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101122311320 = 2355947878951
BaseRepresentation
bin101111000101101011…
…1000000010010011000
3100200000101110122221122
41132023113000102120
53124044302430240
6114242134024412
710206622315112
oct1361327002230
9320011418848
10101122311320
11399819aa218
12177217a8108
1396c71a2894
144c7412a3b2
15296ca2b4b5
hex178b5c0498

101122311320 has 64 divisors (see below), whose sum is σ = 231455750400. Its totient is φ = 39750601600.

The previous prime is 101122311319. The next prime is 101122311341. The reversal of 101122311320 is 23113221101.

It is a congruent number.

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, 11292845 + ... + 11301795.

It is an arithmetic number, because the mean of its divisors is an integer number (3616496100).

Almost surely, 2101122311320 is an apocalyptic number.

101122311320 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 101122311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115727875200).

101122311320 is an abundant number, since it is smaller than the sum of its proper divisors (130333439080).

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

101122311320 is a wasteful number, since it uses less digits than its factorization.

101122311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13808 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101122311320 its reverse (23113221101), we get a palindrome (124235532421).

The spelling of 101122311320 in words is "one hundred one billion, one hundred twenty-two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 4787 8951 9574 17902 19148 23935 35804 38296 44755 47870 71608 89510 95740 179020 191480 282433 358040 528109 564866 1056218 1129732 1412165 2112436 2259464 2640545 2824330 4224872 5281090 5648660 10562180 11297320 21124360 42848437 85696874 171393748 214242185 342787496 428484370 856968740 1713937480 2528057783 5056115566 10112231132 12640288915 20224462264 25280577830 50561155660 101122311320