Search a number
-
+
13111144103024 = 24114871009151603
BaseRepresentation
bin1011111011001010110100…
…0101100011110001110000
31201102102011011201221221122
42332302231011203301300
53204303110342244044
643515102040241412
72522151242032232
oct276625505436160
951372134657848
1013111144103024
1141a54500483a0
12157903b770268
137414b6208256
14334823148252
1517b0b6e27dee
hexbecad163c70

13111144103024 has 80 divisors (see below), whose sum is σ = 27796799581440. Its totient is φ = 5941440046080.

The previous prime is 13111144102981. The next prime is 13111144103077. The reversal of 13111144103024 is 42030144111131.

It is a super-2 number, since 2×131111441030242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13111144102984 and 13111144103002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86407607 + ... + 86559209.

It is an arithmetic number, because the mean of its divisors is an integer number (347459994768).

Almost surely, 213111144103024 is an apocalyptic number.

It is an amenable number.

13111144103024 is an abundant number, since it is smaller than the sum of its proper divisors (14685655478416).

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

13111144103024 is a wasteful number, since it uses less digits than its factorization.

13111144103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153118 (or 153112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 13111144103024 its reverse (42030144111131), we get a palindrome (55141288214155).

The spelling of 13111144103024 in words is "thirteen trillion, one hundred eleven billion, one hundred forty-four million, one hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 487 974 1009 1948 2018 3896 4036 5357 7792 8072 10714 11099 16144 21428 22198 42856 44396 85712 88792 151603 177584 303206 491383 606412 982766 1212824 1667633 1965532 2425648 3335266 3931064 5405213 6670532 7862128 10810426 13341064 21620852 26682128 43241704 73830661 86483408 147661322 152967427 295322644 305934854 590645288 611869708 812137271 1181290576 1223739416 1624274542 1682641697 2447478832 3248549084 3365283394 6497098168 6730566788 12994196336 13461133576 26922267152 74495136949 148990273898 297980547796 595961095592 819446506439 1191922191184 1638893012878 3277786025756 6555572051512 13111144103024