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72122222127 = 3157153125737
BaseRepresentation
bin100001100101011010…
…0011100011000101111
320220011022200111100010
41003022310130120233
52140201242102002
653044341304303
75132153526114
oct1031264343057
9226138614303
1072122222127
1128650128a5a
1211b89705093
136a550161a7
1436c280890b
151d21ab746c
hex10cad1c62f

72122222127 has 8 divisors (see below), whose sum is σ = 96775466416. Its totient is φ = 47775229632.

The previous prime is 72122222119. The next prime is 72122222153.

72122222127 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72122222127 - 23 = 72122222119 is a prime.

It is a super-2 number, since 2×721222221272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72122222094 and 72122222103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72122222177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76562398 + ... + 76563339.

It is an arithmetic number, because the mean of its divisors is an integer number (12096933302).

Almost surely, 272122222127 is an apocalyptic number.

72122222127 is a deficient number, since it is larger than the sum of its proper divisors (24653244289).

72122222127 is a wasteful number, since it uses less digits than its factorization.

72122222127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153125897.

The product of its digits is 6272, while the sum is 30.

The spelling of 72122222127 in words is "seventy-two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-seven".

Divisors: 1 3 157 471 153125737 459377211 24040740709 72122222127