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72101015953 is a prime number
BaseRepresentation
bin100001100100110001…
…1100011000110010001
320220002211210002221021
41003021203203012101
52140130330002303
653042302555441
75131505344411
oct1031143430621
9226084702837
1072101015953
112863a16449a
1211b82598b81
136a507cca65
1436bda88641
151d1ecc8ebd
hex10c98e3191

72101015953 has 2 divisors, whose sum is σ = 72101015954. Its totient is φ = 72101015952.

The previous prime is 72101015951. The next prime is 72101016017. The reversal of 72101015953 is 35951010127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72064328704 + 36687249 = 268448^2 + 6057^2 .

It is a cyclic number.

It is not a de Polignac number, because 72101015953 - 21 = 72101015951 is a prime.

Together with 72101015951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72101015951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36050507976 + 36050507977.

It is an arithmetic number, because the mean of its divisors is an integer number (36050507977).

Almost surely, 272101015953 is an apocalyptic number.

It is an amenable number.

72101015953 is a deficient number, since it is larger than the sum of its proper divisors (1).

72101015953 is an equidigital number, since it uses as much as digits as its factorization.

72101015953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 34.

The spelling of 72101015953 in words is "seventy-two billion, one hundred one million, fifteen thousand, nine hundred fifty-three".