Search a number
-
+
13122334213223 = 19103173337311491
BaseRepresentation
bin1011111011110100100000…
…0100011100010001100111
31201110111001000220110100112
42332331020010130101213
53204444020024310343
643524152255203235
72523025450302224
oct276751004342147
951414030813315
1013122334213223
1141aa172623854
12157b24321651b
1374257a636531
143351a538494b
1517b51e51b218
hexbef4811c467

13122334213223 has 32 divisors (see below), whose sum is σ = 14033088975360. Its totient is φ = 12235133669760.

The previous prime is 13122334213211. The next prime is 13122334213253. The reversal of 13122334213223 is 32231243322131.

13122334213223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13122334213223 - 210 = 13122334212199 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 13122334213223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122334213253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141960508 + ... + 1141971998.

It is an arithmetic number, because the mean of its divisors is an integer number (438534030480).

Almost surely, 213122334213223 is an apocalyptic number.

13122334213223 is a deficient number, since it is larger than the sum of its proper divisors (910754762137).

13122334213223 is a wasteful number, since it uses less digits than its factorization.

13122334213223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15159.

The product of its digits is 31104, while the sum is 32.

Adding to 13122334213223 its reverse (32231243322131), we get a palindrome (45353577535354).

The spelling of 13122334213223 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty-four million, two hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 19 103 173 1957 3287 3373 11491 17819 64087 218329 338561 347419 583529 1183573 1987943 6600961 11087051 22487887 37770917 38759143 60103487 204758129 736423717 1141966253 3890404451 3992191729 6705331739 75851642851 127401303041 690649169117 13122334213223