Search a number
-
+
13103313211332 = 2233402730128377
BaseRepresentation
bin1011111010101101101001…
…0101000100111111000100
31201101122221102112110001000
42332223122111010333010
53204141041140230312
643511325021133300
72521453213405221
oct276533225047704
951348842473030
1013103313211332
1141a20a1783583
1215776150ba230
13740838a24626
143342bd100948
1517aca96d3adc
hexbeada544fc4

13103313211332 has 48 divisors (see below), whose sum is σ = 33979989843520. Its totient is φ = 4366686303936.

The previous prime is 13103313211327. The next prime is 13103313211333. The reversal of 13103313211332 is 23311231330131.

13103313211332 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 3 + 1 + 321 + 1 + 332 = 666.

It is a super-2 number, since 2×131033132113322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13103313211296 and 13103313211305.

It is not an unprimeable number, because it can be changed into a prime (13103313211333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14629273 + ... + 15499104.

Almost surely, 213103313211332 is an apocalyptic number.

13103313211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13103313211332 is an abundant number, since it is smaller than the sum of its proper divisors (20876676632188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103313211332 is a wasteful number, since it uses less digits than its factorization.

13103313211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30132417 (or 30132409 counting only the distinct ones).

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

Adding to 13103313211332 its reverse (23311231330131), we get a palindrome (36414544541463).

The spelling of 13103313211332 in words is "thirteen trillion, one hundred three billion, three hundred thirteen million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4027 8054 12081 16108 24162 36243 48324 72486 108729 144972 217458 434916 30128377 60256754 90385131 120513508 180770262 271155393 361540524 542310786 813466179 1084621572 1626932358 3253864716 121326974179 242653948358 363980922537 485307896716 727961845074 1091942767611 1455923690148 2183885535222 3275828302833 4367771070444 6551656605666 13103313211332