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130210133131320 = 2335111721669204511
BaseRepresentation
bin11101100110110011101000…
…101110110100000000111000
3122002000222010001120101020020
4131212303220232310000320
5114031330323040200240
61140533413120130440
736266241324642414
oct3546635056640070
9562028101511206
10130210133131320
1138541897643a20
121272b71a166a20
1357869bc035648
1424222bdd79d44
15100c0e74270d0
hex766ce8bb4038

130210133131320 has 384 divisors, whose sum is σ = 452957431449600. Its totient is φ = 29691318067200.

The previous prime is 130210133131109. The next prime is 130210133131327. The reversal of 130210133131320 is 23131331012031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130210133131327) 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 95 ways as a sum of consecutive naturals, for example, 636587865 + ... + 636792375.

It is an arithmetic number, because the mean of its divisors is an integer number (1179576644400).

Almost surely, 2130210133131320 is an apocalyptic number.

130210133131320 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 130210133131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226478715724800).

130210133131320 is an abundant number, since it is smaller than the sum of its proper divisors (322747298318280).

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

130210133131320 is a wasteful number, since it uses less digits than its factorization.

130210133131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206239 (or 206218 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 130210133131320 its reverse (23131331012031), we get a palindrome (153341464143351).

The spelling of 130210133131320 in words is "one hundred thirty trillion, two hundred ten billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred twenty".