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10011211214313 = 322334743125191
BaseRepresentation
bin1001000110101110101010…
…1100000010110111101001
31022110001200112002221122010
42101223222230002313221
52303010430032324223
633143030440150133
72052200101162311
oct221535254026751
938401615087563
1010011211214313
11320a8048142a1
1211582a6468349
1357808ca6564a
1426878c0a0441
15125634304393
hex91aeab02de9

10011211214313 has 16 divisors (see below), whose sum is σ = 13446779867136. Its totient is φ = 6625064188560.

The previous prime is 10011211214297. The next prime is 10011211214317. The reversal of 10011211214313 is 31341211211001.

It is a happy number.

10011211214313 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 10011211214313 - 24 = 10011211214297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011211214313.

It is not an unprimeable number, because it can be changed into a prime (10011211214317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21330453 + ... + 21794738.

It is an arithmetic number, because the mean of its divisors is an integer number (840423741696).

Almost surely, 210011211214313 is an apocalyptic number.

It is an amenable number.

10011211214313 is a deficient number, since it is larger than the sum of its proper divisors (3435568652823).

10011211214313 is a wasteful number, since it uses less digits than its factorization.

10011211214313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43125764.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10011211214313 its reverse (31341211211001), we get a palindrome (41352422425314).

The spelling of 10011211214313 in words is "ten trillion, eleven billion, two hundred eleven million, two hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 223 347 669 1041 77381 232143 43125191 129375573 9616917593 14964441277 28850752779 44893323831 3337070404771 10011211214313