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22141241031 = 37131718232617
BaseRepresentation
bin10100100111101110…
…001000011011000111
32010011001122120202010
4110213232020123013
5330321124203111
614101015345303
71412452305060
oct244756103307
963131576663
1022141241031
119432176108
12435b082233
13211b1a5170
141100829567
15898c2caa6
hex527b886c7

22141241031 has 64 divisors (see below), whose sum is σ = 38507470848. Its totient is φ = 10981675008.

The previous prime is 22141240999. The next prime is 22141241039. The reversal of 22141241031 is 13014214122.

It is not a de Polignac number, because 22141241031 - 25 = 22141240999 is a prime.

It is a super-2 number, since 2×221412410312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22141240989 and 22141241007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141241039) 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, 8459235 + ... + 8461851.

It is an arithmetic number, because the mean of its divisors is an integer number (601679232).

Almost surely, 222141241031 is an apocalyptic number.

22141241031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22141241031 is a deficient number, since it is larger than the sum of its proper divisors (16366229817).

22141241031 is a wasteful number, since it uses less digits than its factorization.

22141241031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22141241031 its reverse (13014214122), we get a palindrome (35155455153).

The spelling of 22141241031 in words is "twenty-two billion, one hundred forty-one million, two hundred forty-one thousand, thirty-one".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 1823 2617 4641 5469 7851 12761 18319 23699 30991 34021 38283 44489 54957 71097 92973 102063 133467 165893 216937 238147 311423 402883 497679 578357 650811 714441 934269 1208649 1735071 2820181 4048499 4770791 8460543 12145497 14312373 33395537 62020283 81103447 100186611 186060849 243310341 434141981 567724129 1054344811 1302425943 1703172387 3163034433 7380413677 22141241031