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101323441120 = 25511537115299
BaseRepresentation
bin101111001011101011…
…0010000001111100000
3100200112101221010011111
41132113112100033200
53130002300103440
6114314120553104
710214614016266
oct1362726201740
9320471833144
10101323441120
1139a75493aa0
1217779022794
139729a641b5
144c92b24436
15298050a4ea
hex17975903e0

101323441120 has 192 divisors, whose sum is σ = 269830310400. Its totient is φ = 35638220800.

The previous prime is 101323441111. The next prime is 101323441147. The reversal of 101323441120 is 21144323101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101323441091 and 101323441100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6615231 + ... + 6630529.

It is an arithmetic number, because the mean of its divisors is an integer number (1405366200).

Almost surely, 2101323441120 is an apocalyptic number.

101323441120 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 101323441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134915155200).

101323441120 is an abundant number, since it is smaller than the sum of its proper divisors (168506869280).

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

101323441120 is a wasteful number, since it uses less digits than its factorization.

101323441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15449 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101323441120 its reverse (21144323101), we get a palindrome (122467764221).

The spelling of 101323441120 in words is "one hundred one billion, three hundred twenty-three million, four hundred forty-one thousand, one hundred twenty".