Search a number
-
+
120001312000101 = 3726599312370031
BaseRepresentation
bin11011010010001111111011…
…100100110000100001100101
3120201220000100202112112201210
4123102033323210300201211
5111212100141333000401
61103115501445342033
734163544244044300
oct3322177344604145
9521800322475653
10120001312000101
11352662a8218314
1211561084707919
1351c60c91a69ac
14218c1473d5b37
15dd17999164d6
hex6d23fb930865

120001312000101 has 24 divisors (see below), whose sum is σ = 186127319332224. Its totient is φ = 68571133659840.

The previous prime is 120001312000093. The next prime is 120001312000153. The reversal of 120001312000101 is 101000213100021.

120001312000101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120001312000101 - 23 = 120001312000093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001312000501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3515956 + ... + 15885986.

It is an arithmetic number, because the mean of its divisors is an integer number (7755304972176).

Almost surely, 2120001312000101 is an apocalyptic number.

It is an amenable number.

120001312000101 is a deficient number, since it is larger than the sum of its proper divisors (66126007332123).

120001312000101 is a wasteful number, since it uses less digits than its factorization.

120001312000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436041 (or 12436034 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120001312000101 its reverse (101000213100021), we get a palindrome (221001525100122).

The spelling of 120001312000101 in words is "one hundred twenty trillion, one billion, three hundred twelve million, one hundred one", and thus it is an aban number.

Divisors: 1 3 7 21 49 147 65993 197979 461951 1385853 3233657 9700971 12370031 37110093 86590217 259770651 606131519 1818394557 816335455783 2449006367349 5714348190481 17143044571443 40000437333367 120001312000101