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13132111002300 = 223252411475924113
BaseRepresentation
bin1011111100011000111011…
…0011111011101010111100
31201111102021101122210122200
42333012032303323222330
53210124030404033200
643532450345511500
72523522644525403
oct277061663735274
951442241583580
1013132111002300
11420332a342124
1215811114a2590
13743478000924
14335851a0263a
1517b8e29d7800
hexbf18ecfbabc

13132111002300 has 216 divisors, whose sum is σ = 42170426232480. Its totient is φ = 3416111001600.

The previous prime is 13132111002293. The next prime is 13132111002331. The reversal of 13132111002300 is 320011123131.

13132111002300 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 110 + 0 + 230 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 544595044 + ... + 544619156.

It is an arithmetic number, because the mean of its divisors is an integer number (195233454780).

Almost surely, 213132111002300 is an apocalyptic number.

13132111002300 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 13132111002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21085213116240).

13132111002300 is an abundant number, since it is smaller than the sum of its proper divisors (29038315230180).

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

13132111002300 is a wasteful number, since it uses less digits than its factorization.

13132111002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38933 (or 38923 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13132111002300 its reverse (320011123131), we get a palindrome (13452122125431).

The spelling of 13132111002300 in words is "thirteen trillion, one hundred thirty-two billion, one hundred eleven million, two thousand, three hundred".