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9901090100 = 22521129310379
BaseRepresentation
bin10010011100010011…
…01010010100110100
3221120000122111020202
421032021222110310
5130234134340400
64314250420032
7500233606616
oct111611522464
927500574222
109901090100
1142209a85a0
121b03a31618
13c1a368bc5
1469cd76db6
153ce3714d5
hex24e26a534

9901090100 has 72 divisors (see below), whose sum is σ = 24246885600. Its totient is φ = 3476233600.

The previous prime is 9901090091. The next prime is 9901090127. The reversal of 9901090100 is 10901099.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 123290 + ... + 187089.

It is an arithmetic number, because the mean of its divisors is an integer number (336762300).

Almost surely, 29901090100 is an apocalyptic number.

It is an amenable number.

9901090100 is an abundant number, since it is smaller than the sum of its proper divisors (14345795500).

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

9901090100 is a wasteful number, since it uses less digits than its factorization.

9901090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310433 (or 310426 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 29.

The square root of 9901090100 is about 99504.2215184863. The cubic root of 9901090100 is about 2147.3079773897.

Adding to 9901090100 its reverse (10901099), we get a palindrome (9911991199).

It can be divided in two parts, 9 and 901090100, that added together give a palindrome (901090109).

The spelling of 9901090100 in words is "nine billion, nine hundred one million, ninety thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 310379 620758 1241516 1551895 3103790 3414169 6207580 6828338 7759475 9000991 13656676 15518950 17070845 18001982 31037900 34141690 36003964 45004955 68283380 85354225 90009910 99010901 170708450 180019820 198021802 225024775 341416900 396043604 450049550 495054505 900099100 990109010 1980218020 2475272525 4950545050 9901090100