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106072011222157 is a prime number
BaseRepresentation
bin11000000111100011010000…
…100011001010110010001101
3111220120101101211200012012001
4120013203100203022302031
5102400340434333102112
61013332450444112301
731225310215014511
oct3007432043126215
9456511354605161
10106072011222157
1130885984052672
12ba91571b35691
1347257174c6666
141c29cac794141
15c3e29a6e5c57
hex6078d08cac8d

106072011222157 has 2 divisors, whose sum is σ = 106072011222158. Its totient is φ = 106072011222156.

The previous prime is 106072011222139. The next prime is 106072011222161. The reversal of 106072011222157 is 751222110270601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70713063719236 + 35358947502921 = 8409106^2 + 5946339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106072011222157 is a prime.

It is a super-2 number, since 2×1060720112221572 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106072011222127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53036005611078 + 53036005611079.

It is an arithmetic number, because the mean of its divisors is an integer number (53036005611079).

Almost surely, 2106072011222157 is an apocalyptic number.

It is an amenable number.

106072011222157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106072011222157 is an equidigital number, since it uses as much as digits as its factorization.

106072011222157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 37.

Adding to 106072011222157 its reverse (751222110270601), we get a palindrome (857294121492758).

The spelling of 106072011222157 in words is "one hundred six trillion, seventy-two billion, eleven million, two hundred twenty-two thousand, one hundred fifty-seven".