Search a number
-
+
13023223033002 = 23721347113641581
BaseRepresentation
bin1011110110000011010010…
…0101010010110010101010
31201010000012210201211121220
42331200310211102302222
53201333030044024002
643410441442442510
72512616415206100
oct275406445226252
951100183654556
1013023223033002
114171132984156
121563ba3063436
13736114007670
143304823adc70
15178b6d3507bc
hexbd834952caa

13023223033002 has 192 divisors, whose sum is σ = 33618814677504. Its totient is φ = 3331863521280.

The previous prime is 13023223032959. The next prime is 13023223033027. The reversal of 13023223033002 is 20033032232031.

It is a super-2 number, since 2×130232230330022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19977852 + ... + 20619432.

It is an arithmetic number, because the mean of its divisors is an integer number (175097993112).

Almost surely, 213023223033002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023223033002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16809407338752).

13023223033002 is an abundant number, since it is smaller than the sum of its proper divisors (20595591644502).

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

13023223033002 is a wasteful number, since it uses less digits than its factorization.

13023223033002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641773 (or 641766 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13023223033002 its reverse (20033032232031), we get a palindrome (33056255265033).

The spelling of 13023223033002 in words is "thirteen trillion, twenty-three billion, two hundred twenty-three million, thirty-three thousand, two".