Search a number
-
+
131222332320 = 2535571147869
BaseRepresentation
bin111101000110101110…
…1011110001110100000
3110112201002222011100020
41322031131132032200
54122220404113240
6140141021553440
712323545264302
oct1721535361640
9415632864306
10131222332320
1150718649532
1221522115880
13c4b31b7bb1
1464cb96d972
1536303110d0
hex1e8d75e3a0

131222332320 has 96 divisors (see below), whose sum is σ = 413431361280. Its totient is φ = 34985763840.

The previous prime is 131222332301. The next prime is 131222332357. The reversal of 131222332320 is 23233222131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717346 + ... + 2765214.

It is an arithmetic number, because the mean of its divisors is an integer number (4306576680).

Almost surely, 2131222332320 is an apocalyptic number.

131222332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131222332320 is an abundant number, since it is smaller than the sum of its proper divisors (282209028960).

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

131222332320 is a wasteful number, since it uses less digits than its factorization.

131222332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53598 (or 53590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131222332320 its reverse (23233222131), we get a palindrome (154455554451).

The spelling of 131222332320 in words is "one hundred thirty-one billion, two hundred twenty-two million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5711 11422 17133 22844 28555 34266 45688 47869 57110 68532 85665 91376 95738 114220 137064 143607 171330 182752 191476 228440 239345 274128 287214 342660 382952 456880 478690 548256 574428 685320 718035 765904 913760 957380 1148856 1370640 1436070 1531808 1914760 2297712 2741280 2872140 3829520 4595424 5744280 7659040 11488560 22977120 273379859 546759718 820139577 1093519436 1366899295 1640279154 2187038872 2733798590 3280558308 4100697885 4374077744 5467597180 6561116616 8201395770 8748155488 10935194360 13122233232 16402791540 21870388720 26244466464 32805583080 43740777440 65611166160 131222332320