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12131142333233 = 711377159972327
BaseRepresentation
bin1011000010001000000001…
…1011011111001100110001
31120221201121011111220000112
42300202000123133030301
53042224034414130413
641444545253231105
72361306005316320
oct260420033371461
946851534456015
1012131142333233
113957874652890
12143b11b032495
1369cc67147931
142dd216a860b7
1516085b1cd2a8
hexb08806df331

12131142333233 has 32 divisors (see below), whose sum is σ = 15752091783168. Its totient is φ = 9067815691200.

The previous prime is 12131142333199. The next prime is 12131142333269. The reversal of 12131142333233 is 33233324113121.

It is a happy number.

It is not a de Polignac number, because 12131142333233 - 228 = 12130873897777 is a prime.

It is a super-2 number, since 2×121311423332332 (a number of 27 digits) contains 22 as substring.

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 12131142333233.

It is not an unprimeable number, because it can be changed into a prime (12131142333133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29783885 + ... + 30188442.

It is an arithmetic number, because the mean of its divisors is an integer number (492252868224).

Almost surely, 212131142333233 is an apocalyptic number.

It is an amenable number.

12131142333233 is a deficient number, since it is larger than the sum of its proper divisors (3620949449935).

12131142333233 is a wasteful number, since it uses less digits than its factorization.

12131142333233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59972453.

The product of its digits is 23328, while the sum is 32.

Adding to 12131142333233 its reverse (33233324113121), we get a palindrome (45364466446354).

The spelling of 12131142333233 in words is "twelve trillion, one hundred thirty-one billion, one hundred forty-two million, three hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 7 11 37 71 77 259 407 497 781 2627 2849 5467 18389 28897 202279 59972327 419806289 659695597 2218976099 4258035217 4617869179 15532832693 24408737089 29806246519 46838387387 157547303029 170861159623 327868711709 1102831121203 1733020333319 12131142333233