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12210312122131 = 171143716280033
BaseRepresentation
bin1011000110101110111101…
…0100010000111100010011
31121020021221122102212111011
42301223233110100330103
53100023204400402011
641545201232431351
72400110626366354
oct261535724207423
947207848385434
1012210312122131
113988400963a92
1214525349a8557
136a757327c776
14302da746dd2b
15162941858621
hexb1aef510f13

12210312122131 has 8 divisors (see below), whose sum is σ = 12928680875664. Its totient is φ = 11491956157440.

The previous prime is 12210312122083. The next prime is 12210312122143. The reversal of 12210312122131 is 13122121301221.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 12210312122131 - 239 = 11660556308243 is a prime.

It is a super-2 number, since 2×122103121221312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12210312122731) 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 7 ways as a sum of consecutive naturals, for example, 1195710 + ... + 5084323.

It is an arithmetic number, because the mean of its divisors is an integer number (1616085109458).

Almost surely, 212210312122131 is an apocalyptic number.

12210312122131 is a deficient number, since it is larger than the sum of its proper divisors (718368753533).

12210312122131 is a wasteful number, since it uses less digits than its factorization.

12210312122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394421.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12210312122131 its reverse (13122121301221), we get a palindrome (25332433423352).

The spelling of 12210312122131 in words is "twelve trillion, two hundred ten billion, three hundred twelve million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 17 114371 1944307 6280033 106760561 718253654243 12210312122131