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234121404001 = 10938916373373
BaseRepresentation
bin1101101000001010111…
…0010001111001100001
3211101022022201121022011
43122002232101321201
512313440034412001
6255315350112521
722625514045652
oct3320256217141
9741268647264
10234121404001
119032147a041
123945a94b741
1319101501964
14b48da43529
156153d04d51
hex3682b91e61

234121404001 has 16 divisors (see below), whose sum is σ = 237091654800. Its totient is φ = 231167271168.

The previous prime is 234121403941. The next prime is 234121404047. The reversal of 234121404001 is 100404121432.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 904401 + 234120499600 = 951^2 + 483860^2 .

It is a cyclic number.

It is not a de Polignac number, because 234121404001 - 211 = 234121401953 is a prime.

It is a super-2 number, since 2×2341214040012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234121404071) 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, 69408751 + ... + 69412123.

It is an arithmetic number, because the mean of its divisors is an integer number (14818228425).

Almost surely, 2234121404001 is an apocalyptic number.

It is an amenable number.

234121404001 is a deficient number, since it is larger than the sum of its proper divisors (2970250799).

234121404001 is a wasteful number, since it uses less digits than its factorization.

234121404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 234121404001 its reverse (100404121432), we get a palindrome (334525525433).

The spelling of 234121404001 in words is "two hundred thirty-four billion, one hundred twenty-one million, four hundred four thousand, one".

Divisors: 1 109 389 1637 3373 42401 178433 367657 636793 1312097 5521601 69410437 143018573 601854509 2147902789 234121404001