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103023013300 = 225229107332011
BaseRepresentation
bin101111111110010100…
…1100110110110110100
3100211220211222022220021
41133330221212312310
53141442342411200
6115154512414524
710305002110234
oct1377451466664
9324824868807
10103023013300
113a7678947a9
1217b72247444
13993abc0acc
144db4737cc4
152a2e82741a
hex17fca66db4

103023013300 has 72 divisors (see below), whose sum is σ = 233430996960. Its totient is φ = 39416227200.

The previous prime is 103023013237. The next prime is 103023013307. The reversal of 103023013300 is 3310320301.

It is a super-2 number, since 2×1030230133002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103023013307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144295 + ... + 476305.

It is an arithmetic number, because the mean of its divisors is an integer number (3242097180).

Almost surely, 2103023013300 is an apocalyptic number.

103023013300 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 103023013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116715498480).

103023013300 is an abundant number, since it is smaller than the sum of its proper divisors (130407983660).

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

103023013300 is a wasteful number, since it uses less digits than its factorization.

103023013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332161 (or 332154 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 103023013300 its reverse (3310320301), we get a palindrome (106333333601).

The spelling of 103023013300 in words is "one hundred three billion, twenty-three million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 107 116 145 214 290 428 535 580 725 1070 1450 2140 2675 2900 3103 5350 6206 10700 12412 15515 31030 62060 77575 155150 310300 332011 664022 1328044 1660055 3320110 6640220 8300275 9628319 16600550 19256638 33201100 35525177 38513276 48141595 71050354 96283190 142100708 177625885 192566380 240707975 355251770 481415950 710503540 888129425 962831900 1030230133 1776258850 2060460266 3552517700 4120920532 5151150665 10302301330 20604602660 25755753325 51511506650 103023013300