Search a number
-
+
100320131320 = 2352327960013
BaseRepresentation
bin101110101101110001…
…0111011100011111000
3100120221111000200212021
41131123202323203320
53120423423200240
6114030400324224
710151012021653
oct1353342734370
9316844020767
10100320131320
113960010a542
1217539013674
1395c9c38666
144bd979489a
1529223c354a
hex175b8bb8f8

100320131320 has 96 divisors (see below), whose sum is σ = 238951742400. Its totient is φ = 37896857856.

The previous prime is 100320131267. The next prime is 100320131321. The reversal of 100320131320 is 23131023001.

It is a junction number, because it is equal to n+sod(n) for n = 100320131294 and 100320131303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320131321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641634 + ... + 1701646.

It is an arithmetic number, because the mean of its divisors is an integer number (2489080650).

Almost surely, 2100320131320 is an apocalyptic number.

100320131320 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 100320131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119475871200).

100320131320 is an abundant number, since it is smaller than the sum of its proper divisors (138631611080).

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

100320131320 is a wasteful number, since it uses less digits than its factorization.

100320131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60149 (or 60122 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100320131320 its reverse (23131023001), we get a palindrome (123451154321).

The spelling of 100320131320 in words is "one hundred billion, three hundred twenty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 395 460 529 632 790 920 1058 1580 1817 2116 2645 3160 3634 4232 5290 7268 9085 10580 14536 18170 21160 36340 41791 60013 72680 83582 120026 167164 208955 240052 300065 334328 417910 480104 600130 835820 1200260 1380299 1671640 2400520 2760598 4741027 5521196 6901495 9482054 11042392 13802990 18964108 23705135 27605980 31746877 37928216 47410270 55211960 63493754 94820540 109043621 126987508 158734385 189641080 218087242 253975016 317468770 436174484 545218105 634937540 872348968 1090436210 1269875080 2180872420 2508003283 4361744840 5016006566 10032013132 12540016415 20064026264 25080032830 50160065660 100320131320