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101214187537 is a prime number
BaseRepresentation
bin101111001000011010…
…1011111000000010001
3100200020210100110102111
41132100311133000101
53124241313000122
6114255215145321
710212116253601
oct1362065370021
9320223313374
10101214187537
1139a19852181
1217748515241
1397102307c8
144c82404c01
152975b28d77
hex1790d5f011

101214187537 has 2 divisors, whose sum is σ = 101214187538. Its totient is φ = 101214187536.

The previous prime is 101214187531. The next prime is 101214187541. The reversal of 101214187537 is 735781412101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59008183056 + 42206004481 = 242916^2 + 205441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101214187537 is a prime.

It is a super-2 number, since 2×1012141875372 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101214187537.

It is not a weakly prime, because it can be changed into another prime (101214187531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50607093768 + 50607093769.

It is an arithmetic number, because the mean of its divisors is an integer number (50607093769).

Almost surely, 2101214187537 is an apocalyptic number.

It is an amenable number.

101214187537 is a deficient number, since it is larger than the sum of its proper divisors (1).

101214187537 is an equidigital number, since it uses as much as digits as its factorization.

101214187537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 40.

Adding to 101214187537 its reverse (735781412101), we get a palindrome (836995599638).

The spelling of 101214187537 in words is "one hundred one billion, two hundred fourteen million, one hundred eighty-seven thousand, five hundred thirty-seven".