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110010222111101 = 13213139731194013
BaseRepresentation
bin11001000000110111000000…
…001101011110100101111101
3112102111212121112020211101112
4121000313000031132211331
5103404401413330023401
61025545555351051405
732112655600156664
oct3100670015364575
9472455545224345
10110010222111101
113206408946a5a4
1210408874970b65
13494cbc4cb8200
141d2474779dddb
15cab941d463bb
hex640dc035e97d

110010222111101 has 48 divisors (see below), whose sum is σ = 120403761603840. Its totient is φ = 100461618766080.

The previous prime is 110010222111089. The next prime is 110010222111109. The reversal of 110010222111101 is 101111222010011.

It is a de Polignac number, because none of the positive numbers 2k-110010222111101 is a prime.

It is a super-2 number, since 2×1100102221111012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010222111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27413459771 + ... + 27413463783.

It is an arithmetic number, because the mean of its divisors is an integer number (2508411700080).

Almost surely, 2110010222111101 is an apocalyptic number.

It is an amenable number.

110010222111101 is a deficient number, since it is larger than the sum of its proper divisors (10393539492739).

110010222111101 is a wasteful number, since it uses less digits than its factorization.

110010222111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7673 counting only the distinct ones).

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

Adding to 110010222111101 its reverse (101111222010011), we get a palindrome (211121444121112).

The spelling of 110010222111101 in words is "one hundred ten trillion, ten billion, two hundred twenty-two million, one hundred eleven thousand, one hundred one".

Divisors: 1 13 131 169 397 1703 3119 4013 5161 22139 40547 52007 52169 67093 408589 525703 527111 676091 678197 1238243 1593161 5311657 6834139 8789183 12516547 16097159 20711093 69051541 88843807 162209833 162715111 208704091 209263067 269244209 1639667657 2108727829 2115296443 2713153183 4969069159 21315679541 27413461777 35270991379 64597899067 277103834033 650948059829 839772687871 8462324777777 110010222111101