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10000021104 = 243365335449
BaseRepresentation
bin10010101000000110…
…00011011001110000
3221210220210201002000
421110003003121300
5130440001133404
64332143054000
7502544530323
oct112403033160
927726721060
1010000021104
114271829957
121b30ba1300
13c349c6c68
146ac16a7ba
153d7db4339
hex2540c3670

10000021104 has 80 divisors (see below), whose sum is σ = 28748532000. Its totient is φ = 3328141824.

The previous prime is 10000021103. The next prime is 10000021111. The reversal of 10000021104 is 40112000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264372 + ... + 299820.

It is an arithmetic number, because the mean of its divisors is an integer number (359356650).

Almost surely, 210000021104 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 10000021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374266000).

10000021104 is an abundant number, since it is smaller than the sum of its proper divisors (18748510896).

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

10000021104 is a wasteful number, since it uses less digits than its factorization.

10000021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36119 (or 36107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000021104 its reverse (40112000001), we get a palindrome (50112021105).

It can be divided in two parts, 100000 and 21104, that added together give a square (121104 = 3482).

The spelling of 10000021104 in words is "ten billion, twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 653 1306 1959 2612 3918 5224 5877 7836 10448 11754 15672 17631 23508 31344 35262 35449 47016 70524 70898 94032 106347 141048 141796 212694 282096 283592 319041 425388 567184 638082 850776 957123 1276164 1701552 1914246 2552328 3828492 5104656 7656984 15313968 23148197 46296394 69444591 92592788 138889182 185185576 208333773 277778364 370371152 416667546 555556728 625001319 833335092 1111113456 1250002638 1666670184 2500005276 3333340368 5000010552 10000021104