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113020202031300 = 2232523753831017639
BaseRepresentation
bin11001101100101010010000…
…111111101001100011000100
3112211011121220012111120122200
4121230222100333221203010
5104303210333210000200
61040212433010554500
732543303652305244
oct3154522077514304
9484147805446580
10113020202031300
1133014664686003
12108140a4b98a30
134b0a9b42c4a25
141dca2c7cadb24
15d0edac7cd800
hex66ca90fe98c4

113020202031300 has 864 divisors, whose sum is σ = 378924999747840. Its totient is φ = 28139125248000.

The previous prime is 113020202031293. The next prime is 113020202031307. The reversal of 113020202031300 is 3130202020311.

113020202031300 is a `hidden beast` number, since 1 + 130 + 2 + 0 + 202 + 0 + 31 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (113020202031293) and next prime (113020202031307).

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

It is not an unprimeable number, because it can be changed into a prime (113020202031307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14795152881 + ... + 14795160519.

It is an arithmetic number, because the mean of its divisors is an integer number (438570601560).

Almost surely, 2113020202031300 is an apocalyptic number.

113020202031300 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 113020202031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189462499873920).

113020202031300 is an abundant number, since it is smaller than the sum of its proper divisors (265904797716540).

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

113020202031300 is a wasteful number, since it uses less digits than its factorization.

113020202031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113020202031300 its reverse (3130202020311), we get a palindrome (116150404051611).

The spelling of 113020202031300 in words is "one hundred thirteen trillion, twenty billion, two hundred two million, thirty-one thousand, three hundred".