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1032002422100 = 2252131663477359
BaseRepresentation
bin11110000010010000010…
…00110100010101010100
310122122210000121220120122
433001020020310111110
5113402020110001400
62110032333251112
7134362660565126
oct17011010642524
93578700556518
101032002422100
11368740510321
12148013633a98
1376418475590
1437d407bb216
151bca1080685
hexf048234554

1032002422100 has 72 divisors (see below), whose sum is σ = 2413165547520. Its totient is φ = 380817118080.

The previous prime is 1032002422067. The next prime is 1032002422117. The reversal of 1032002422100 is 12242002301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923221 + ... + 2400579.

It is an arithmetic number, because the mean of its divisors is an integer number (33516188160).

Almost surely, 21032002422100 is an apocalyptic number.

1032002422100 is a gapful number since it is divisible by the number (10) 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 1032002422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206582773760).

1032002422100 is an abundant number, since it is smaller than the sum of its proper divisors (1381163125420).

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

1032002422100 is a wasteful number, since it uses less digits than its factorization.

1032002422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479049 (or 479042 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1032002422100 its reverse (12242002301), we get a palindrome (1044244424401).

The spelling of 1032002422100 in words is "one trillion, thirty-two billion, two million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1663 3326 6652 8315 16630 21619 33260 41575 43238 83150 86476 108095 166300 216190 432380 477359 540475 954718 1080950 1909436 2161900 2386795 4773590 6205667 9547180 11933975 12411334 23867950 24822668 31028335 47735900 62056670 124113340 155141675 310283350 620566700 793848017 1587696034 3175392068 3969240085 7938480170 10320024221 15876960340 19846200425 20640048442 39692400850 41280096884 51600121105 79384801700 103200242210 206400484420 258000605525 516001211050 1032002422100