Search a number
-
+
210001310103232 = 2683301134913761
BaseRepresentation
bin101111101111111010111101…
…011111011011011011000000
31000112112221002101001110011201
4233233322331133123123000
5210011130140341300412
62022345134154350544
762143044142452064
oct5757727537333300
91015487071043151
10210001310103232
1160a0506791530a
121b6777b1a2b454
13902406697bbcb
1439c0190b43aa4
15194293901ae57
hexbefebd7db6c0

210001310103232 has 112 divisors (see below), whose sum is σ = 422115209518464. Its totient is φ = 103643864576000.

The previous prime is 210001310103217. The next prime is 210001310103311. The reversal of 210001310103232 is 232301013100012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55836560232 + ... + 55836563992.

It is an arithmetic number, because the mean of its divisors is an integer number (3768885799272).

Almost surely, 2210001310103232 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 210001310103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211057604759232).

210001310103232 is an abundant number, since it is smaller than the sum of its proper divisors (212113899415232).

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

210001310103232 is a wasteful number, since it uses less digits than its factorization.

210001310103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10358 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 210001310103232 its reverse (232301013100012), we get a palindrome (442302323203244).

The spelling of 210001310103232 in words is "two hundred ten trillion, one billion, three hundred ten million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 2656 3011 3491 3761 5312 6022 6982 7522 12044 13964 15044 24088 27928 30088 48176 55856 60176 96352 111712 120352 192704 223424 240704 249913 289753 312163 499826 579506 624326 999652 1159012 1248652 1999304 2318024 2497304 3998608 4636048 4994608 7997216 9272096 9989216 10511401 11324371 13129651 15994432 18544192 19978432 21022802 22648742 26259302 42045604 45297484 52518604 84091208 90594968 105037208 168182416 181189936 210074416 336364832 362379872 420148832 672729664 724759744 840297664 872446283 939922793 1089761033 1744892566 1879845586 2179522066 3489785132 3759691172 4359044132 6979570264 7519382344 8718088264 13959140528 15038764688 17436176528 27918281056 30077529376 34872353056 39533379161 55836562112 60155058752 69744706112 79066758322 158133516644 316267033288 632534066576 1265068133152 2530136266304 3281270470363 6562540940726 13125081881452 26250163762904 52500327525808 105000655051616 210001310103232