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22311133131 = 374567232633
BaseRepresentation
bin10100110001110110…
…001101111111001011
32010120220022222220010
4110301312031333023
5331143122230011
614125525003003
71416614334240
oct246166157713
963526288803
1022311133131
11950a064601
1243a7b53463
13214744a331
1411192115c7
158a8adb1a6
hex531d8dfcb

22311133131 has 16 divisors (see below), whose sum is σ = 34005507584. Its totient is φ = 12746372544.

The previous prime is 22311133127. The next prime is 22311133157. The reversal of 22311133131 is 13133111322.

It is a happy number.

It is not a de Polignac number, because 22311133131 - 22 = 22311133127 is a prime.

It is a super-3 number, since 3×223111331313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22311133098 and 22311133107.

It is not an unprimeable number, because it can be changed into a prime (22311133231) 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, 20410 + ... + 212223.

It is an arithmetic number, because the mean of its divisors is an integer number (2125344224).

Almost surely, 222311133131 is an apocalyptic number.

22311133131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22311133131 is a deficient number, since it is larger than the sum of its proper divisors (11694374453).

22311133131 is a wasteful number, since it uses less digits than its factorization.

22311133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237210.

The product of its digits is 324, while the sum is 21.

Adding to 22311133131 its reverse (13133111322), we get a palindrome (35444244453).

The spelling of 22311133131 in words is "twenty-two billion, three hundred eleven million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 4567 13701 31969 95907 232633 697899 1628431 4885293 1062434911 3187304733 7437044377 22311133131