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22313441210031 = 3213917836483781
BaseRepresentation
bin1010001001011010000001…
…01111001010111010101111
32221000010220002020121012200
411010231000233022322233
510411040411422210111
6115242353044032543
74462043605606506
oct504550057127257
987003802217180
1022313441210031
117123093942164
1226045b2392753
13c5b1c128850a
14571d9502983d
1528a655578256
hex144b40bcaeaf

22313441210031 has 12 divisors (see below), whose sum is σ = 32462400483240. Its totient is φ = 14768608569840.

The previous prime is 22313441209993. The next prime is 22313441210041. The reversal of 22313441210031 is 13001214431322.

22313441210031 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 441 + 210 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 22313441210031 - 29 = 22313441209519 is a prime.

It is a super-3 number, since 3×223134412100313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22313441209977 and 22313441210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313441210041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8918240640 + ... + 8918243141.

It is an arithmetic number, because the mean of its divisors is an integer number (2705200040270).

Almost surely, 222313441210031 is an apocalyptic number.

22313441210031 is a deficient number, since it is larger than the sum of its proper divisors (10148959273209).

22313441210031 is a wasteful number, since it uses less digits than its factorization.

22313441210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17836483926 (or 17836483923 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22313441210031 its reverse (13001214431322), we get a palindrome (35314655641353).

The spelling of 22313441210031 in words is "twenty-two trillion, three hundred thirteen billion, four hundred forty-one million, two hundred ten thousand, thirty-one".

Divisors: 1 3 9 139 417 1251 17836483781 53509451343 160528354029 2479271245559 7437813736677 22313441210031