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10111112011000 = 23537111354118671
BaseRepresentation
bin1001001100100010110100…
…1111010101110011111000
31022210121112210002020112001
42103020231033111303320
52311130024133323000
633300551501030344
72062334532014320
oct223105517256370
938717483066461
1010111112011000
11324910a152490
121173726b553b4
13584620b500b0
1426d547c9a280
1512802e99546a
hex9322d3d5cf8

10111112011000 has 512 divisors, whose sum is σ = 31827699671040. Its totient is φ = 2903558400000.

The previous prime is 10111112010997. The next prime is 10111112011001. The reversal of 10111112011000 is 11021111101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111112011001) 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 127 ways as a sum of consecutive naturals, for example, 541531665 + ... + 541550335.

It is an arithmetic number, because the mean of its divisors is an integer number (62163475920).

Almost surely, 210111112011000 is an apocalyptic number.

10111112011000 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 10111112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913849835520).

10111112011000 is an abundant number, since it is smaller than the sum of its proper divisors (21716587660040).

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

10111112011000 is a wasteful number, since it uses less digits than its factorization.

10111112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19264 (or 19250 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111112011000 its reverse (11021111101), we get a palindrome (10122133122101).

It can be divided in two parts, 1011111 and 2011000, that added together give a triangular number (3022111 = T2458).

The spelling of 10111112011000 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, eleven thousand".