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1242120152 = 2371323312393
BaseRepresentation
bin100101000001001…
…0011111111011000
310012120021020112002
41022002103333120
510020440321102
6323130540132
742531563360
oct11202237730
93176236462
101242120152
11588165289
122a7b97648
1316a451050
14bad759a0
15740aa902
hex4a093fd8

1242120152 has 128 divisors (see below), whose sum is σ = 3088834560. Its totient is φ = 454671360.

The previous prime is 1242120107. The next prime is 1242120161. The reversal of 1242120152 is 2510212421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517868 + ... + 520260.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 21242120152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242120152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280).

1242120152 is an abundant number, since it is smaller than the sum of its proper divisors (1846714408).

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

1242120152 is a wasteful number, since it uses less digits than its factorization.

1242120152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1242120152 is about 35243.7250017645. The cubic root of 1242120152 is about 1074.9490228576.

Adding to 1242120152 its reverse (2510212421), we get a palindrome (3752332573).

The spelling of 1242120152 in words is "one billion, two hundred forty-two million, one hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 31 46 52 56 62 91 92 104 124 161 182 184 217 248 299 322 364 403 434 598 644 713 728 806 868 1196 1288 1426 1612 1736 2093 2392 2393 2821 2852 3224 4186 4786 4991 5642 5704 8372 9269 9572 9982 11284 16744 16751 18538 19144 19964 22568 31109 33502 37076 39928 55039 62218 64883 67004 74152 74183 110078 124436 129766 134008 148366 217763 220156 248872 259532 296732 385273 435526 440312 519064 519281 593464 715507 770546 871052 964379 1038562 1431014 1541092 1706209 1742104 1928758 2077124 2862028 3082184 3412418 3857516 4154248 5008549 5724056 6750653 6824836 7715032 10017098 11943463 13501306 13649672 20034196 22180717 23886926 27002612 40068392 44361434 47773852 54005224 88722868 95547704 155265019 177445736 310530038 621060076 1242120152