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11112023100 = 22352223166099
BaseRepresentation
bin10100101100101010…
…00000010000111100
31001200102020021001010
422112111000100330
5140224134214400
65034345115220
7542236431543
oct122625002074
931612207033
1011112023100
1147924a1472
1221a1488b10
1310811ba7c9
14775b1115a
1545081b450
hex29654043c

11112023100 has 72 divisors (see below), whose sum is σ = 32295155200. Its totient is φ = 2949900480.

The previous prime is 11112023077. The next prime is 11112023161. The reversal of 11112023100 is 132021111.

It is a super-2 number, since 2×111120231002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16150 + ... + 149949.

Almost surely, 211112023100 is an apocalyptic number.

11112023100 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 11112023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147577600).

11112023100 is an abundant number, since it is smaller than the sum of its proper divisors (21183132100).

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

11112023100 is a wasteful number, since it uses less digits than its factorization.

11112023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166339 (or 166332 counting only the distinct ones).

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

Adding to 11112023100 its reverse (132021111), we get a palindrome (11244044211).

The spelling of 11112023100 in words is "eleven billion, one hundred twelve million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 892 1115 1338 2230 2676 3345 4460 5575 6690 11150 13380 16725 22300 33450 66900 166099 332198 498297 664396 830495 996594 1660990 1993188 2491485 3321980 4152475 4982970 8304950 9965940 12457425 16609900 24914850 37040077 49829700 74080154 111120231 148160308 185200385 222240462 370400770 444480924 555601155 740801540 926001925 1111202310 1852003850 2222404620 2778005775 3704007700 5556011550 11112023100