Search a number
-
+
10120031120211 = 331722291506563
BaseRepresentation
bin1001001101000100000011…
…0111000010101101010011
31022211110120100221221020020
42103101000313002231103
52311301310431321321
633305024512314523
72063101543132215
oct223210067025523
938743510857206
1010120031120211
113251976814221
1211753b5b42a43
1358541291a6cc
1426db526565b5
151283a29e44c6
hex93440dc2b53

10120031120211 has 16 divisors (see below), whose sum is σ = 13928847068160. Its totient is φ = 6528957608160.

The previous prime is 10120031120191. The next prime is 10120031120231. The reversal of 10120031120211 is 11202113002101.

It is an interprime number because it is at equal distance from previous prime (10120031120191) and next prime (10120031120231).

It is not a de Polignac number, because 10120031120211 - 27 = 10120031120083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120031120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5964016 + ... + 7470578.

It is an arithmetic number, because the mean of its divisors is an integer number (870552941760).

Almost surely, 210120031120211 is an apocalyptic number.

10120031120211 is a deficient number, since it is larger than the sum of its proper divisors (3808815947949).

10120031120211 is a wasteful number, since it uses less digits than its factorization.

10120031120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578826.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10120031120211 its reverse (11202113002101), we get a palindrome (21322144122312).

The spelling of 10120031120211 in words is "ten trillion, one hundred twenty billion, thirty-one million, one hundred twenty thousand, two hundred eleven".

Divisors: 1 3 31 93 72229 216687 1506563 2239099 4519689 6717297 46703453 140110359 108817538927 326452616781 3373343706737 10120031120211