131261b07a476a
147534a208109
153a74064adbb
hex1f0a17efdcd

2133013233101 has 32 divisors (see below), whose sum is σ = 2378671308288. Its totient is φ = 1902406809600.

The previous prime is 2133013233059. The next prime is 2133013233103. The reversal of 2133013233101 is 1013323103312.

It is a cyclic number.

It is not a de Polignac number, because 2133013233101 - 214 = 2133013216717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133013233103) 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, 21973865 + ... + 22070721.

It is an arithmetic number, because the mean of its divisors is an integer number (74333478384).

Almost surely, 22133013233101 is an apocalyptic number.

It is an amenable number.

2133013233101 is a deficient number, since it is larger than the sum of its proper divisors (245658075187).

2133013233101 is a wasteful number, since it uses less digits than its factorization.

2133013233101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97421.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2133013233101 its reverse (1013323103312), we get a palindrome (3146336336413).

The spelling of 2133013233101 in words is "two trillion, one hundred thirty-three billion, thirteen million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 17 23 151 373 391 2567 3473 6341 8579 56323 59041 96857 145843 957491 1295429 1646569 2227711 14625407 22022293 36127661 37871087 248631919 336384361 614170237 830936203 5455276811 5718534137 14125915451 92739705787 125471366653 2133013233101