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21020100332 = 227111033971669
BaseRepresentation
bin10011100100111001…
…010100011011101100
32000020221000201211112
4103210321110123230
5321022121202312
613353445411152
71342616622230
oct234471243354
960227021745
1021020100332
118a07331550
1240a7709ab8
131c9cb31aba
1410359865c0
158305bcd22
hex4e4e546ec

21020100332 has 96 divisors (see below), whose sum is σ = 46451758080. Its totient is φ = 8084862720.

The previous prime is 21020100307. The next prime is 21020100337. The reversal of 21020100332 is 23300102012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21020100337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12593594 + ... + 12595262.

It is an arithmetic number, because the mean of its divisors is an integer number (483872480).

Almost surely, 221020100332 is an apocalyptic number.

21020100332 is a gapful number since it is divisible by the number (22) 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 21020100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23225879040).

21020100332 is an abundant number, since it is smaller than the sum of its proper divisors (25431657748).

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

21020100332 is a wasteful number, since it uses less digits than its factorization.

21020100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21020100332 its reverse (23300102012), we get a palindrome (44320202344).

The spelling of 21020100332 in words is "twenty-one billion, twenty million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 103 154 206 308 397 412 721 794 1133 1442 1588 1669 2266 2779 2884 3338 4367 4532 5558 6676 7931 8734 11116 11683 15862 17468 18359 23366 30569 31724 36718 40891 46732 61138 73436 81782 122276 128513 163564 171907 257026 286237 343814 449801 514052 572474 662593 687628 899602 1144948 1203349 1325186 1799204 1890977 2406698 2650372 3148607 3781954 4638151 4813396 6297214 7288523 7563908 9276302 12594428 13236839 14577046 18552604 26473678 29154092 51019661 52947356 68247079 102039322 136494158 204078644 272988316 477729553 750717869 955459106 1501435738 1910918212 3002871476 5255025083 10510050166 21020100332