Search a number
-
+
23111002204400 = 245211233717473533
BaseRepresentation
bin1010100000100111100110…
…00100111010100011110000
310000211101112110222000110102
411100103303010322203300
511012122313031020100
6121053014200051532
74603500115321115
oct520236304724360
9100741473860412
1023111002204400
117400359272920
122713097a63ba8
13cb8486b40196
1459c81549a90c
152a128468bcd5
hex1504f313a8f0

23111002204400 has 480 divisors, whose sum is σ = 64969188991488. Its totient is φ = 7814660198400.

The previous prime is 23111002204373. The next prime is 23111002204441. The reversal of 23111002204400 is 440220011132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 6541465034 + ... + 6541468566.

Almost surely, 223111002204400 is an apocalyptic number.

23111002204400 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 23111002204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32484594495744).

23111002204400 is an abundant number, since it is smaller than the sum of its proper divisors (41858186787088).

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

23111002204400 is a wasteful number, since it uses less digits than its factorization.

23111002204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 23111002204400 its reverse (440220011132), we get a palindrome (23551222215532).

The spelling of 23111002204400 in words is "twenty-three trillion, one hundred eleven billion, two million, two hundred four thousand, four hundred".