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22010101311331 = 7171061174325009
BaseRepresentation
bin1010000000100101000000…
…10001010010011101100011
32212221010220210201010202201
411000102200101102131203
510341103141413430311
6114451145001154031
74431114554165140
oct500224021223543
985833823633681
1022010101311331
11701648242a601
12257585648b917
13c3870b517bb3
1456141a4c33c7
152827eea849c1
hex1404a0452763

22010101311331 has 16 divisors (see below), whose sum is σ = 26659175129280. Its totient is φ = 17739312814080.

The previous prime is 22010101311329. The next prime is 22010101311349. The reversal of 22010101311331 is 13311310101022.

It is a cyclic number.

It is not a de Polignac number, because 22010101311331 - 21 = 22010101311329 is a prime.

It is a super-2 number, since 2×220101013113312 (a number of 27 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 = 22010101311299 and 22010101311308.

It is not an unprimeable number, because it can be changed into a prime (22010101371331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87036246 + ... + 87288763.

It is an arithmetic number, because the mean of its divisors is an integer number (1666198445580).

Almost surely, 222010101311331 is an apocalyptic number.

22010101311331 is a deficient number, since it is larger than the sum of its proper divisors (4649073817949).

22010101311331 is a wasteful number, since it uses less digits than its factorization.

22010101311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174326094.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 22010101311331 its reverse (13311310101022), we get a palindrome (35321411412353).

The spelling of 22010101311331 in words is "twenty-two trillion, ten billion, one hundred one million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 7 17 119 1061 7427 18037 126259 174325009 1220275063 2963525153 20744676071 184958834549 1294711841843 3144300187333 22010101311331