Search a number
-
+
242125323132 = 223711793316967
BaseRepresentation
bin1110000101111111001…
…0110011101101111100
3212010222010111211020110
43201133302303231330
512431333040320012
6303121505550020
723331043201110
oct3413762635574
9763863454213
10242125323132
1193759483a40
123ab13345310
1319aa87b7894
14ba0ca4b740
15647182673c
hex385fcb3b7c

242125323132 has 96 divisors (see below), whose sum is σ = 713280798720. Its totient is φ = 62093603520.

The previous prime is 242125323113. The next prime is 242125323137. The reversal of 242125323132 is 231323521242.

It is a self number, because there is not a number n which added to its sum of digits gives 242125323132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242125323137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585488 + ... + 1731479.

It is an arithmetic number, because the mean of its divisors is an integer number (7430008320).

Almost surely, 2242125323132 is an apocalyptic number.

242125323132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242125323132 is an abundant number, since it is smaller than the sum of its proper divisors (471155475588).

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

242125323132 is a wasteful number, since it uses less digits than its factorization.

242125323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317071 (or 3317069 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 242125323132 its reverse (231323521242), we get a palindrome (473448844374).

The spelling of 242125323132 in words is "two hundred forty-two billion, one hundred twenty-five million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 869 924 948 1106 1659 1738 2212 2607 3318 3476 5214 6083 6636 10428 12166 18249 24332 36498 72996 3316967 6633934 9950901 13267868 19901802 23218769 36486637 39803604 46437538 69656307 72973274 92875076 109459911 139312614 145946548 218919822 255406459 262040393 278625228 437839644 510812918 524080786 766219377 786121179 1021625836 1048161572 1532438754 1572242358 1834282751 2882444323 3064877508 3144484716 3668565502 5502848253 5764888646 7337131004 8647332969 11005696506 11529777292 17294665938 20177110261 22011393012 34589331876 40354220522 60531330783 80708441044 121062661566 242125323132