Search a number
-
+
10113112122301 = 4359142916191723
BaseRepresentation
bin1001001100101010010001…
…1101001010001110111101
31022210210201011122102102101
42103022210131022032331
52311143123200403201
633301522150225101
72062435226461516
oct223124435121675
938723634572371
1010113112122301
113249a46165731
121173ba4955191
1358487c335cc6
1426d697783a0d
151280ea37ad01
hex932a474a3bd

10113112122301 has 32 divisors (see below), whose sum is σ = 10543680576000. Its totient is φ = 9692083695168.

The previous prime is 10113112122271. The next prime is 10113112122317. The reversal of 10113112122301 is 10322121131101.

10113112122301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10113112122301 - 211 = 10113112120253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113112122391) 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, 5869478026 + ... + 5869479748.

It is an arithmetic number, because the mean of its divisors is an integer number (329490018000).

Almost surely, 210113112122301 is an apocalyptic number.

It is an amenable number.

10113112122301 is a deficient number, since it is larger than the sum of its proper divisors (430568453699).

10113112122301 is a wasteful number, since it uses less digits than its factorization.

10113112122301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10113112122301 its reverse (10322121131101), we get a palindrome (20435233253402).

The spelling of 10113112122301 in words is "ten trillion, one hundred thirteen billion, one hundred twelve million, one hundred twenty-two thousand, three hundred one".

Divisors: 1 43 59 1429 1619 1723 2537 61447 69617 74089 84311 95521 101657 2313551 2462167 2789537 3625373 4107403 4371251 99482693 105873181 119950091 136499509 145267853 164582683 3986248373 5869478887 6246517679 7077055369 171408680039 235188654007 10113112122301