Search a number
-
+
10211020112111 = 713223709709703
BaseRepresentation
bin1001010010010111000000…
…1110100000000011101111
31100011011102112210122012012
42110211300032200003233
52314244132122041421
633414513342231435
72102502411611120
oct224456016400357
940134375718165
1010211020112111
11328751871a595
12118ab69b8557b
13590b835c44a0
14274304a38047
1512a92aaca95b
hex949703a00ef

10211020112111 has 32 divisors (see below), whose sum is σ = 12641588305920. Its totient is φ = 8031464751744.

The previous prime is 10211020112063. The next prime is 10211020112123. The reversal of 10211020112111 is 11121102011201.

It is not a de Polignac number, because 10211020112111 - 210 = 10211020111087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211020111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14032886 + ... + 14742588.

It is an arithmetic number, because the mean of its divisors is an integer number (395049634560).

Almost surely, 210211020112111 is an apocalyptic number.

10211020112111 is a deficient number, since it is larger than the sum of its proper divisors (2430568193809).

10211020112111 is a wasteful number, since it uses less digits than its factorization.

10211020112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710655.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10211020112111 its reverse (11121102011201), we get a palindrome (21332122123312).

The spelling of 10211020112111 in words is "ten trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 7 13 91 223 709 1561 2899 4963 9217 20293 64519 158107 709703 1106749 2055391 4967921 9226139 14387737 64582973 158263769 503179427 1107846383 2057428997 3522255989 6541332551 14402002979 45789327857 112209012221 785463085547 1458717158873 10211020112111