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231141760380 = 223551721113259
BaseRepresentation
bin1101011101000100011…
…1110101110101111100
3211002121200000000200000
43113101013311311330
512241334242313010
6254103550034300
722461623355216
oct3272107656574
9732550000600
10231141760380
118a032552753
1238968aa8990
1318a480c6b1b
14b28a0195b6
15602c4327c0
hex35d11f5d7c

231141760380 has 288 divisors, whose sum is σ = 773575246080. Its totient is φ = 57732756480.

The previous prime is 231141760373. The next prime is 231141760391. The reversal of 231141760380 is 83067141132.

It is a happy number.

231141760380 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 41 + 7 + 603 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17426191 + ... + 17439449.

It is an arithmetic number, because the mean of its divisors is an integer number (2686025160).

Almost surely, 2231141760380 is an apocalyptic number.

231141760380 is a gapful number since it is divisible by the number (20) 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 231141760380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386787623040).

231141760380 is an abundant number, since it is smaller than the sum of its proper divisors (542433485700).

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

231141760380 is a wasteful number, since it uses less digits than its factorization.

231141760380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13511 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 231141760380 in words is "two hundred thirty-one billion, one hundred forty-one million, seven hundred sixty thousand, three hundred eighty".