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1301013140 = 225728133071
BaseRepresentation
bin100110110001011…
…1110001010010100
310100200002022111212
41031202332022110
510131024410030
6333033120552
744145300140
oct11542761224
93320068455
101301013140
1160842a479
12303859158
1317970117b
14c4b06220
1579340595
hex4d8be294

1301013140 has 48 divisors (see below), whose sum is σ = 3133638144. Its totient is φ = 444460800.

The previous prime is 1301013139. The next prime is 1301013149. The reversal of 1301013140 is 413101031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301013149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22805 + ... + 55875.

It is an arithmetic number, because the mean of its divisors is an integer number (65284128).

Almost surely, 21301013140 is an apocalyptic number.

1301013140 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 1301013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566819072).

1301013140 is an abundant number, since it is smaller than the sum of its proper divisors (1832625004).

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

1301013140 is a wasteful number, since it uses less digits than its factorization.

1301013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33368 (or 33366 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1301013140 is about 36069.5597422536. The cubic root of 1301013140 is about 1091.6763309234.

Adding to 1301013140 its reverse (413101031), we get a palindrome (1714114171).

The spelling of 1301013140 in words is "one billion, three hundred one million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 2810 3934 5620 7868 9835 19670 33071 39340 66142 132284 165355 231497 330710 462994 661420 925988 1157485 2314970 4629940 9292951 18585902 37171804 46464755 65050657 92929510 130101314 185859020 260202628 325253285 650506570 1301013140