Search a number
-
+
13122334240425 = 355211631857313
BaseRepresentation
bin1011111011110100100000…
…0100100010111010101001
31201110111001000221211200000
42332331020010202322221
53204444020031143200
643524152255533213
72523025450444434
oct276751004427251
951414030854600
1013122334240425
1141aa172642233
12157b24322a209
1374257a645a27
143351a539081b
1517b51e524300
hexbef48122ea9

13122334240425 has 72 divisors (see below), whose sum is σ = 24395031888864. Its totient is φ = 6992556802560.

The previous prime is 13122334240423. The next prime is 13122334240439. The reversal of 13122334240425 is 52404243322131.

13122334240425 is a `hidden beast` number, since 1 + 3 + 1 + 223 + 3 + 4 + 2 + 4 + 0 + 425 = 666.

13122334240425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13122334240425 - 21 = 13122334240423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13122334240425.

It is not an unprimeable number, because it can be changed into a prime (13122334240423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6136569 + ... + 7993881.

Almost surely, 213122334240425 is an apocalyptic number.

13122334240425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13122334240425 is a deficient number, since it is larger than the sum of its proper divisors (11272697648439).

13122334240425 is a wasteful number, since it uses less digits than its factorization.

13122334240425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858501 (or 1858484 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13122334240425 its reverse (52404243322131), we get a palindrome (65526577562556).

The spelling of 13122334240425 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty-four million, two hundred forty thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 1163 1215 2025 3489 5815 6075 10467 17445 29075 31401 52335 87225 94203 157005 261675 282609 471015 785025 1413045 1857313 2355075 5571939 7065225 9286565 16715817 27859695 46432825 50147451 83579085 139298475 150442353 250737255 417895425 451327059 752211765 1253686275 2160055019 2256635295 3761058825 6480165057 10800275095 11283176475 19440495171 32400825285 54001375475 58321485513 97202475855 162004126425 174964456539 291607427565 486012379275 524893369617 874822282695 1458037137825 2624466848085 4374111413475 13122334240425