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1131200103000 = 2335311149230059
BaseRepresentation
bin10000011101100000110…
…001111100001001011000
311000010211021120012221010
4100131200301330021120
5122013144211244000
62223355520013520
7144504123140652
oct20354061741130
94003737505833
101131200103000
113a6814a71190
121632987612a0
138289699c696
143ca7106b6d2
151e659b35d50
hex10760c7c258

1131200103000 has 256 divisors, whose sum is σ = 3876050880000. Its totient is φ = 272388672000.

The previous prime is 1131200102951. The next prime is 1131200103029. The reversal of 1131200103000 is 3010021311.

It is a super-2 number, since 2×11312001030002 (a number of 25 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4801971 + ... + 5032029.

It is an arithmetic number, because the mean of its divisors is an integer number (15140823750).

Almost surely, 21131200103000 is an apocalyptic number.

1131200103000 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 1131200103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938025440000).

1131200103000 is an abundant number, since it is smaller than the sum of its proper divisors (2744850777000).

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

1131200103000 is a wasteful number, since it uses less digits than its factorization.

1131200103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230243 (or 230229 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1131200103000 its reverse (3010021311), we get a palindrome (1134210124311).

The spelling of 1131200103000 in words is "one trillion, one hundred thirty-one billion, two hundred million, one hundred three thousand".