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21201301032102 = 23219411733872477
BaseRepresentation
bin1001101001000010100000…
…00001000100110010100110
32210001211021010021220011100
410310201100001010302212
510234330231031011402
6113031424312220530
74315513001224302
oct464412001046246
983054233256140
1021201301032102
11683446a796874
122464b5499a746
13baa3742a8409
14534211494d02
1526b763db771c
hex134850044ca6

21201301032102 has 96 divisors (see below), whose sum is σ = 49561845671520. Its totient is φ = 6528074826240.

The previous prime is 21201301032077. The next prime is 21201301032137. The reversal of 21201301032102 is 20123010310212.

21201301032102 is a `hidden beast` number, since 21 + 20 + 1 + 301 + 0 + 321 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23863888 + ... + 24736364.

It is an arithmetic number, because the mean of its divisors is an integer number (516269225745).

Almost surely, 221201301032102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201301032102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24780922835760).

21201301032102 is an abundant number, since it is smaller than the sum of its proper divisors (28360544639418).

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

21201301032102 is a wasteful number, since it uses less digits than its factorization.

21201301032102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874278 (or 874275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21201301032102 its reverse (20123010310212), we get a palindrome (41324311342314).

The spelling of 21201301032102 in words is "twenty-one trillion, two hundred one billion, three hundred one million, thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 1733 2337 3466 4674 5199 7011 10398 14022 15597 31194 32927 65854 71053 98781 142106 197562 213159 296343 426318 592686 639477 872477 1278954 1350007 1744954 2617431 2700014 4050021 5234862 7852293 8100042 12150063 15704586 16577063 24300126 33154126 35771557 49731189 71543114 99462378 107314671 149193567 214629342 298387134 321944013 643888026 679659583 1359319166 1512002641 2038978749 3024005282 4077957498 4536007923 6116936247 9072015846 12233872494 13608023769 27216047538 28728050179 57456100358 61992108281 86184150537 123984216562 172368301074 185976324843 258552451611 371952649686 517104903222 557928974529 1115857949058 1177850057339 2355700114678 3533550172017 7067100344034 10600650516051 21201301032102