Search a number
-
+
13003111023210 = 232571134718732887
BaseRepresentation
bin1011110100111000010111…
…0100000100001001101010
31201001002022011102212211100
42331032011310010021222
53201020332410220320
643353314032342230
72511305133020040
oct275160564041152
951032264385740
1013003111023210
114163652200560
12156010b6a4976
1373425a372959
1432d4d528c390
1517839285b790
hexbd385d0426a

13003111023210 has 384 divisors, whose sum is σ = 42309034020864. Its totient is φ = 2691787438080.

The previous prime is 13003111023179. The next prime is 13003111023233. The reversal of 13003111023210 is 1232011130031.

13003111023210 is a `hidden beast` number, since 1 + 30 + 0 + 311 + 1 + 0 + 2 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4504020387 + ... + 4504023273.

It is an arithmetic number, because the mean of its divisors is an integer number (110179776096).

Almost surely, 213003111023210 is an apocalyptic number.

13003111023210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003111023210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21154517010432).

13003111023210 is an abundant number, since it is smaller than the sum of its proper divisors (29305922997654).

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

13003111023210 is a wasteful number, since it uses less digits than its factorization.

13003111023210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13003111023210 its reverse (1232011130031), we get a palindrome (14235122153241).

The spelling of 13003111023210 in words is "thirteen trillion, three billion, one hundred eleven million, twenty-three thousand, two hundred ten".