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122220011111011 = 112931101734916651
BaseRepresentation
bin11011110010100010010000…
…010110001100001001100011
3121000202010012201100100002121
4123302202100112030021203
5112004423040321023021
61111535033055325111
734513050545240602
oct3362422026141143
9530663181310077
10122220011111011
1135a41241004070
121185b082520797
1353273b3a782a8
1422276a1579a39
15e1e3527ba741
hex6f289058c263

122220011111011 has 64 divisors (see below), whose sum is σ = 143815730688000. Its totient is φ = 102769128000000.

The previous prime is 122220011110999. The next prime is 122220011111063. The reversal of 122220011111011 is 110111110022221.

It is not a de Polignac number, because 122220011111011 - 217 = 122220010979939 is a prime.

It is a super-2 number, since 2×1222200111110112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122220011111071) 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, 7340092036 + ... + 7340108686.

It is an arithmetic number, because the mean of its divisors is an integer number (2247120792000).

Almost surely, 2122220011111011 is an apocalyptic number.

122220011111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122220011111011 is a deficient number, since it is larger than the sum of its proper divisors (21595719576989).

122220011111011 is a wasteful number, since it uses less digits than its factorization.

122220011111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24172.

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

Adding to 122220011111011 its reverse (110111110022221), we get a palindrome (232331121133232).

The spelling of 122220011111011 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, one hundred eleven thousand, eleven".

Divisors: 1 11 29 31 101 319 341 899 1111 2929 3131 7349 9889 16651 32219 34441 80839 90799 183161 213121 227819 482879 516181 742249 998789 1681751 2344331 2506009 5311669 5677991 6606751 8164739 14969249 18499261 21525221 23009719 48770779 52134281 72674261 122368199 164661739 236777431 253106909 536478569 573477091 667281851 1346050189 1511894149 3548677771 3793414169 7340100361 12359188099 16630835639 39035455481 41727555859 110009010901 135951069089 358416454871 383134831069 1210099119911 3942581003581 4214483141759 11110910101001 122220011111011