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13140220002300 = 22345260711032423
BaseRepresentation
bin1011111100110111001000…
…1001010011111111111100
31201112012012112011200110000
42333031302021103333330
53210242132310033200
643540311141514300
72524230621063666
oct277156211237774
951465175150400
1013140220002300
114206810698916
1215827b5112990
1374416acb8b91
14335dc0961536
1517bc19864300
hexbf372253ffc

13140220002300 has 360 divisors, whose sum is σ = 42721881624576. Its totient is φ = 3493671834240.

The previous prime is 13140220002271. The next prime is 13140220002313. The reversal of 13140220002300 is 320002204131.

13140220002300 is a `hidden beast` number, since 1 + 3 + 140 + 220 + 0 + 0 + 2 + 300 = 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 119 ways as a sum of consecutive naturals, for example, 5423118889 + ... + 5423121311.

Almost surely, 213140220002300 is an apocalyptic number.

13140220002300 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 13140220002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21360940812288).

13140220002300 is an abundant number, since it is smaller than the sum of its proper divisors (29581661622276).

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

13140220002300 is a wasteful number, since it uses less digits than its factorization.

13140220002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13140220002300 its reverse (320002204131), we get a palindrome (13460222206431).

The spelling of 13140220002300 in words is "thirteen trillion, one hundred forty billion, two hundred twenty million, two thousand, three hundred".