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312120222101 = 3971693464381
BaseRepresentation
bin1001000101010111101…
…00001010000110010101
31002211122012021002210222
410202223310022012111
520103210234101401
6355215215324125
731356426054002
oct4425364120625
91084565232728
10312120222101
11110407801586
12505a8520645
1323581b6746c
141116cad68a9
1581bb77ac1b
hex48abd0a195

312120222101 has 8 divisors (see below), whose sum is σ = 313091916984. Its totient is φ = 311149460160.

The previous prime is 312120222079. The next prime is 312120222103. The reversal of 312120222101 is 101222021213.

It can be written as a sum of positive squares in 4 ways, for example, as 25193943076 + 286926279025 = 158726^2 + 535655^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312120222101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312120222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439931 + ... + 904311.

It is an arithmetic number, because the mean of its divisors is an integer number (39136489623).

Almost surely, 2312120222101 is an apocalyptic number.

It is an amenable number.

312120222101 is a deficient number, since it is larger than the sum of its proper divisors (971694883).

312120222101 is a wasteful number, since it uses less digits than its factorization.

312120222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466471.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 312120222101 its reverse (101222021213), we get a palindrome (413342243314).

The spelling of 312120222101 in words is "three hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 397 1693 464381 672121 184359257 786197033 312120222101