Search a number
-
+
103233130221210 = 235111015935223109
BaseRepresentation
bin10111011110001111010110…
…000011100100111010011010
3111112111222202100020002212020
4113132033112003210322122
5102012332422314034320
61003320351215555310
730513230126446503
oct2736172603447232
9445458670202766
10103233130221210
112a990a19800660
12b6b333252bb36
13457aac4a069b2
141b6c71dc57baa
15be04e5cc9940
hex5de3d60e4e9a

103233130221210 has 128 divisors (see below), whose sum is σ = 273419529419520. Its totient is φ = 24736639488000.

The previous prime is 103233130221163. The next prime is 103233130221211. The reversal of 103233130221210 is 12122031332301.

It is not an unprimeable number, because it can be changed into a prime (103233130221211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17153136 + ... + 22376244.

It is an arithmetic number, because the mean of its divisors is an integer number (2136090073590).

Almost surely, 2103233130221210 is an apocalyptic number.

103233130221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103233130221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136709764709760).

103233130221210 is an abundant number, since it is smaller than the sum of its proper divisors (170186399198310).

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

103233130221210 is a wasteful number, since it uses less digits than its factorization.

103233130221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223824.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103233130221210 its reverse (12122031332301), we get a palindrome (115355161553511).

The spelling of 103233130221210 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred thirty million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 593 606 1010 1111 1186 1515 1779 2222 2965 3030 3333 3558 5555 5930 6523 6666 8895 11110 13046 16665 17790 19569 32615 33330 39138 59893 65230 97845 119786 179679 195690 299465 359358 598930 658823 898395 1317646 1796790 1976469 3294115 3952938 5223109 6588230 9882345 10446218 15669327 19764690 26115545 31338654 52231090 57454199 78346635 114908398 156693270 172362597 287270995 344725194 527534009 574541990 861812985 1055068018 1582602027 1723625970 2637670045 3097303637 3165204054 5275340090 5802874099 6194607274 7913010135 9291910911 11605748198 15486518185 15826020270 17408622297 18583821822 29014370495 30973036370 34070340007 34817244594 46459554555 58028740990 68140680014 87043111485 92919109110 102211020021 170351700035 174086222970 204422040042 312827667337 340703400070 511055100105 625655334674 938483002011 1022110200210 1564138336685 1876966004022 3128276673370 3441104340707 4692415010055 6882208681414 9384830020110 10323313022121 17205521703535 20646626044242 34411043407070 51616565110605 103233130221210