Search a number
-
+
131242001424 = 24329432192629
BaseRepresentation
bin111101000111010100…
…0100000010000010000
3110112202110222110021120
41322032220200100100
54122240423021144
6140143003322240
712324204414522
oct1721650402020
9415673873246
10131242001424
1150728763196
1221528820380
13c4b72b3811
1464d040da12
153631de8e19
hex1e8ea20410

131242001424 has 80 divisors (see below), whose sum is σ = 358889678400. Its totient is φ = 41256488448.

The previous prime is 131242001417. The next prime is 131242001437. The reversal of 131242001424 is 424100242131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131242001394 and 131242001403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036459 + ... + 1156170.

It is an arithmetic number, because the mean of its divisors is an integer number (4486120980).

Almost surely, 2131242001424 is an apocalyptic number.

It is an amenable number.

131242001424 is an abundant number, since it is smaller than the sum of its proper divisors (227647676976).

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

131242001424 is a wasteful number, since it uses less digits than its factorization.

131242001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192712 (or 2192706 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131242001424 its reverse (424100242131), we get a palindrome (555342243555).

The spelling of 131242001424 in words is "one hundred thirty-one billion, two hundred forty-two million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 3741 4988 7482 9976 14964 19952 29928 59856 2192629 4385258 6577887 8770516 13155774 17541032 26311548 35082064 52623096 63586241 94283047 105246192 127172482 188566094 190758723 254344964 282849141 377132188 381517446 508689928 565698282 754264376 763034892 1017379856 1131396564 1508528752 1526069784 2262793128 2734208363 3052139568 4525586256 5468416726 8202625089 10936833452 16405250178 21873666904 32810500356 43747333808 65621000712 131242001424