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13201002111000 = 23353112197367503
BaseRepresentation
bin1100000000011001100100…
…0010101010000000011000
31201202000002112102201122010
43000012121002222000120
53212241123020023000
644024242345225520
72531512065350664
oct300063102520030
951660075381563
1013201002111000
11422a5715a6800
121592538a922a0
13749b067a3582
14338d092438a4
1517d5c5aa7d50
hexc01990aa018

13201002111000 has 768 divisors, whose sum is σ = 45716295905280. Its totient is φ = 3169009536000.

The previous prime is 13201002110981. The next prime is 13201002111001. The reversal of 13201002111000 is 11120010231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201002111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26244536749 + ... + 26244537251.

It is an arithmetic number, because the mean of its divisors is an integer number (59526426960).

Almost surely, 213201002111000 is an apocalyptic number.

13201002111000 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 13201002111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22858147952640).

13201002111000 is an abundant number, since it is smaller than the sum of its proper divisors (32515293794280).

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

13201002111000 is a wasteful number, since it uses less digits than its factorization.

13201002111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1088 counting only the distinct ones).

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

Adding to 13201002111000 its reverse (11120010231), we get a palindrome (13212122121231).

The spelling of 13201002111000 in words is "thirteen trillion, two hundred one billion, two million, one hundred eleven thousand".