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1003221010112 = 26537915792371
BaseRepresentation
bin11101001100101001010…
…00011100011011000000
310112220111012022200200212
432212110220130123000
5112414044034310422
62044512351533252
7132323515613036
oct16462450343300
93486435280625
101003221010112
11357511119522
1214252082a228
13737ac6b2499
14367b0140556
151b1694149e2
hexe994a1c6c0

1003221010112 has 112 divisors (see below), whose sum is σ = 2056171046400. Its totient is φ = 485403909120.

The previous prime is 1003221010111. The next prime is 1003221010133. The reversal of 1003221010112 is 2110101223001.

It is not an unprimeable number, because it can be changed into a prime (1003221010111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 423120287 + ... + 423122657.

Almost surely, 21003221010112 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 1003221010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028085523200).

1003221010112 is an abundant number, since it is smaller than the sum of its proper divisors (1052950036288).

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

1003221010112 is a wasteful number, since it uses less digits than its factorization.

1003221010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1003221010112 its reverse (2110101223001), we get a palindrome (3113322233113).

The spelling of 1003221010112 in words is "one trillion, three billion, two hundred twenty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 79 106 158 212 316 424 632 848 1264 1579 1696 2371 2528 3158 3392 4187 4742 5056 6316 8374 9484 12632 16748 18968 25264 33496 37936 50528 66992 75872 83687 101056 124741 125663 133984 151744 167374 187309 249482 251326 267968 334748 374618 498964 502652 669496 749236 997928 1005304 1338992 1498472 1995856 2010608 2677984 2996944 3743809 3991712 4021216 5355968 5993888 6611273 7487618 7983424 8042432 9927377 11987776 13222546 14975236 19854754 26445092 29950472 39709508 52890184 59900944 79419016 105780368 119801888 158838032 198421877 211560736 239603776 295760911 317676064 396843754 423121472 591521822 635352128 793687508 1183043644 1587375016 2366087288 3174750032 4732174576 6349500064 9464349152 12699000128 15675328283 18928698304 31350656566 62701313132 125402626264 250805252528 501610505056 1003221010112