Search a number
-
+
10012201012021 = 135368321275983
BaseRepresentation
bin1001000110110010010110…
…1011110100101100110101
31022110011020111120212211111
42101230211223310230311
52303014441424341041
633143312555035021
72052233450262025
oct221544553645465
938404214525744
1010012201012021
1132101724a9a2a
121158521a3ba71
135781b9b3cb70
14268843713a85
1512569116c981
hex91b25af4b35

10012201012021 has 16 divisors (see below), whose sum is σ = 11001896430336. Its totient is φ = 9054377107776.

The previous prime is 10012201012013. The next prime is 10012201012031. The reversal of 10012201012021 is 12021010221001.

It is not a de Polignac number, because 10012201012021 - 23 = 10012201012013 is a prime.

It is a super-2 number, since 2×100122010120212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012201011992 and 10012201012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012201012031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10167405 + ... + 11108578.

It is an arithmetic number, because the mean of its divisors is an integer number (687618526896).

Almost surely, 210012201012021 is an apocalyptic number.

It is an amenable number.

10012201012021 is a deficient number, since it is larger than the sum of its proper divisors (989695418315).

10012201012021 is a wasteful number, since it uses less digits than its factorization.

10012201012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21276732.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012201012021 its reverse (12021010221001), we get a palindrome (22033211233022).

The spelling of 10012201012021 in words is "ten trillion, twelve billion, two hundred one million, twelve thousand, twenty-one".

Divisors: 1 13 53 683 689 8879 36199 470587 21275983 276587779 1127627099 14531496389 14659152287 188909453057 770169308617 10012201012021