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20111322 = 23711101431
BaseRepresentation
bin100110010110…
…1111111011010
31101211202112210
41030231333122
520122030242
61555015550
7332641410
oct114557732
941752483
1020111322
1110396a30
12689a5b6
134221cba
1429572b0
151b73d9c
hex132dfda

20111322 has 64 divisors (see below), whose sum is σ = 50761728. Its totient is φ = 5160000.

The previous prime is 20111317. The next prime is 20111359. The reversal of 20111322 is 22311102.

It is a junction number, because it is equal to n+sod(n) for n = 20111298 and 20111307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46447 + ... + 46877.

It is an arithmetic number, because the mean of its divisors is an integer number (793152).

Almost surely, 220111322 is an apocalyptic number.

20111322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380864).

20111322 is an abundant number, since it is smaller than the sum of its proper divisors (30650406).

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

20111322 is a wasteful number, since it uses less digits than its factorization.

20111322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 20111322 is about 4484.5648618344. The cubic root of 20111322 is about 271.9444541276.

Adding to 20111322 its reverse (22311102), we get a palindrome (42422424).

It can be divided in two parts, 2011 and 1322, that added together give a palindrome (3333).

The spelling of 20111322 in words is "twenty million, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 431 462 606 707 862 1111 1293 1414 2121 2222 2586 3017 3333 4242 4741 6034 6666 7777 9051 9482 14223 15554 18102 23331 28446 33187 43531 46662 66374 87062 99561 130593 199122 261186 304717 478841 609434 914151 957682 1436523 1828302 2873046 3351887 6703774 10055661 20111322