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20223031122 = 23271712497559
BaseRepresentation
bin10010110101011000…
…101111011101010010
31221012101012102102200
4102311120233131102
5312404043443442
613142413424030
71314100633260
oct226530573522
957171172380
1020223031122
118638412668
123b0479b016
131ba3966c08
14d9bb81430
157d562434c
hex4b562f752

20223031122 has 96 divisors (see below), whose sum is σ = 53071200000. Its totient is φ = 5433053184.

The previous prime is 20223031111. The next prime is 20223031123. The reversal of 20223031122 is 22113032202.

It is a super-2 number, since 2×202230311222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20223031095 and 20223031104.

It is not an unprimeable number, because it can be changed into a prime (20223031123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2671579 + ... + 2679137.

It is an arithmetic number, because the mean of its divisors is an integer number (552825000).

Almost surely, 220223031122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20223031122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600000).

20223031122 is an abundant number, since it is smaller than the sum of its proper divisors (32848168878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20223031122 is a wasteful number, since it uses less digits than its factorization.

20223031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20223031122 its reverse (22113032202), we get a palindrome (42336063324).

The spelling of 20223031122 in words is "twenty billion, two hundred twenty-three million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 1249 2142 2498 3747 7494 7559 8743 11241 15118 17486 21233 22482 22677 26229 42466 45354 52458 52913 63699 68031 78687 105826 127398 128503 136062 148631 157374 158739 191097 257006 297262 317478 382194 385509 445893 476217 771018 891786 899521 952434 1156527 1337679 1799042 2313054 2675358 2698563 5397126 8095689 9441191 16191378 18882382 28323573 56647146 66088337 84970719 132176674 160500247 169941438 198265011 321000494 396530022 481500741 594795033 963001482 1123501729 1189590066 1444502223 2247003458 2889004446 3370505187 6741010374 10111515561 20223031122