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1321428810 = 235133388279
BaseRepresentation
bin100111011000011…
…0110011101001010
310102002111112112210
41032300312131022
510201241210220
6335042445550
744513650062
oct11660663512
93362445483
101321428810
11618a04029
1230a6638b6
131809cb850
14c76dc3a2
157b0246e0
hex4ec3674a

1321428810 has 32 divisors (see below), whose sum is σ = 3415386240. Its totient is φ = 325274688.

The previous prime is 1321428803. The next prime is 1321428817. The reversal of 1321428810 is 188241231.

1321428810 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1321428803) and next prime (1321428817).

It is a super-2 number, since 2×13214288102 = 3492348199796032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1321428817) 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, 1693750 + ... + 1694529.

It is an arithmetic number, because the mean of its divisors is an integer number (106730820).

Almost surely, 21321428810 is an apocalyptic number.

1321428810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321428810 is an abundant number, since it is smaller than the sum of its proper divisors (2093957430).

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

1321428810 is a wasteful number, since it uses less digits than its factorization.

1321428810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388302.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1321428810 is about 36351.4622814544. The cubic root of 1321428810 is about 1097.3569630405.

It can be divided in two parts, 13214 and 28810, that added together give a palindrome (42024).

The spelling of 1321428810 in words is "one billion, three hundred twenty-one million, four hundred twenty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3388279 6776558 10164837 16941395 20329674 33882790 44047627 50824185 88095254 101648370 132142881 220238135 264285762 440476270 660714405 1321428810