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1242121314 = 2371912171279
BaseRepresentation
bin100101000001001…
…0100010001100010
310012120021022010010
41022002110101202
510020440340224
6323130545350
742531566640
oct11202242142
93176238103
101242121314
11588166145
122a7b98256
1316a451735
14bad76190
15740aae29
hex4a094462

1242121314 has 64 divisors (see below), whose sum is σ = 2993356800. Its totient is φ = 335674368.

The previous prime is 1242121289. The next prime is 1242121327. The reversal of 1242121314 is 4131212421.

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

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, 970527 + ... + 971805.

It is an arithmetic number, because the mean of its divisors is an integer number (46771200).

Almost surely, 21242121314 is an apocalyptic number.

1242121314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242121314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496678400).

1242121314 is an abundant number, since it is smaller than the sum of its proper divisors (1751235486).

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

1242121314 is a wasteful number, since it uses less digits than its factorization.

1242121314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527.

The product of its digits is 384, while the sum is 21.

The square root of 1242121314 is about 35243.7414869647. The cubic root of 1242121314 is about 1074.9493580614.

Adding to 1242121314 its reverse (4131212421), we get a palindrome (5373333735).

The spelling of 1242121314 in words is "one billion, two hundred forty-two million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1217 1279 2434 2558 3651 3837 7302 7674 8519 8953 17038 17906 23123 24301 25557 26859 46246 48602 51114 53718 69369 72903 138738 145806 161861 170107 323722 340214 485583 510321 971166 1020642 1556543 3113086 4669629 9339258 10895801 21791602 29574317 32687403 59148634 65374806 88722951 177445902 207020219 414040438 621060657 1242121314