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10201332096 = 273267132169
BaseRepresentation
bin10011000000000101…
…11111100110000000
3222022221121100211200
421200002333212000
5131343020111341
64404133541200
7510540614664
oct114002774600
928287540750
1010201332096
11436542787a
121b884a4800
13c6761cba7
146cabb08a4
153ea8cbdb6
hex2600bf980

10201332096 has 96 divisors (see below), whose sum is σ = 29793761400. Its totient is φ = 3349665792.

The previous prime is 10201332091. The next prime is 10201332143. The reversal of 10201332096 is 69023310201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201332091) 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 11 ways as a sum of consecutive naturals, for example, 11100 + ... + 143268.

Almost surely, 210201332096 is an apocalyptic number.

10201332096 is a gapful number since it is divisible by the number (16) 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 10201332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896880700).

10201332096 is an abundant number, since it is smaller than the sum of its proper divisors (19592429304).

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

10201332096 is a wasteful number, since it uses less digits than its factorization.

10201332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132256 (or 132241 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10201332096 its reverse (69023310201), we get a palindrome (79224642297).

The spelling of 10201332096 in words is "ten billion, two hundred one million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3216 4288 4824 6432 8576 9648 12864 19296 25728 38592 77184 132169 264338 396507 528676 793014 1057352 1189521 1586028 2114704 2379042 3172056 4229408 4758084 6344112 8458816 8855323 9516168 12688224 16917632 17710646 19032336 25376448 26565969 35421292 38064672 50752896 53131938 70842584 76129344 79697907 106263876 141685168 152258688 159395814 212527752 283370336 318791628 425055504 566740672 637583256 850111008 1133481344 1275166512 1700222016 2550333024 3400444032 5100666048 10201332096