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141130003320 = 23345672712399
BaseRepresentation
bin1000001101110000000…
…0001111001101111000
3111111021120222222220000
42003130000033031320
54303013240101240
6144500105433000
713124222143425
oct2033400171570
9444246888800
10141130003320
1154942231389
122342819b760
1310401a19307
146b8b73ad4c
153a10032430
hex20dc00f378

141130003320 has 320 divisors, whose sum is σ = 483411456000. Its totient is φ = 36920759040.

The previous prime is 141130003307. The next prime is 141130003327. The reversal of 141130003320 is 23300031141.

141130003320 is a `hidden beast` number, since 1 + 41 + 1 + 300 + 0 + 3 + 320 = 666.

It is a super-2 number, since 2×1411300033202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141130003293 and 141130003302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141130003327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58827481 + ... + 58829879.

It is an arithmetic number, because the mean of its divisors is an integer number (1510660800).

Almost surely, 2141130003320 is an apocalyptic number.

141130003320 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 141130003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241705728000).

141130003320 is an abundant number, since it is smaller than the sum of its proper divisors (342281452680).

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

141130003320 is a wasteful number, since it uses less digits than its factorization.

141130003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2747 counting only the distinct ones).

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

Adding to 141130003320 its reverse (23300031141), we get a palindrome (164430034461).

The spelling of 141130003320 in words is "one hundred forty-one billion, one hundred thirty million, three thousand, three hundred twenty".