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10221203124 = 22321175134369
BaseRepresentation
bin10011000010011101…
…10010111010110100
3222101022222220202200
421201032302322310
5131413111444444
64410123504500
7511201536006
oct114116627264
928338886680
1010221203124
11437566a210
121b93088130
13c6b7896b2
146cd6a4376
153ec504969
hex2613b2eb4

10221203124 has 72 divisors (see below), whose sum is σ = 28224094080. Its totient is φ = 3093120000.

The previous prime is 10221203119. The next prime is 10221203183. The reversal of 10221203124 is 42130212201.

It is a happy number.

10221203124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10221203097 and 10221203106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280212 + ... + 314580.

Almost surely, 210221203124 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 10221203124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112047040).

10221203124 is an abundant number, since it is smaller than the sum of its proper divisors (18002890956).

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

10221203124 is a wasteful number, since it uses less digits than its factorization.

10221203124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35141 (or 35136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221203124 its reverse (42130212201), we get a palindrome (52351415325).

The spelling of 10221203124 in words is "ten billion, two hundred twenty-one million, two hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 751 1502 2253 3004 4506 6759 8261 9012 13518 16522 24783 27036 33044 34369 49566 68738 74349 99132 103107 137476 148698 206214 297396 309321 378059 412428 618642 756118 1134177 1237284 1512236 2268354 3402531 4536708 6805062 13610124 25811119 51622238 77433357 103244476 154866714 232300071 283922309 309733428 464600142 567844618 851766927 929200284 1135689236 1703533854 2555300781 3407067708 5110601562 10221203124