Search a number
-
+
122331232315201 = 7137126877046443
BaseRepresentation
bin11011110100001001110101…
…101001011010011101000001
3121001010202021220122220200111
4123310021311221122131001
5112013233330433041301
61112102105311551321
734524065656002250
oct3364116551323501
9531122256586614
10122331232315201
1135a84425522a38
121187874222b541
135334a2a281c10
14222cc12a0c797
15e221b1bdb551
hex6f4275a5a741

122331232315201 has 32 divisors (see below), whose sum is σ = 152738945630208. Its totient is φ = 95390785788480.

The previous prime is 122331232315199. The next prime is 122331232315223. The reversal of 122331232315201 is 102513232133221.

It is not a de Polignac number, because 122331232315201 - 21 = 122331232315199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122331232315601) 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, 13837486 + ... + 20883928.

It is an arithmetic number, because the mean of its divisors is an integer number (4773092050944).

Almost surely, 2122331232315201 is an apocalyptic number.

It is an amenable number.

122331232315201 is a deficient number, since it is larger than the sum of its proper divisors (30407713315007).

122331232315201 is a wasteful number, since it uses less digits than its factorization.

122331232315201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049221.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 122331232315201 its reverse (102513232133221), we get a palindrome (224844464448422).

The spelling of 122331232315201 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred thirty-two million, three hundred fifteen thousand, two hundred one".

Divisors: 1 7 13 71 91 497 923 2687 6461 18809 34931 190777 244517 1335439 2480101 7046443 17360707 49325101 91603759 500297453 641226313 3502082171 6503866889 18933792341 45527068223 132536546387 246139300433 1344299256211 1722975103031 9410094793477 17475890330743 122331232315201