Search a number
-
+
1323102420 = 223258878287
BaseRepresentation
bin100111011011100…
…1111000011010100
310102012122120022100
41032313033003110
510202203234140
6335142402100
744534120313
oct11667170324
93365576270
101323102420
11619947482
1230b130330
13181166553
14c7a1627a
157b255530
hex4edcf0d4

1323102420 has 72 divisors (see below), whose sum is σ = 4018420224. Its totient is φ = 352387008.

The previous prime is 1323102377. The next prime is 1323102433. The reversal of 1323102420 is 242013231.

1323102420 is a `hidden beast` number, since 13 + 231 + 0 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1323102393 and 1323102402.

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, 155517 + ... + 163803.

It is an arithmetic number, because the mean of its divisors is an integer number (55811392).

Almost surely, 21323102420 is an apocalyptic number.

1323102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323102420 is an abundant number, since it is smaller than the sum of its proper divisors (2695317804).

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

1323102420 is a wasteful number, since it uses less digits than its factorization.

1323102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1323102420 is about 36374.4748415699. The cubic root of 1323102420 is about 1097.8200407786.

Adding to 1323102420 its reverse (242013231), we get a palindrome (1565115651).

The spelling of 1323102420 in words is "one billion, three hundred twenty-three million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 887 1774 2661 3548 4435 5322 7983 8287 8870 10644 13305 15966 16574 17740 24861 26610 31932 33148 39915 41435 49722 53220 74583 79830 82870 99444 124305 149166 159660 165740 248610 298332 372915 497220 745830 1491660 7350569 14701138 22051707 29402276 36752845 44103414 66155121 73505690 88206828 110258535 132310242 147011380 220517070 264620484 330775605 441034140 661551210 1323102420