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1131001200000 = 2732557371213
BaseRepresentation
bin10000011101010100111…
…011001011110110000000
311000010022102021220022100
4100131110323023312000
5122012242301400000
62223324052510400
7144466156402560
oct20352473136600
94003272256270
101131001200000
113a6722768441
1216324201b400
138286470a7b9
143ca52892da0
151e647446a00
hex10754ecbd80

1131001200000 has 1152 divisors, whose sum is σ = 4778681019840. Its totient is φ = 251320320000.

The previous prime is 1131001199969. The next prime is 1131001200041. The reversal of 1131001200000 is 21001311.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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

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 143 ways as a sum of consecutive naturals, for example, 932399394 + ... + 932400606.

Almost surely, 21131001200000 is an apocalyptic number.

1131001200000 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 1131001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389340509920).

1131001200000 is an abundant number, since it is smaller than the sum of its proper divisors (3647679819840).

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

1131001200000 is an equidigital number, since it uses as much as digits as its factorization.

1131001200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1267 counting only the distinct ones).

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

Adding to 1131001200000 its reverse (21001311), we get a palindrome (1131022201311).

The spelling of 1131001200000 in words is "one trillion, one hundred thirty-one billion, one million, two hundred thousand".