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130121102020 = 225713436197281
BaseRepresentation
bin111100100101111010…
…0100111001011000100
3110102212100210212100211
41321023310213023010
54112442000231040
6135435442445204
712254344055320
oct1711364471304
9412770725324
10130121102020
1150202a73948
1221275363804
13c368cc6230
1464255d0980
1535b87d58ea
hex1e4bd272c4

130121102020 has 384 divisors, whose sum is σ = 354639301632. Its totient is φ = 39016857600.

The previous prime is 130121101997. The next prime is 130121102029. The reversal of 130121102020 is 20201121031.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (130121102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463064280 + ... + 463064560.

It is an arithmetic number, because the mean of its divisors is an integer number (923539848).

Almost surely, 2130121102020 is an apocalyptic number.

130121102020 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 130121102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177319650816).

130121102020 is an abundant number, since it is smaller than the sum of its proper divisors (224518199612).

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

130121102020 is a wasteful number, since it uses less digits than its factorization.

130121102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 130121102020 its reverse (20201121031), we get a palindrome (150322223051).

The spelling of 130121102020 in words is "one hundred thirty billion, one hundred twenty-one million, one hundred two thousand, twenty".