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1413131020 = 225723343321
BaseRepresentation
bin101010000111010…
…1010101100001100
310122111001111022221
41110032222230030
510343230143040
6352120145124
750006262340
oct12416525414
93574044287
101413131020
11665748284
123353081a4
131969c8502
14d596d620
15840da74a
hex543aab0c

1413131020 has 48 divisors (see below), whose sum is σ = 3406148928. Its totient is φ = 482411520.

The previous prime is 1413131003. The next prime is 1413131021. The reversal of 1413131020 is 201313141.

It is a junction number, because it is equal to n+sod(n) for n = 1413130985 and 1413131003.

It is not an unprimeable number, because it can be changed into a prime (1413131021) 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, 10960 + ... + 54280.

It is an arithmetic number, because the mean of its divisors is an integer number (70961436).

Almost surely, 21413131020 is an apocalyptic number.

1413131020 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 1413131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703074464).

1413131020 is an abundant number, since it is smaller than the sum of its proper divisors (1993017908).

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

1413131020 is a wasteful number, since it uses less digits than its factorization.

1413131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43570 (or 43568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1413131020 is about 37591.6349737545. The cubic root of 1413131020 is about 1122.1755703829.

Adding to 1413131020 its reverse (201313141), we get a palindrome (1614444161).

The spelling of 1413131020 in words is "one billion, four hundred thirteen million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 3262 4660 6524 8155 16310 32620 43321 86642 173284 216605 303247 433210 606494 866420 1212988 1516235 3032470 6064940 10093793 20187586 40375172 50468965 70656551 100937930 141313102 201875860 282626204 353282755 706565510 1413131020