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72272306722131 = 3213794162290127
BaseRepresentation
bin10000011011101100110101…
…001010110101010101010011
3100110220011110022121101000200
4100123230311022311111103
533433102141010102011
6413413234522350243
721136334064054135
oct2033546512652523
9313804408541020
1072272306722131
11210345710116aa
128132a3535b383
133143331891609
1413bbdd950b055
15854e7dd06856
hex41bb352b5553

72272306722131 has 24 divisors (see below), whose sum is σ = 105267077233344. Its totient is φ = 47779018247040.

The previous prime is 72272306722129. The next prime is 72272306722151. The reversal of 72272306722131 is 13122760327227.

72272306722131 is a `hidden beast` number, since 7 + 2 + 272 + 306 + 72 + 2 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 72272306722131 - 21 = 72272306722129 is a prime.

It is a super-2 number, since 2×722723067221312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72272306722151) 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, 29984811 + ... + 32305316.

It is an arithmetic number, because the mean of its divisors is an integer number (4386128218056).

Almost surely, 272272306722131 is an apocalyptic number.

72272306722131 is a deficient number, since it is larger than the sum of its proper divisors (32994770511213).

72272306722131 is a wasteful number, since it uses less digits than its factorization.

72272306722131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62291211 (or 62291208 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 72272306722131 in words is "seventy-two trillion, two hundred seventy-two billion, three hundred six million, seven hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 137 411 941 1233 2823 8469 128917 386751 1160253 62290127 186870381 560611143 8533747399 25601242197 58615009507 76803726591 175845028521 527535085563 8030256302459 24090768907377 72272306722131