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10001121111000 = 23365316078537
BaseRepresentation
bin1001000110001001000101…
…0001010110101111011000
31022102002122022210121000000
42101202101101112233120
52302324244001023000
633134241314213000
72051362050544425
oct221422121265730
938362568717000
1010001121111000
1132064a7158338
12115634b284160
135771424bb206
142680b1da4d4c
15125243599000
hex91891456bd8

10001121111000 has 448 divisors, whose sum is σ = 35113830972480. Its totient is φ = 2664993830400.

The previous prime is 10001121110983. The next prime is 10001121111041. The reversal of 10001121111000 is 11112110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1171498732 + ... + 1171507268.

Almost surely, 210001121111000 is an apocalyptic number.

10001121111000 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 10001121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556915486240).

10001121111000 is an abundant number, since it is smaller than the sum of its proper divisors (25112709861480).

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

10001121111000 is an equidigital number, since it uses as much as digits as its factorization.

10001121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10154 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001121111000 its reverse (11112110001), we get a palindrome (10012233221001).

Subtracting from 10001121111000 its reverse (11112110001), we obtain a palindrome (9990009000999).

It can be divided in two parts, 1000112 and 1111000, that added together give a palindrome (2111112).

The spelling of 10001121111000 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred eleven thousand".