Search a number
-
+
23300202211000 = 235311133964133
BaseRepresentation
bin1010100110001000000000…
…10001101010011010111000
310001111110220011011012012021
411103010000101222122320
511023222303231223000
6121315544244524224
74623245505664651
oct523040021523270
9101443804135167
1023300202211000
117473618793140
12274389a6b0674
1310002797c2000
145a7a43092528
152a61598cd11a
hex15310046a6b8

23300202211000 has 256 divisors, whose sum is σ = 64433460873600. Its totient is φ = 7821038784000.

The previous prime is 23300202210973. The next prime is 23300202211031. The reversal of 23300202211000 is 11220200332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23684934 + ... + 24649066.

Almost surely, 223300202211000 is an apocalyptic number.

23300202211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23300202211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32216730436800).

23300202211000 is an abundant number, since it is smaller than the sum of its proper divisors (41133258662600).

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

23300202211000 is a wasteful number, since it uses less digits than its factorization.

23300202211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964204 (or 964164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23300202211000 its reverse (11220200332), we get a palindrome (23311422411332).

The spelling of 23300202211000 in words is "twenty-three trillion, three hundred billion, two hundred two million, two hundred eleven thousand".