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22311211200030 = 2325423735850479
BaseRepresentation
bin1010001001010101110111…
…10100010110111000011110
32220222221010200002100120200
411010222323310112320132
510411021330031400110
6115241343503124330
74461634420050564
oct504527364267036
986887120070520
1022311211200030
11712214a085695
12260408b5a36a6
13c5ac2727a47c
14571c22bb9a34
1528a5748ce6c0
hex144abbd16e1e

22311211200030 has 48 divisors (see below), whose sum is σ = 58010528047680. Its totient is φ = 5949514891584.

The previous prime is 22311211199983. The next prime is 22311211200037. The reversal of 22311211200030 is 3000211211322.

22311211200030 is a `hidden beast` number, since 223 + 1 + 1 + 211 + 200 + 0 + 30 = 666.

It is a super-3 number, since 3×223112112000303 (a number of 41 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 22311211199976 and 22311211200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22311211200037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888331 + ... + 6738809.

It is an arithmetic number, because the mean of its divisors is an integer number (1208552667660).

Almost surely, 222311211200030 is an apocalyptic number.

22311211200030 is an abundant number, since it is smaller than the sum of its proper divisors (35699316847650).

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

22311211200030 is a wasteful number, since it uses less digits than its factorization.

22311211200030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892865 (or 5892862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22311211200030 its reverse (3000211211322), we get a palindrome (25311422411352).

The spelling of 22311211200030 in words is "twenty-two trillion, three hundred eleven billion, two hundred eleven million, two hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 42373 84746 127119 211865 254238 381357 423730 635595 762714 1271190 1906785 3813570 5850479 11700958 17551437 29252395 35102874 52654311 58504790 87757185 105308622 175514370 263271555 526543110 247902346667 495804693334 743707040001 1239511733335 1487414080002 2231121120003 2479023466670 3718535200005 4462242240006 7437070400010 11155605600015 22311211200030