Search a number
-
+
22121101240 = 2357743106331
BaseRepresentation
bin10100100110100001…
…010011011110111000
32010002122202101010221
4110212201103132320
5330301000214430
614055015545424
71412116154350
oct244641233670
963078671127
1022121101240
11942186a857
12435438b274
132116c73224
1410dbca5b60
158970a057a
hex5268537b8

22121101240 has 64 divisors (see below), whose sum is σ = 56959925760. Its totient is φ = 7574098560.

The previous prime is 22121101217. The next prime is 22121101259. The reversal of 22121101240 is 4210112122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154875 + ... + 261205.

It is an arithmetic number, because the mean of its divisors is an integer number (889998840).

Almost surely, 222121101240 is an apocalyptic number.

22121101240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121101240 is an abundant number, since it is smaller than the sum of its proper divisors (34838824520).

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

22121101240 is a wasteful number, since it uses less digits than its factorization.

22121101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107092 (or 107088 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22121101240 its reverse (4210112122), we get a palindrome (26331213362).

The spelling of 22121101240 in words is "twenty-two billion, one hundred twenty-one million, one hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 743 1486 2972 3715 5201 5944 7430 10402 14860 20804 26005 29720 41608 52010 104020 106331 208040 212662 425324 531655 744317 850648 1063310 1488634 2126620 2977268 3721585 4253240 5954536 7443170 14886340 29772680 79003933 158007866 316015732 395019665 553027531 632031464 790039330 1106055062 1580078660 2212110124 2765137655 3160157320 4424220248 5530275310 11060550620 22121101240