Search a number
-
+
21232101130032 = 24313175933924031
BaseRepresentation
bin1001101001111011110111…
…10110000111111100110000
32210011202202122002222120010
410310331323312013330300
510240331320342130112
6113053520445214520
74320653154565212
oct464757366077460
983152678088503
1021232101130032
116846535628261
12246ab0b861440
13bb0242358b30
145358d3c925b2
1526c467d8763c
hex134f7bd87f30

21232101130032 has 160 divisors (see below), whose sum is σ = 63603489116160. Its totient is φ = 6044447969280.

The previous prime is 21232101130021. The next prime is 21232101130103. The reversal of 21232101130032 is 23003110123212.

It is a super-2 number, since 2×212321011300322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21232101129990 and 21232101130008.

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, 16336144 + ... + 17587887.

It is an arithmetic number, because the mean of its divisors is an integer number (397521806976).

Almost surely, 221232101130032 is an apocalyptic number.

It is an amenable number.

21232101130032 is an abundant number, since it is smaller than the sum of its proper divisors (42371387986128).

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

21232101130032 is a wasteful number, since it uses less digits than its factorization.

21232101130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33924131 (or 33924125 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21232101130032 its reverse (23003110123212), we get a palindrome (44235211253244).

The spelling of 21232101130032 in words is "twenty-one trillion, two hundred thirty-two billion, one hundred one million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 59 68 78 102 104 118 136 156 177 204 208 221 236 272 312 354 408 442 472 624 663 708 767 816 884 944 1003 1326 1416 1534 1768 2006 2301 2652 2832 3009 3068 3536 4012 4602 5304 6018 6136 8024 9204 10608 12036 12272 13039 16048 18408 24072 26078 36816 39117 48144 52156 78234 104312 156468 208624 312936 625872 33924031 67848062 101772093 135696124 203544186 271392248 407088372 441012403 542784496 576708527 814176744 882024806 1153417054 1323037209 1628353488 1730125581 1764049612 2001517829 2306834108 2646074418 3460251162 3528099224 4003035658 4613668216 5292148836 6004553487 6920502324 7056198448 7497210851 8006071316 9227336432 10584297672 12009106974 13841004648 14994421702 16012142632 21168595344 22491632553 24018213948 26019731777 27682009296 29988843404 32024285264 34025803093 44983265106 48036427896 52039463554 59977686808 68051606186 78059195331 89966530212 96072855792 102077409279 104078927108 119955373616 136103212372 156118390662 179933060424 204154818558 208157854216 272206424744 312236781324 359866120848 408309637116 416315708432 442335440209 544412849488 624473562648 816619274232 884670880418 1248947125296 1327006320627 1633238548464 1769341760836 2654012641254 3538683521672 5308025282508 7077367043344 10616050565016 21232101130032