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22313322003031 = 7315723927130059
BaseRepresentation
bin1010001001011001110011…
…01000011011101001010111
32221000010120202221020221121
411010230321220123221113
510411040140413044111
6115242333145024411
74462040630430313
oct504547150335127
987003522836847
1022313322003031
117123032622184
12260457a485107
13c5b1a267b527
14571d83278b43
1528a649d7c871
hex144b39a1ba57

22313322003031 has 32 divisors (see below), whose sum is σ = 22943408025600. Its totient is φ = 21694912162560.

The previous prime is 22313322003029. The next prime is 22313322003083. The reversal of 22313322003031 is 13030022331322.

It is a cyclic number.

It is not a de Polignac number, because 22313322003031 - 21 = 22313322003029 is a prime.

It is a super-3 number, since 3×223133220030313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22313322002987 and 22313322003005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313322009031) 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 31 ways as a sum of consecutive naturals, for example, 742302480 + ... + 742332538.

It is an arithmetic number, because the mean of its divisors is an integer number (716981500800).

Almost surely, 222313322003031 is an apocalyptic number.

22313322003031 is a deficient number, since it is larger than the sum of its proper divisors (630086022569).

22313322003031 is a wasteful number, since it uses less digits than its factorization.

22313322003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30799.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 22313322003031 its reverse (13030022331322), we get a palindrome (35343344334353).

The spelling of 22313322003031 in words is "twenty-two trillion, three hundred thirteen billion, three hundred twenty-two million, three thousand, thirty-one".

Divisors: 1 73 157 239 271 11461 17447 19783 30059 37523 42547 64769 2194307 2739179 3105931 4719263 4728137 7184101 8145989 10168733 344506199 524439373 594657197 742317509 1127903857 1278920273 1946891371 82336981561 93361179929 142123070083 305661945247 22313322003031