Search a number
-
+
10212120211314 = 2371408717260291
BaseRepresentation
bin1001010010011011000111…
…0011000010111101110010
31100011021021012211110121010
42110212301303002331302
52314303410233230224
633415214441211350
72102541600366330
oct224466163027562
940137235743533
1010212120211314
113287a326a238a
12118b216490b56
13590cca4ab368
142743aaba0b50
1512a992480e29
hex949b1cc2f72

10212120211314 has 32 divisors (see below), whose sum is σ = 23343647394816. Its totient is φ = 2917541339280.

The previous prime is 10212120211301. The next prime is 10212120211367. The reversal of 10212120211314 is 41311202121201.

10212120211314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8038492 + ... + 9221799.

It is an arithmetic number, because the mean of its divisors is an integer number (729488981088).

Almost surely, 210212120211314 is an apocalyptic number.

10212120211314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10212120211314 is an abundant number, since it is smaller than the sum of its proper divisors (13131527183502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10212120211314 is a wasteful number, since it uses less digits than its factorization.

10212120211314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17274390.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10212120211314 its reverse (41311202121201), we get a palindrome (51523322332515).

The spelling of 10212120211314 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, two hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 14087 28174 42261 84522 98609 197218 295827 591654 17260291 34520582 51780873 103561746 120822037 241644074 362466111 724932222 243145719317 486291438634 729437157951 1458874315902 1702020035219 3404040070438 5106060105657 10212120211314