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1321428700 = 2252174318077
BaseRepresentation
bin100111011000011…
…0110011011011100
310102002111112101201
41032300312123130
510201241204300
6335042445244
744513646544
oct11660663334
93362445351
101321428700
11618a03a39
1230a663824
131809cb797
14c76dc324
157b02466a
hex4ec366dc

1321428700 has 72 divisors (see below), whose sum is σ = 3106957392. Its totient is φ = 485882880.

The previous prime is 1321428697. The next prime is 1321428727. The reversal of 1321428700 is 78241231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64062 + ... + 82138.

It is an arithmetic number, because the mean of its divisors is an integer number (43152186).

Almost surely, 21321428700 is an apocalyptic number.

1321428700 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 1321428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553478696).

1321428700 is an abundant number, since it is smaller than the sum of its proper divisors (1785528692).

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

1321428700 is a wasteful number, since it uses less digits than its factorization.

1321428700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18151 (or 18144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1321428700 is about 36351.4607684478. The cubic root of 1321428700 is about 1097.3569325913.

Adding to 1321428700 its reverse (78241231), we get a palindrome (1399669931).

It can be divided in two parts, 13214 and 28700, that added together give a palindrome (41914).

The spelling of 1321428700 in words is "one billion, three hundred twenty-one million, four hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1075 1462 1700 2150 2924 3655 4300 7310 14620 18077 18275 36154 36550 72308 73100 90385 180770 307309 361540 451925 614618 777311 903850 1229236 1536545 1554622 1807700 3073090 3109244 3886555 6146180 7682725 7773110 13214287 15365450 15546220 19432775 26428574 30730900 38865550 52857148 66071435 77731100 132142870 264285740 330357175 660714350 1321428700