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10000120011000 = 2335378934915331
BaseRepresentation
bin1001000110000101010110…
…0110011101100011111000
31022102000001120001102222020
42101201111212131203320
52302320221210323000
633133554113154440
72051325203412510
oct221412546354370
938360046042866
1010000120011000
113206033053069
12115610bb5ba20
13577012c87452
1426801904c840
151251d574bba0
hex9185599d8f8

10000120011000 has 512 divisors, whose sum is σ = 36163895040000. Its totient is φ = 2253436416000.

The previous prime is 10000120010989. The next prime is 10000120011019. The reversal of 10000120011000 is 11002100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10000120011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 652273335 + ... + 652288665.

It is an arithmetic number, because the mean of its divisors is an integer number (70632607500).

Almost surely, 210000120011000 is an apocalyptic number.

10000120011000 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 10000120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081947520000).

10000120011000 is an abundant number, since it is smaller than the sum of its proper divisors (26163775029000).

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

10000120011000 is a wasteful number, since it uses less digits than its factorization.

10000120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800 (or 15786 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000120011000 its reverse (11002100001), we get a palindrome (10011122111001).

The spelling of 10000120011000 in words is "ten trillion, one hundred twenty million, eleven thousand".