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211120201131 = 37471811181773
BaseRepresentation
bin1100010010011110111…
…1101001110110101011
3202011221022220102200120
43010213233221312223
511424333232414011
6240553130334323
721152520046320
oct3044757516653
9664838812616
10211120201131
1181598938974
1234abb88a3a3
1316ba7111148
14a30ad20b47
155759858a06
hex3127be9dab

211120201131 has 32 divisors (see below), whose sum is σ = 330367285248. Its totient is φ = 117420865920.

The previous prime is 211120201109. The next prime is 211120201151. The reversal of 211120201131 is 131102021112.

It is not a de Polignac number, because 211120201131 - 29 = 211120200619 is a prime.

It is a super-2 number, since 2×2111202011312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211120201131.

It is not an unprimeable number, because it can be changed into a prime (211120201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412240 + ... + 769533.

It is an arithmetic number, because the mean of its divisors is an integer number (10323977664).

Almost surely, 2211120201131 is an apocalyptic number.

211120201131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211120201131 is a deficient number, since it is larger than the sum of its proper divisors (119247084117).

211120201131 is a wasteful number, since it uses less digits than its factorization.

211120201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182011.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211120201131 its reverse (131102021112), we get a palindrome (342222222243).

The spelling of 211120201131 in words is "two hundred eleven billion, one hundred twenty million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 47 141 181 329 543 987 1267 3801 8507 25521 59549 178647 1181773 3545319 8272411 24817233 55543331 166629993 213900913 388803317 641702739 1166409951 1497306391 4491919173 10053342911 30160028733 70373400377 211120201131