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21441232100 = 22521930233733
BaseRepresentation
bin10011111101111111…
…110011110011100100
32001100021110110000102
4103331333303303210
5322402423411400
613503332003232
71356222315521
oct237577636344
961307413012
1021441232100
119103020032
1241a4760518
1320391619b2
14107588c148
158575579d5
hex4fdff3ce4

21441232100 has 72 divisors (see below), whose sum is σ = 49005613440. Its totient is φ = 8120234880.

The previous prime is 21441232061. The next prime is 21441232103. The reversal of 21441232100 is 123214412.

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

It is not an unprimeable number, because it can be changed into a prime (21441232103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5741834 + ... + 5745566.

It is an arithmetic number, because the mean of its divisors is an integer number (680633520).

Almost surely, 221441232100 is an apocalyptic number.

21441232100 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 21441232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502806720).

21441232100 is an abundant number, since it is smaller than the sum of its proper divisors (27564381340).

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

21441232100 is a wasteful number, since it uses less digits than its factorization.

21441232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6789 (or 6782 counting only the distinct ones).

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

Adding to 21441232100 its reverse (123214412), we get a palindrome (21564446512).

The spelling of 21441232100 in words is "twenty-one billion, four hundred forty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 3023 3733 6046 7466 12092 14932 15115 18665 30230 37330 57437 60460 70927 74660 75575 93325 114874 141854 151150 186650 229748 283708 287185 302300 354635 373300 574370 709270 1148740 1418540 1435925 1773175 2871850 3546350 5743700 7092700 11284859 22569718 45139436 56424295 112848590 214412321 225697180 282121475 428824642 564242950 857649284 1072061605 1128485900 2144123210 4288246420 5360308025 10720616050 21441232100