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211877147381 is a prime number
BaseRepresentation
bin1100010101010011011…
…1001011001011110101
3202020220002020021201212
43011110313023023311
511432411022204011
6241200210331205
721210341015564
oct3052467131365
9666802207655
10211877147381
1181947142889
1235091289b05
1316c97b9b533
14a37d67dbdb
1557a102908b
hex3154dcb2f5

211877147381 has 2 divisors, whose sum is σ = 211877147382. Its totient is φ = 211877147380.

The previous prime is 211877147347. The next prime is 211877147407. The reversal of 211877147381 is 183741778112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118949112100 + 92928035281 = 344890^2 + 304841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211877147381 is a prime.

It is a super-2 number, since 2×2118771473812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211877147281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105938573690 + 105938573691.

It is an arithmetic number, because the mean of its divisors is an integer number (105938573691).

Almost surely, 2211877147381 is an apocalyptic number.

It is an amenable number.

211877147381 is a deficient number, since it is larger than the sum of its proper divisors (1).

211877147381 is an equidigital number, since it uses as much as digits as its factorization.

211877147381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 526848, while the sum is 50.

The spelling of 211877147381 in words is "two hundred eleven billion, eight hundred seventy-seven million, one hundred forty-seven thousand, three hundred eighty-one".