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1303120420 = 225719148733
BaseRepresentation
bin100110110101100…
…0000101000100100
310100211001101011021
41031223000220210
510132044323140
6333150220524
744202224620
oct11553005044
93324041137
101303120420
11609639728
123044b4744
13179c8b394
14c50d4180
1579609b4a
hex4dac0a24

1303120420 has 48 divisors (see below), whose sum is σ = 3143927808. Its totient is φ = 444435840.

The previous prime is 1303120411. The next prime is 1303120421. The reversal of 1303120420 is 240213031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1303120394 and 1303120403.

It is not an unprimeable number, because it can be changed into a prime (1303120421) 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, 2374 + ... + 51106.

It is an arithmetic number, because the mean of its divisors is an integer number (65498496).

Almost surely, 21303120420 is an apocalyptic number.

1303120420 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 1303120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571963904).

1303120420 is an abundant number, since it is smaller than the sum of its proper divisors (1840807388).

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

1303120420 is a wasteful number, since it uses less digits than its factorization.

1303120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48940 (or 48938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1303120420 is about 36098.7592584565. The cubic root of 1303120420 is about 1092.2654171529.

Adding to 1303120420 its reverse (240213031), we get a palindrome (1543333451).

The spelling of 1303120420 in words is "one billion, three hundred three million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 13370 26740 48733 97466 194932 243665 341131 487330 682262 974660 1364524 1705655 3411310 6822620 9308003 18616006 37232012 46540015 65156021 93080030 130312042 186160060 260624084 325780105 651560210 1303120420