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131121013110000 = 2435439711009321
BaseRepresentation
bin11101110100000011111101…
…011010001011010011110000
3122012021001020211221122101220
4131310003331122023103300
5114141241313324010000
61142512054543225040
736422115640005414
oct3564037532132360
9565231224848356
10131121013110000
1138863122645831
1212858169ba8180
1358218738b5554
14245441030cd44
151025b59bd61a0
hex7740fd68b4f0

131121013110000 has 200 divisors, whose sum is σ = 424342338347664. Its totient is φ = 34877525760000.

The previous prime is 131121013109953. The next prime is 131121013110029. The reversal of 131121013110000 is 11310121131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6405340 + ... + 17414660.

Almost surely, 2131121013110000 is an apocalyptic number.

131121013110000 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 131121013110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212171169173832).

131121013110000 is an abundant number, since it is smaller than the sum of its proper divisors (293221325237664).

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

131121013110000 is a wasteful number, since it uses less digits than its factorization.

131121013110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11009749 (or 11009728 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131121013110000 its reverse (11310121131), we get a palindrome (131132323231131).

The spelling of 131121013110000 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, thirteen million, one hundred ten thousand".