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1321410020 = 225759159977
BaseRepresentation
bin100111011000011…
…0001110111100100
310102002110120202212
41032300301313210
510201240110040
6335042222552
744513541230
oct11660616744
93362416685
101321410020
116189a09a7
1230a654a58
131809c3128
14c76d55c0
157b01dd65
hex4ec31de4

1321410020 has 48 divisors (see below), whose sum is σ = 3225156480. Its totient is φ = 445373184.

The previous prime is 1321410019. The next prime is 1321410023. The reversal of 1321410020 is 200141231.

It is a super-2 number, since 2×13214100202 = 3492248881912800800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1321409977 and 1321410004.

It is not an unprimeable number, because it can be changed into a prime (1321410023) 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, 71729 + ... + 88248.

It is an arithmetic number, because the mean of its divisors is an integer number (67190760).

Almost surely, 21321410020 is an apocalyptic number.

1321410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321410020 is an abundant number, since it is smaller than the sum of its proper divisors (1903746460).

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

1321410020 is a wasteful number, since it uses less digits than its factorization.

1321410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160052 (or 160050 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1321410020 is about 36351.2038315102. The cubic root of 1321410020 is about 1097.3517617425.

Adding to 1321410020 its reverse (200141231), we get a palindrome (1521551251).

The spelling of 1321410020 in words is "one billion, three hundred twenty-one million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 159977 319954 639908 799885 1119839 1599770 2239678 3199540 4479356 5599195 9438643 11198390 18877286 22396780 37754572 47193215 66070501 94386430 132141002 188772860 264282004 330352505 660705010 1321410020