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73219113231 = 31147103458327
BaseRepresentation
bin100010000110000110…
…0110000000100001111
320222222202200100001120
41010030030300010033
52144423043110411
653345243412023
75201303123265
oct1041414600417
9228882610046
1073219113231
112906330a530
1212234b24013
136b9b348a94
143788378435
151d88037106
hex110c33010f

73219113231 has 32 divisors (see below), whose sum is σ = 109822722048. Its totient is φ = 43009311840.

The previous prime is 73219113229. The next prime is 73219113257. The reversal of 73219113231 is 13231191237.

It is not a de Polignac number, because 73219113231 - 21 = 73219113229 is a prime.

It is a super-2 number, since 2×732191132312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73219113192 and 73219113201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73219113281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69411 + ... + 388916.

It is an arithmetic number, because the mean of its divisors is an integer number (3431960064).

Almost surely, 273219113231 is an apocalyptic number.

73219113231 is a deficient number, since it is larger than the sum of its proper divisors (36603608817).

73219113231 is a wasteful number, since it uses less digits than its factorization.

73219113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458491.

The product of its digits is 6804, while the sum is 33.

The spelling of 73219113231 in words is "seventy-three billion, two hundred nineteen million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 11 33 47 103 141 309 517 1133 1551 3399 4841 14523 53251 159753 458327 1374981 5041597 15124791 21541369 47207681 64624107 141623043 236955059 519284491 710865177 1557853473 2218761007 6656283021 24406371077 73219113231