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10121320211 = 838910971249
BaseRepresentation
bin10010110110100011…
…10001011100010011
3222010101001100011112
421123101301130103
5131212024221321
64352155003535
7505546542122
oct113321613423
928111040145
1010121320211
114324248752
121b657395ab
13c53b87292
146c0303ab9
153e3874a5b
hex25b471713

10121320211 has 16 divisors (see below), whose sum is σ = 10376100000. Its totient is φ = 9870102528.

The previous prime is 10121320201. The next prime is 10121320217. The reversal of 10121320211 is 11202312101.

10121320211 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 10121320211 - 230 = 9047578387 is a prime.

It is a super-2 number, since 2×101213202112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121320217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8102915 + ... + 8104163.

It is an arithmetic number, because the mean of its divisors is an integer number (648506250).

Almost surely, 210121320211 is an apocalyptic number.

10121320211 is a deficient number, since it is larger than the sum of its proper divisors (254779789).

10121320211 is a wasteful number, since it uses less digits than its factorization.

10121320211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10121320211 its reverse (11202312101), we get a palindrome (21323632312).

The spelling of 10121320211 in words is "ten billion, one hundred twenty-one million, three hundred twenty thousand, two hundred eleven".

Divisors: 1 83 89 1097 1249 7387 91051 97633 103667 111161 1370153 8103539 9226363 113722699 121943617 10121320211