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10991190100 = 22521128333527
BaseRepresentation
bin10100011110010000…
…00100000001010100
31001100222212022022211
422033020010001110
5140002221040400
65014351203204
7536241401002
oct121710040124
931328768284
1010991190100
114730270890
122168b16504
1310621616a7
14763a59a72
15444deddba
hex28f204054

10991190100 has 72 divisors (see below), whose sum is σ = 26035708608. Its totient is φ = 3994252800.

The previous prime is 10991190079. The next prime is 10991190103. The reversal of 10991190100 is 109119901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10991190103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3114537 + ... + 3118063.

It is an arithmetic number, because the mean of its divisors is an integer number (361607064).

Almost surely, 210991190100 is an apocalyptic number.

10991190100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10991190100 is an abundant number, since it is smaller than the sum of its proper divisors (15044518508).

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

10991190100 is a wasteful number, since it uses less digits than its factorization.

10991190100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 10991190100 in words is "ten billion, nine hundred ninety-one million, one hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2833 3527 5666 7054 11332 14108 14165 17635 28330 31163 35270 38797 56660 62326 70540 70825 77594 88175 124652 141650 155188 155815 176350 193985 283300 311630 352700 387970 623260 775940 779075 969925 1558150 1939850 3116300 3879700 9991991 19983982 39967964 49959955 99919910 109911901 199839820 219823802 249799775 439647604 499599550 549559505 999199100 1099119010 2198238020 2747797525 5495595050 10991190100