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21234150600 = 233521331137641
BaseRepresentation
bin10011110001101001…
…110110110011001000
32000210211210121121020
4103301221312303020
5321441420304400
613431013312440
71351126205415
oct236151666310
960724717536
1021234150600
1190071406a3
124147335720
132005298370
14105618510c
158442a02a0
hex4f1a76cc8

21234150600 has 384 divisors, whose sum is σ = 73825274880. Its totient is φ = 5013504000.

The previous prime is 21234150599. The next prime is 21234150617. The reversal of 21234150600 is 605143212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33126280 + ... + 33126920.

It is an arithmetic number, because the mean of its divisors is an integer number (192253320).

Almost surely, 221234150600 is an apocalyptic number.

21234150600 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 21234150600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36912637440).

21234150600 is an abundant number, since it is smaller than the sum of its proper divisors (52591124280).

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

21234150600 is a wasteful number, since it uses less digits than its factorization.

21234150600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 21234150600 its reverse (605143212), we get a palindrome (21839293812).

The spelling of 21234150600 in words is "twenty-one billion, two hundred thirty-four million, one hundred fifty thousand, six hundred".