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1131201000000 = 263256374379
BaseRepresentation
bin10000011101100000110…
…101010111001001000000
311000010211100020210101100
4100131200311113021000
5122013144424000000
62223355551134400
7144504133565061
oct20354065271100
94003740223340
101131201000000
113a6815524105
12163298b14400
1382896c24a56
143ca71222568
151e659c61a00
hex10760d57240

1131201000000 has 1176 divisors, whose sum is σ = 4313182290560. Its totient is φ = 283046400000.

The previous prime is 1131200999993. The next prime is 1131201000011. The reversal of 1131201000000 is 1021311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14318999961 + ... + 14319000039.

Almost surely, 21131201000000 is an apocalyptic number.

1131201000000 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 1131201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156591145280).

1131201000000 is an abundant number, since it is smaller than the sum of its proper divisors (3181981290560).

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

1131201000000 is an frugal number, since it uses more digits than its factorization.

1131201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1131201000000 its reverse (1021311), we get a palindrome (1131202021311).

The spelling of 1131201000000 in words is "one trillion, one hundred thirty-one billion, two hundred one million", and thus it is an aban number.