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212761101 = 3710131481
BaseRepresentation
bin11001010111001…
…11101000001101
3112211100101100210
430223213220031
5413431323401
633040113033
75162303520
oct1453475015
9484311323
10212761101
11aa109623
125b305779
1335104857
1420384bb7
1513a2a4d6
hexcae7a0d

212761101 has 8 divisors (see below), whose sum is σ = 324207424. Its totient is φ = 121577760.

The previous prime is 212761099. The next prime is 212761127. The reversal of 212761101 is 101167212.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212761101 - 21 = 212761099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10131481 = 212761101 / (2 + 1 + 2 + 7 + 6 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212761501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5065720 + ... + 5065761.

It is an arithmetic number, because the mean of its divisors is an integer number (40525928).

Almost surely, 2212761101 is an apocalyptic number.

212761101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212761101 is a deficient number, since it is larger than the sum of its proper divisors (111446323).

212761101 is a wasteful number, since it uses less digits than its factorization.

212761101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131491.

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 212761101 is about 14586.3326782300. The cubic root of 212761101 is about 596.9859035024.

The spelling of 212761101 in words is "two hundred twelve million, seven hundred sixty-one thousand, one hundred one".

Divisors: 1 3 7 21 10131481 30394443 70920367 212761101