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4130001101240 = 2357253109364747
BaseRepresentation
bin111100000110010111001…
…111111010000110111000
3112121211020212200220011122
4330012113033322012320
51020131220240214430
612441144000444412
7604245164065100
oct74062717720670
915554225626148
104130001101240
111352583a53113
12568509019708
1323c5c3c97591
14103c70a14200
157266de89ee5
hex3c1973fa1b8

4130001101240 has 192 divisors, whose sum is σ = 11114674005600. Its totient is φ = 1376533896192.

The previous prime is 4130001101221. The next prime is 4130001101243. The reversal of 4130001101240 is 421011000314.

It is a happy number.

It is a super-2 number, since 2×41300011012402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130001101243) 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 47 ways as a sum of consecutive naturals, for example, 11140547 + ... + 11505293.

Almost surely, 24130001101240 is an apocalyptic number.

4130001101240 is a gapful number since it is divisible by the number (40) 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 4130001101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557337002800).

4130001101240 is an abundant number, since it is smaller than the sum of its proper divisors (6984672904360).

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

4130001101240 is a wasteful number, since it uses less digits than its factorization.

4130001101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364934 (or 364923 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 4130001101240 its reverse (421011000314), we get a palindrome (4551012101554).

The spelling of 4130001101240 in words is "four trillion, one hundred thirty billion, one million, one hundred one thousand, two hundred forty".