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23311243242 = 23272175315077
BaseRepresentation
bin10101101101011101…
…010101011111101010
32020011121012212001100
4111231131111133222
5340220134240432
614413052502230
71453450204200
oct255535253752
966147185040
1023311243242
119982653091
124626a7a976
1322766c5671
1411b1d8b070
159167e007c
hex56d7557ea

23311243242 has 72 divisors (see below), whose sum is σ = 58791263076. Its totient is φ = 6656114304.

The previous prime is 23311243129. The next prime is 23311243247. The reversal of 23311243242 is 24234211332.

23311243242 is a `hidden beast` number, since 2 + 3 + 311 + 24 + 324 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15565307121 + 7745936121 = 124761^2 + 88011^2 .

It is a super-2 number, since 2×233112432422 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23311243247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1538608 + ... + 1553684.

Almost surely, 223311243242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23311243242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29395631538).

23311243242 is an abundant number, since it is smaller than the sum of its proper divisors (35480019834).

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

23311243242 is a wasteful number, since it uses less digits than its factorization.

23311243242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16852 (or 16842 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 23311243242 its reverse (24234211332), we get a palindrome (47545454574).

The spelling of 23311243242 in words is "twenty-three billion, three hundred eleven million, two hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1753 3506 5259 10518 12271 15077 15777 24542 30154 31554 36813 45231 73626 85897 90462 105539 110439 135693 171794 211078 220878 257691 271386 316617 515382 633234 738773 773073 949851 1477546 1546146 1899702 2216319 4432638 6648957 13297914 26429981 52859962 79289943 158579886 185009867 237869829 370019734 475739658 555029601 1110059202 1295069069 1665088803 2590138138 3330177606 3885207207 7770414414 11655621621 23311243242