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20100111010032 = 2432918179777541
BaseRepresentation
bin1001001000111111010111…
…11110100000100011110000
32122011112220021222202001010
410210133223332200203300
510113310011404310112
6110425510304310520
74143120326406534
oct444375376404360
978145807882033
1020100111010032
11644a455724669
122307652612440
13b2a580ac0491
144d6bc9d37bc4
1524ccb3bec63c
hex1247ebfa08f0

20100111010032 has 80 divisors (see below), whose sum is σ = 54012587035680. Its totient is φ = 6433260825600.

The previous prime is 20100111009973. The next prime is 20100111010039. The reversal of 20100111010032 is 23001011100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100111010039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39636819 + ... + 40140722.

It is an arithmetic number, because the mean of its divisors is an integer number (675157337946).

Almost surely, 220100111010032 is an apocalyptic number.

It is an amenable number.

20100111010032 is an abundant number, since it is smaller than the sum of its proper divisors (33912476025648).

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

20100111010032 is a wasteful number, since it uses less digits than its factorization.

20100111010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79777762 (or 79777756 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 20100111010032 its reverse (23001011100102), we get a palindrome (43101122110134).

The spelling of 20100111010032 in words is "twenty trillion, one hundred billion, one hundred eleven million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 181 232 348 362 464 543 696 724 1086 1392 1448 2172 2896 4344 5249 8688 10498 15747 20996 31494 41992 62988 83984 125976 251952 79777541 159555082 239332623 319110164 478665246 638220328 957330492 1276440656 1914660984 2313548689 3829321968 4627097378 6940646067 9254194756 13881292134 14439734921 18508389512 27762584268 28879469842 37016779024 43319204763 55525168536 57758939684 86638409526 111050337072 115517879368 173276819052 231035758736 346553638104 418752312709 693107276208 837504625418 1256256938127 1675009250836 2512513876254 3350018501672 5025027752508 6700037003344 10050055505016 20100111010032