Search a number
-
+
131884325320 = 235111961258617
BaseRepresentation
bin111101011010011101…
…0110001100111001000
3110121102020121220000111
41322310322301213020
54130044341402240
6140330430444104
712346134161116
oct1726472614710
9417366556014
10131884325320
1150a28299690
1221687963634
13c58a3aa927
146551852ab6
15366d4c71ea
hex1eb4eb19c8

131884325320 has 128 divisors (see below), whose sum is σ = 346341225600. Its totient is φ = 44688844800.

The previous prime is 131884325311. The next prime is 131884325327. The reversal of 131884325320 is 23523488131.

It is a super-2 number, since 2×1318843253202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (131884325327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380652 + ... + 639268.

It is an arithmetic number, because the mean of its divisors is an integer number (2705790825).

Almost surely, 2131884325320 is an apocalyptic number.

131884325320 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 131884325320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173170612800).

131884325320 is an abundant number, since it is smaller than the sum of its proper divisors (214456900280).

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

131884325320 is a wasteful number, since it uses less digits than its factorization.

131884325320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258719 (or 258715 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 131884325320 in words is "one hundred thirty-one billion, eight hundred eighty-four million, three hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 61 76 88 95 110 122 152 190 209 220 244 305 380 418 440 488 610 671 760 836 1045 1159 1220 1342 1672 2090 2318 2440 2684 3355 4180 4636 5368 5795 6710 8360 9272 11590 12749 13420 23180 25498 26840 46360 50996 63745 101992 127490 254980 258617 509960 517234 1034468 1293085 2068936 2586170 2844787 4913723 5172340 5689574 9827446 10344680 11379148 14223935 15775637 19654892 22758296 24568615 28447870 31551274 39309784 49137230 54050953 56895740 63102548 78878185 98274460 108101906 113791480 126205096 157756370 173532007 196548920 216203812 270254765 299737103 315512740 347064014 432407624 540509530 599474206 631025480 694128028 867660035 1081019060 1198948412 1388256056 1498685515 1735320070 2162038120 2397896824 2997371030 3297108133 3470640140 5994742060 6594216266 6941280280 11989484120 13188432532 16485540665 26376865064 32971081330 65942162660 131884325320