Search a number
-
+
1321135410 = 235723273527
BaseRepresentation
bin100111010111110…
…1110110100110010
310102001221122002010
41032233232310302
510201202313120
6335032303350
744511315510
oct11657566462
93361848063
101321135410
11618823651
1230a541b56
1318092813a
14c76634b0
157aeb77e0
hex4ebeed32

1321135410 has 64 divisors (see below), whose sum is σ = 3781251072. Its totient is φ = 288843456.

The previous prime is 1321135381. The next prime is 1321135429. The reversal of 1321135410 is 145311231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131934 + ... + 141593.

It is an arithmetic number, because the mean of its divisors is an integer number (59082048).

Almost surely, 21321135410 is an apocalyptic number.

1321135410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321135410 is an abundant number, since it is smaller than the sum of its proper divisors (2460115662).

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

1321135410 is a wasteful number, since it uses less digits than its factorization.

1321135410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273567.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1321135410 is about 36347.4264563531. The cubic root of 1321135410 is about 1097.2757407649.

Adding to 1321135410 its reverse (145311231), we get a palindrome (1466446641).

The spelling of 1321135410 in words is "one billion, three hundred twenty-one million, one hundred thirty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 273527 547054 820581 1367635 1641162 1914689 2735270 3829378 4102905 5744067 6291121 8205810 9573445 11488134 12582242 18873363 19146890 28720335 31455605 37746726 44037847 57440670 62911210 88075694 94366815 132113541 188733630 220189235 264227082 440378470 660567705 1321135410