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10120011201 = 3223161930197
BaseRepresentation
bin10010110110011001…
…10001110111000001
3222010021120211112200
421123030301313001
5131211210324301
64352110543413
7505532450556
oct113314616701
928107524480
1010120011201
114323534223
121b65207b69
13c53819511
146c0082a2d
153e36b6c86
hex25b331dc1

10120011201 has 24 divisors (see below), whose sum is σ = 15263277120. Its totient is φ = 6449140896.

The previous prime is 10120011197. The next prime is 10120011233. The reversal of 10120011201 is 10211002101.

It is a happy number.

10120011201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120011201 - 22 = 10120011197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10120011241) 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 23 ways as a sum of consecutive naturals, for example, 320035 + ... + 350231.

It is an arithmetic number, because the mean of its divisors is an integer number (635969880).

Almost surely, 210120011201 is an apocalyptic number.

It is an amenable number.

10120011201 is a deficient number, since it is larger than the sum of its proper divisors (5143265919).

10120011201 is a wasteful number, since it uses less digits than its factorization.

10120011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31845 (or 31842 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120011201 its reverse (10211002101), we get a palindrome (20331013302).

The spelling of 10120011201 in words is "ten billion, one hundred twenty million, eleven thousand, two hundred one".

Divisors: 1 3 9 23 69 207 1619 4857 14571 30197 37237 90591 111711 271773 335133 694531 2083593 6250779 48888943 146666829 440000487 1124445689 3373337067 10120011201