Search a number
-
+
21100233000 = 23353721113049
BaseRepresentation
bin10011101001101011…
…000000000100101000
32000110111210220012010
4103221223000010220
5321203124424000
613405431115520
71344612010200
oct235153000450
960414726163
1021100233000
118a485933a0
12410a512ba0
131cb360a692
141042485400
1583764ad50
hex4e9ac0128

21100233000 has 384 divisors, whose sum is σ = 83549232000. Its totient is φ = 4384128000.

The previous prime is 21100232983. The next prime is 21100233019. The reversal of 21100233000 is 33200112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1610476 + ... + 1623524.

It is an arithmetic number, because the mean of its divisors is an integer number (217576125).

Almost surely, 221100233000 is an apocalyptic number.

21100233000 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 21100233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41774616000).

21100233000 is an abundant number, since it is smaller than the sum of its proper divisors (62448999000).

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

21100233000 is a wasteful number, since it uses less digits than its factorization.

21100233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13098 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21100233000 its reverse (33200112), we get a palindrome (21133433112).

The spelling of 21100233000 in words is "twenty-one billion, one hundred million, two hundred thirty-three thousand".