Search a number
-
+
100201113031151 = 1125735444327213
BaseRepresentation
bin10110110010000111100011…
…101111111001000111101111
3111010210010120211222001111002
4112302013203233321013233
5101113143334413444101
6553035431132550515
730051201663535106
oct2662074357710757
9433703524861432
10100201113031151
1129a22065083130
12b2a379202243b
1343bac02c29222
141aa5a8ca6503d
15b8b6da800d6b
hex5b21e3bf91ef

100201113031151 has 8 divisors (see below), whose sum is σ = 109735637054544. Its totient is φ = 90737477662720.

The previous prime is 100201113031067. The next prime is 100201113031171. The reversal of 100201113031151 is 151130311102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201113031151 - 218 = 100201112769007 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 (100201113031171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17722160780 + ... + 17722166433.

It is an arithmetic number, because the mean of its divisors is an integer number (13716954631818).

Almost surely, 2100201113031151 is an apocalyptic number.

100201113031151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201113031151 is a deficient number, since it is larger than the sum of its proper divisors (9534524023393).

100201113031151 is a wasteful number, since it uses less digits than its factorization.

100201113031151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35444327481.

The product of its (nonzero) digits is 90, while the sum is 20.

Adding to 100201113031151 its reverse (151130311102001), we get a palindrome (251331424133152).

The spelling of 100201113031151 in words is "one hundred trillion, two hundred one billion, one hundred thirteen million, thirty-one thousand, one hundred fifty-one".

Divisors: 1 11 257 2827 35444327213 389887599343 9109192093741 100201113031151