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131312021424 = 243371011933793
BaseRepresentation
bin111101001001011001…
…1100110111110110000
3110112221100201211122220
41322102303212332300
54122411334141144
6140153544201040
712326014523463
oct1722263467660
9415840654586
10131312021424
1150764238261
1221548169180
13c4c895b47c
1464d98392da
15363812a919
hex1e92ce6fb0

131312021424 has 160 divisors (see below), whose sum is σ = 353756566464. Its totient is φ = 41936486400.

The previous prime is 131312021413. The next prime is 131312021441. The reversal of 131312021424 is 424120213131.

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 = 131312021394 and 131312021403.

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, 34617672 + ... + 34621464.

Almost surely, 2131312021424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131312021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176878283232).

131312021424 is an abundant number, since it is smaller than the sum of its proper divisors (222444545040).

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

131312021424 is a wasteful number, since it uses less digits than its factorization.

131312021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131312021424 its reverse (424120213131), we get a palindrome (555432234555).

The spelling of 131312021424 in words is "one hundred thirty-one billion, three hundred twelve million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 193 202 222 296 303 386 404 444 579 592 606 772 808 888 1158 1212 1544 1616 1776 2316 2424 3088 3737 3793 4632 4848 7141 7474 7586 9264 11211 11379 14282 14948 15172 19493 21423 22422 22758 28564 29896 30344 38986 42846 44844 45516 57128 58479 59792 60688 77972 85692 89688 91032 114256 116958 140341 155944 171384 179376 182064 233916 280682 311888 342768 383093 421023 467832 561364 721241 732049 766186 842046 935664 1122728 1149279 1442482 1464098 1532372 1684092 2163723 2196147 2245456 2298558 2884964 2928196 3064744 3368184 4327446 4392294 4597116 5769928 5856392 6129488 6736368 8654892 8784588 9194232 11539856 11712784 14174441 17309784 17569176 18388464 27085813 28348882 34619568 35138352 42523323 54171626 56697764 73936949 81257439 85046646 108343252 113395528 147873898 162514878 170093292 216686504 221810847 226791056 295747796 325029756 340186584 433373008 443621694 591495592 650059512 680373168 887243388 1182991184 1300119024 1774486776 2735667113 3548973552 5471334226 8207001339 10942668452 16414002678 21885336904 32828005356 43770673808 65656010712 131312021424