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10111222121 = 71113671071409
BaseRepresentation
bin10010110101010110…
…10000000101101001
3222002200001022012012
421122223100011221
5131201433101441
64351154325305
7505364653460
oct113253200551
928080038165
1010111222121
114319580920
121b62289835
13c51a5cb90
146bcc359d7
153e2a2c9eb
hex25aad0169

10111222121 has 64 divisors (see below), whose sum is σ = 13917173760. Its totient is φ = 7092264960.

The previous prime is 10111222111. The next prime is 10111222123. The reversal of 10111222121 is 12122211101.

It is a de Polignac number, because none of the positive numbers 2k-10111222121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111222096 and 10111222105.

It is not an unprimeable number, because it can be changed into a prime (10111222123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7175465 + ... + 7176873.

It is an arithmetic number, because the mean of its divisors is an integer number (217455840).

Almost surely, 210111222121 is an apocalyptic number.

10111222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111222121 is a deficient number, since it is larger than the sum of its proper divisors (3805951639).

10111222121 is a wasteful number, since it uses less digits than its factorization.

10111222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10111222121 its reverse (12122211101), we get a palindrome (22233433222).

It can be divided in two parts, 10111 and 222121, that added together give a palindrome (232232).

The spelling of 10111222121 in words is "ten billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 67 77 91 107 143 469 737 749 871 1001 1177 1391 1409 5159 6097 7169 8239 9581 9737 9863 15301 15499 18317 50183 67067 78859 93197 94403 107107 108493 128219 150763 201487 552013 652379 660821 1025167 1038433 1055341 1227239 1410409 1658393 1959919 7176169 7269031 8590673 10101121 11608751 13499629 13719433 21559109 70707847 94497403 111112331 131314573 150913763 777786317 919202011 1444460303 10111222121