Search a number
-
+
122020352142 = 23132271444043
BaseRepresentation
bin111000110100011111…
…0101101000010001110
3102122221210211010121120
41301220332231002032
53444344202232032
6132015543341410
711546530610613
oct1615076550216
9378853733546
10122020352142
1147826342637
121b794451866
13b677939200
145c977bc50a
15329253862c
hex1c68fad08e

122020352142 has 48 divisors (see below), whose sum is σ = 265232809728. Its totient is φ = 37406098080.

The previous prime is 122020352131. The next prime is 122020352149. The reversal of 122020352142 is 241253020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020352149) 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 23 ways as a sum of consecutive naturals, for example, 52773 + ... + 496815.

It is an arithmetic number, because the mean of its divisors is an integer number (5525683536).

Almost surely, 2122020352142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020352142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132616404864).

122020352142 is an abundant number, since it is smaller than the sum of its proper divisors (143212457586).

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

122020352142 is a wasteful number, since it uses less digits than its factorization.

122020352142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444345 (or 444332 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 122020352142 its reverse (241253020221), we get a palindrome (363273372363).

The spelling of 122020352142 in words is "one hundred twenty-two billion, twenty million, three hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 169 271 338 507 542 813 1014 1626 3523 7046 10569 21138 45799 91598 137397 274794 444043 888086 1332129 2664258 5772559 11545118 17317677 34635354 75043267 120335653 150086534 225129801 240671306 361006959 450259602 722013918 1564363489 3128726978 4693090467 9386180934 20336725357 40673450714 61010176071 122020352142