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101361869381 is a prime number
BaseRepresentation
bin101111001100110100…
…0110110001001000101
3100200122002020110211102
41132121220312021011
53130042114310011
6114322012345445
710215561450113
oct1363150661105
9320562213742
10101361869381
1139a95150793
1217789a75285
1397349ca506
144c97c88ab3
152983a9b73b
hex1799a36245

101361869381 has 2 divisors, whose sum is σ = 101361869382. Its totient is φ = 101361869380.

The previous prime is 101361869359. The next prime is 101361869383. The reversal of 101361869381 is 183968163101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73619968900 + 27741900481 = 271330^2 + 166559^2 .

It is a cyclic number.

It is not a de Polignac number, because 101361869381 - 226 = 101294760517 is a prime.

It is a super-2 number, since 2×1013618693812 (a number of 23 digits) contains 22 as substring.

Together with 101361869383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101361869383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50680934690 + 50680934691.

It is an arithmetic number, because the mean of its divisors is an integer number (50680934691).

Almost surely, 2101361869381 is an apocalyptic number.

It is an amenable number.

101361869381 is a deficient number, since it is larger than the sum of its proper divisors (1).

101361869381 is an equidigital number, since it uses as much as digits as its factorization.

101361869381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 186624, while the sum is 47.

The spelling of 101361869381 in words is "one hundred one billion, three hundred sixty-one million, eight hundred sixty-nine thousand, three hundred eighty-one".