Search a number
-
+
243323020101 = 37292814313299
BaseRepresentation
bin1110001010011100101…
…1101010001101000101
3212021001121012010121110
43202213023222031011
512441311143120401
6303440412435233
723402525355030
oct3424713521505
9767047163543
10243323020101
1194213557447
123b1a8478b19
1319c39983a05
14bac3b3c017
1564e1a599d6
hex38a72ea345

243323020101 has 64 divisors (see below), whose sum is σ = 385938432000. Its totient is φ = 133418611200.

The previous prime is 243323020081. The next prime is 243323020121. The reversal of 243323020101 is 101020323342.

243323020101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243323020081) and next prime (243323020121).

It is not a de Polignac number, because 243323020101 - 223 = 243314631493 is a prime.

It is a super-2 number, since 2×2433230201012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243323020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73754950 + ... + 73758248.

It is an arithmetic number, because the mean of its divisors is an integer number (6030288000).

Almost surely, 2243323020101 is an apocalyptic number.

243323020101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

243323020101 is a deficient number, since it is larger than the sum of its proper divisors (142615411899).

243323020101 is a wasteful number, since it uses less digits than its factorization.

243323020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 243323020101 its reverse (101020323342), we get a palindrome (344343343443).

The spelling of 243323020101 in words is "two hundred forty-three billion, three hundred twenty-three million, twenty thousand, one hundred one".

Divisors: 1 3 7 21 29 87 203 281 431 609 843 1293 1967 3017 3299 5901 8149 9051 9897 12499 23093 24447 37497 57043 69279 87493 95671 121111 171129 262479 287013 363333 669697 847777 927019 1421869 2009091 2543331 2781057 3512219 4265607 6489133 9953083 10536657 19467399 24585533 26883551 29859249 41234201 73756599 80650653 123702603 188184857 288639407 399545189 564554571 865918221 1198635567 2796816323 8390448969 11586810481 34760431443 81107673367 243323020101