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131211222023440 = 245132926316541843
BaseRepresentation
bin11101110101010111111110…
…010001110111110100010000
3122012120200002122221020220001
4131311113332101313310100
5114144231040314222230
61143021334145255344
736431461254062146
oct3565277621676420
9565520078836801
10131211222023440
1138898404187659
1212871744934554
13582a21ba92c40
14245892ac6d596
15102818957d0ca
hex7755fe477d10

131211222023440 has 160 divisors (see below), whose sum is σ = 341153697265920. Its totient is φ = 46598765918208.

The previous prime is 131211222023407. The next prime is 131211222023489. The reversal of 131211222023440 is 44320222112131.

It is a junction number, because it is equal to n+sod(n) for n = 131211222023399 and 131211222023408.

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, 338842 + ... + 16203001.

It is an arithmetic number, because the mean of its divisors is an integer number (2132210607912).

Almost surely, 2131211222023440 is an apocalyptic number.

131211222023440 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 131211222023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170576848632960).

131211222023440 is an abundant number, since it is smaller than the sum of its proper divisors (209942475242480).

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

131211222023440 is a wasteful number, since it uses less digits than its factorization.

131211222023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16542161 (or 16542155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131211222023440 its reverse (44320222112131), we get a palindrome (175531444135571).

The spelling of 131211222023440 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred twenty-two million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 263 290 377 464 520 526 580 754 1040 1052 1160 1315 1508 1885 2104 2320 2630 3016 3419 3770 4208 5260 6032 6838 7540 7627 10520 13676 15080 15254 17095 21040 27352 30160 30508 34190 38135 54704 61016 68380 76270 99151 122032 136760 152540 198302 273520 305080 396604 495755 610160 793208 991510 1586416 1983020 3966040 7932080 16541843 33083686 66167372 82709215 132334744 165418430 215043959 264669488 330836860 430087918 479713447 661673720 860175836 959426894 1075219795 1323347440 1720351672 1918853788 2150439590 2398567235 3440703344 3837707576 4300879180 4350504709 4797134470 6236274811 7675415152 8601758360 8701009418 9594268940 12472549622 17203516720 17402018836 19188537880 21752523545 24945099244 31181374055 34804037672 38377075760 43505047090 49890198488 56556561217 62362748110 69608075344 87010094180 99780396976 113113122434 124725496220 126164636561 174020188360 226226244868 249450992440 252329273122 282782806085 348040376720 452452489736 498901984880 504658546244 565565612170 630823182805 904904979472 1009317092488 1131131224340 1261646365610 1640140275293 2018634184976 2262262448680 2523292731220 3280280550586 4524524897360 5046585462440 6560561101172 8200701376465 10093170924880 13121122202344 16401402752930 26242244404688 32802805505860 65605611011720 131211222023440