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21102443232 = 2531328315671
BaseRepresentation
bin10011101001110011…
…011011101011100000
32000110122222012001120
4103221303123223200
5321204211140412
613405550332240
71344636544053
oct235163335340
960418865046
1021102443232
118a49862a32
12410b1ba080
131cb3c02700
14104289ca9a
15837935b8c
hex4e9cdbae0

21102443232 has 144 divisors (see below), whose sum is σ = 60709315968. Its totient is φ = 6414420480.

The previous prime is 21102443227. The next prime is 21102443239. The reversal of 21102443232 is 23234420112.

It is a happy number.

It is a super-2 number, since 2×211024432322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102443239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338757 + ... + 1354427.

It is an arithmetic number, because the mean of its divisors is an integer number (421592472).

Almost surely, 221102443232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30354657984).

21102443232 is an abundant number, since it is smaller than the sum of its proper divisors (39606872736).

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

21102443232 is a wasteful number, since it uses less digits than its factorization.

21102443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15793 (or 15772 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21102443232 its reverse (23234420112), we get a palindrome (44336863344).

The spelling of 21102443232 in words is "twenty-one billion, one hundred two million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 169 208 249 312 332 338 416 498 507 624 664 676 996 1014 1079 1248 1328 1352 1992 2028 2158 2656 2704 3237 3984 4056 4316 5408 6474 7968 8112 8632 12948 14027 15671 16224 17264 25896 28054 31342 34528 42081 47013 51792 56108 62684 84162 94026 103584 112216 125368 168324 188052 203723 224432 250736 336648 376104 407446 448864 501472 611169 673296 752208 814892 1222338 1300693 1346592 1504416 1629784 2444676 2601386 2648399 3259568 3902079 4889352 5202772 5296798 6519136 7804158 7945197 9778704 10405544 10593596 15608316 15890394 16909009 19557408 20811088 21187192 31216632 31780788 33818018 41622176 42374384 50727027 62433264 63561576 67636036 84748768 101454054 124866528 127123152 135272072 202908108 219817117 254246304 270544144 405816216 439634234 541088288 659451351 811632432 879268468 1318902702 1623264864 1758536936 2637805404 3517073872 5275610808 7034147744 10551221616 21102443232