Search a number
-
+
1121201211195 = 335131098758147
BaseRepresentation
bin10000010100001100110…
…011001100011100111011
310222012000102212212222000
4100110030303030130323
5121332210002224240
62215023413032043
7144001261022622
oct20241463143473
93865012785860
101121201211195
113a255394383a
12161368025623
13819622ac760
143c3a31166b9
151e271de6430
hex1050cccc73b

1121201211195 has 64 divisors (see below), whose sum is σ = 2146805552640. Its totient is φ = 551916249984.

The previous prime is 1121201211161. The next prime is 1121201211241. The reversal of 1121201211195 is 5911121021211.

It is not a de Polignac number, because 1121201211195 - 26 = 1121201211131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19253112 + ... + 19311258.

It is an arithmetic number, because the mean of its divisors is an integer number (33543836760).

Almost surely, 21121201211195 is an apocalyptic number.

1121201211195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1121201211195 is a deficient number, since it is larger than the sum of its proper divisors (1025604341445).

1121201211195 is a wasteful number, since it uses less digits than its factorization.

1121201211195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69161 (or 69155 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 1121201211195 in words is "one trillion, one hundred twenty-one billion, two hundred one million, two hundred eleven thousand, one hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 10987 32961 54935 58147 98883 142831 164805 174441 290735 296649 428493 494415 523323 714155 755911 872205 1285479 1483245 1569969 2142465 2267733 2616615 3779555 3856437 6427395 6803199 7849845 11338665 19282185 20409597 34015995 102047985 638861089 1916583267 3194305445 5749749801 8305194157 9582916335 17249249403 24915582471 28748749005 41525970785 74746747413 86246247015 124577912355 224240242239 373733737065 1121201211195