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131001525420 = 223529163461891
BaseRepresentation
bin111101000000001001…
…1001010010010101100
3110112010201111000012220
41322000103022102230
54121242342303140
6140103053155340
712315224410353
oct1720023122254
9415121430186
10131001525420
1150614a44a97
122148018bb50
13c47952711c
1464aa4d299a
15361ac46bd0
hex1e804ca4ac

131001525420 has 96 divisors (see below), whose sum is σ = 381781451520. Its totient is φ = 33522128640.

The previous prime is 131001525419. The next prime is 131001525433. The reversal of 131001525420 is 24525100131.

It is a happy number.

It is a super-2 number, since 2×1310015254202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52675 + ... + 514565.

It is an arithmetic number, because the mean of its divisors is an integer number (3976890120).

Almost surely, 2131001525420 is an apocalyptic number.

131001525420 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 131001525420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190890725760).

131001525420 is an abundant number, since it is smaller than the sum of its proper divisors (250779926100).

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

131001525420 is a wasteful number, since it uses less digits than its factorization.

131001525420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462095 (or 462093 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 131001525420 its reverse (24525100131), we get a palindrome (155526625551).

The spelling of 131001525420 in words is "one hundred thirty-one billion, one million, five hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 163 174 290 326 348 435 489 580 652 815 870 978 1630 1740 1956 2445 3260 4727 4890 9454 9780 14181 18908 23635 28362 47270 56724 70905 94540 141810 283620 461891 923782 1385673 1847564 2309455 2771346 4618910 5542692 6928365 9237820 13394839 13856730 26789678 27713460 40184517 53579356 66974195 75288233 80369034 133948390 150576466 160738068 200922585 225864699 267896780 301152932 376441165 401845170 451729398 752882330 803690340 903458796 1129323495 1505764660 2183358757 2258646990 4366717514 4517293980 6550076271 8733435028 10916793785 13100152542 21833587570 26200305084 32750381355 43667175140 65500762710 131001525420