Search a number
-
+
13101123233331 = 3271712232608061
BaseRepresentation
bin1011111010100101011111…
…0010111110011000110011
31201101110021210201000222200
42332221113302332120303
53204122100021431311
643510323430234243
72521345022036550
oct276512762763063
951343253630880
1013101123233331
1141a1178579701
1215771037b5983
1374057a0c1863
14334152311a27
1517abcc2e6556
hexbea57cbe633

13101123233331 has 24 divisors (see below), whose sum is σ = 22899442292064. Its totient is φ = 7045982242560.

The previous prime is 13101123233327. The next prime is 13101123233423. The reversal of 13101123233331 is 13333232110131.

13101123233331 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 1 + 2 + 323 + 3 + 331 = 666.

It is not a de Polignac number, because 13101123233331 - 22 = 13101123233327 is a prime.

It is a super-2 number, since 2×131011232333312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101123233295 and 13101123233304.

It is not an unprimeable number, because it can be changed into a prime (13101123233131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6116302960 + ... + 6116305101.

It is an arithmetic number, because the mean of its divisors is an integer number (954143428836).

Almost surely, 213101123233331 is an apocalyptic number.

13101123233331 is a deficient number, since it is larger than the sum of its proper divisors (9798319058733).

13101123233331 is a wasteful number, since it uses less digits than its factorization.

13101123233331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12232608091 (or 12232608088 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13101123233331 its reverse (13333232110131), we get a palindrome (26434355343462).

The spelling of 13101123233331 in words is "thirteen trillion, one hundred one billion, one hundred twenty-three million, two hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 12232608061 36697824183 85628256427 110093472549 207954337037 256884769281 623863011111 770654307843 1455680359259 1871589033333 4367041077777 13101123233331