Search a number
-
+
1301004220 = 2251717921377
BaseRepresentation
bin100110110001011…
…1011111110111100
310100200001212021111
41031202323332330
510131024113340
6333033011404
744145232135
oct11542737674
93320055244
101301004220
116084237aa
12303853b64
131796ca0a9
14c4b02c8c
157933caea
hex4d8bbfbc

1301004220 has 48 divisors (see below), whose sum is σ = 2909118240. Its totient is φ = 487030784.

The previous prime is 1301004193. The next prime is 1301004239. The reversal of 1301004220 is 224001031.

It is a super-2 number, since 2×13010042202 = 3385223960915616800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1301004220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50172 + ... + 71548.

It is an arithmetic number, because the mean of its divisors is an integer number (60606630).

Almost surely, 21301004220 is an apocalyptic number.

1301004220 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 1301004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454559120).

1301004220 is an abundant number, since it is smaller than the sum of its proper divisors (1608114020).

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

1301004220 is a wasteful number, since it uses less digits than its factorization.

1301004220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21582 (or 21580 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1301004220 is about 36069.4360920711. The cubic root of 1301004220 is about 1091.6738360024.

Adding to 1301004220 its reverse (224001031), we get a palindrome (1525005251).

The spelling of 1301004220 in words is "one billion, three hundred one million, four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 179 340 358 716 895 1790 3043 3580 6086 12172 15215 21377 30430 42754 60860 85508 106885 213770 363409 427540 726818 1453636 1817045 3634090 3826483 7268180 7652966 15305932 19132415 38264830 65050211 76529660 130100422 260200844 325251055 650502110 1301004220