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2011972118381 is a prime number
BaseRepresentation
bin11101010001110010111…
…000100010011101101101
321010100020210111110220222
4131101302320202131231
5230431004330242011
64140142013021125
7265234354555211
oct35216270423555
97110223443828
102011972118381
117062aa8995a5
12285b254847a5
131179609b61a4
146d5468d0941
1537509091ddb
hex1d472e2276d

2011972118381 has 2 divisors, whose sum is σ = 2011972118382. Its totient is φ = 2011972118380.

The previous prime is 2011972118339. The next prime is 2011972118383. The reversal of 2011972118381 is 1838112791102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1521685076356 + 490287042025 = 1233566^2 + 700205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2011972118381 is a prime.

It is a super-2 number, since 2×20119721183812 (a number of 25 digits) contains 22 as substring.

Together with 2011972118383, 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 (2011972118383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005986059190 + 1005986059191.

It is an arithmetic number, because the mean of its divisors is an integer number (1005986059191).

Almost surely, 22011972118381 is an apocalyptic number.

It is an amenable number.

2011972118381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011972118381 is an equidigital number, since it uses as much as digits as its factorization.

2011972118381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 44.

The spelling of 2011972118381 in words is "two trillion, eleven billion, nine hundred seventy-two million, one hundred eighteen thousand, three hundred eighty-one".