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233130220334101 = 29281274091043761
BaseRepresentation
bin110101000000011111011011…
…111110000010110000010101
31010120110000211220010110200201
4311000133123332002300111
5221024101142401142401
62143454313353540501
7100051050121603006
oct6500373376026025
91116400756113621
10233130220334101
1168311a75760502
1222192247114731
13a01111595934c
14417d7c47291ad
151be43ba944b01
hexd407dbf82c15

233130220334101 has 16 divisors (see below), whose sum is σ = 242036508913200. Its totient is φ = 224281812787200.

The previous prime is 233130220334087. The next prime is 233130220334117. The reversal of 233130220334101 is 101433022031332.

233130220334101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24833019759076 + 208297200575025 = 4983274^2 + 14432505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233130220334101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233130220334101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233130220334191) 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, 222834061 + ... + 223877821.

It is an arithmetic number, because the mean of its divisors is an integer number (15127281807075).

Almost surely, 2233130220334101 is an apocalyptic number.

It is an amenable number.

233130220334101 is a deficient number, since it is larger than the sum of its proper divisors (8906288579099).

233130220334101 is a wasteful number, since it uses less digits than its factorization.

233130220334101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071480.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 233130220334101 its reverse (101433022031332), we get a palindrome (334563242365433).

The spelling of 233130220334101 in words is "two hundred thirty-three trillion, one hundred thirty billion, two hundred twenty million, three hundred thirty-four thousand, one hundred one".

Divisors: 1 29 281 8149 27409 794861 1043761 7701929 30269069 223355941 293296841 8505608389 28608445249 829644912221 8038973114969 233130220334101