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243122050100 = 225241173334217
BaseRepresentation
bin1110001001101100110…
…1000001010000110100
3212020112121000210121002
43202123031001100310
512440403221100400
6303404433142432
723364535220456
oct3423315012064
9766477023532
10243122050100
1194120071736
123b1510baa18
1319c0714a057
14baa51862d6
1564ce0aced5
hex389b341434

243122050100 has 72 divisors (see below), whose sum is σ = 540770185368. Its totient is φ = 94819379200.

The previous prime is 243122050097. The next prime is 243122050109. The reversal of 243122050100 is 1050221342.

243122050100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 67463828644 + 175658221456 = 259738^2 + 419116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243122050109) 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, 7088192 + ... + 7122408.

It is an arithmetic number, because the mean of its divisors is an integer number (7510697019).

Almost surely, 2243122050100 is an apocalyptic number.

243122050100 is a gapful number since it is divisible by the number (20) 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 243122050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270385092684).

243122050100 is an abundant number, since it is smaller than the sum of its proper divisors (297648135268).

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

243122050100 is a wasteful number, since it uses less digits than its factorization.

243122050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36005 (or 35998 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 243122050100 its reverse (1050221342), we get a palindrome (244172271442).

The spelling of 243122050100 in words is "two hundred forty-three billion, one hundred twenty-two million, fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1733 2050 3466 4100 6932 8665 17330 34217 34660 43325 68434 71053 86650 136868 142106 171085 173300 284212 342170 355265 684340 710530 855425 1402897 1421060 1710850 1776325 2805794 3421700 3552650 5611588 7014485 7105300 14028970 28057940 35072425 59298061 70144850 118596122 140289700 237192244 296490305 592980610 1185961220 1482451525 2431220501 2964903050 4862441002 5929806100 9724882004 12156102505 24312205010 48624410020 60780512525 121561025050 243122050100