Search a number
-
+
101303213310 = 23251386583943
BaseRepresentation
bin101111001011000100…
…1000101110011111110
3100200110222212102211100
41132112021011303332
53124432110311220
6114312115233530
710214250051135
oct1362611056376
9320428772740
10101303213310
1139a650285a2
12177722a88a6
139725801190
144c9017a91c
15297d861d90
hex1796245cfe

101303213310 has 48 divisors (see below), whose sum is σ = 283649000544. Its totient is φ = 24936175296.

The previous prime is 101303213309. The next prime is 101303213317. The reversal of 101303213310 is 13312303101.

It is a happy number.

101303213310 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 321 + 3 + 310 = 666.

101303213310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1013032133103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303213317) 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, 43290802 + ... + 43293141.

It is an arithmetic number, because the mean of its divisors is an integer number (5909354178).

Almost surely, 2101303213310 is an apocalyptic number.

101303213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101303213310 is an abundant number, since it is smaller than the sum of its proper divisors (182345787234).

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

101303213310 is a wasteful number, since it uses less digits than its factorization.

101303213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86583969 (or 86583966 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101303213310 its reverse (13312303101), we get a palindrome (114615516411).

The spelling of 101303213310 in words is "one hundred one billion, three hundred three million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 86583943 173167886 259751829 432919715 519503658 779255487 865839430 1125591259 1298759145 1558510974 2251182518 2597518290 3376773777 3896277435 5627956295 6753547554 7792554870 10130321331 11255912590 16883868885 20260642662 33767737770 50651606655 101303213310