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22101013121 = 1121733105397
BaseRepresentation
bin10100100101010100…
…101011001010000001
32010001020221210102112
4110211110223022001
5330230324404441
614053021225105
71411453340405
oct244524531201
963036853375
1022101013121
11941149a300
124349702195
132112a5b975
1410d9357105
158954334eb
hex52552b281

22101013121 has 12 divisors (see below), whose sum is σ = 24307097556. Its totient is φ = 20080045920.

The previous prime is 22101013097. The next prime is 22101013157. The reversal of 22101013121 is 12131010122.

It can be written as a sum of positive squares in 2 ways, for example, as 7323936400 + 14777076721 = 85580^2 + 121561^2 .

It is not a de Polignac number, because 22101013121 - 218 = 22100750977 is a prime.

It is a super-2 number, since 2×221010131212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22101013096 and 22101013105.

It is not an unprimeable number, because it can be changed into a prime (22101013321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156995 + ... + 262391.

It is an arithmetic number, because the mean of its divisors is an integer number (2025591463).

Almost surely, 222101013121 is an apocalyptic number.

It is an amenable number.

22101013121 is a deficient number, since it is larger than the sum of its proper divisors (2206084435).

22101013121 is a wasteful number, since it uses less digits than its factorization.

22101013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107152 (or 107141 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 22101013121 its reverse (12131010122), we get a palindrome (34232023243).

The spelling of 22101013121 in words is "twenty-two billion, one hundred one million, thirteen thousand, one hundred twenty-one".

Divisors: 1 11 121 1733 19063 105397 209693 1159367 12753037 182653001 2009183011 22101013121