Search a number
-
+
12202110240 = 253525421063
BaseRepresentation
bin10110101110100110…
…10110110100100000
31011111101102102110220
423113103112310200
5144442220011430
65334445323040
7611244140265
oct132723266440
934441372426
1012202110240
1151a1856031
122446566480
1311c5caa498
1483a7cd26c
154b6395110
hex2d74d6d20

12202110240 has 48 divisors (see below), whose sum is σ = 38436648768. Its totient is φ = 3253895936.

The previous prime is 12202110233. The next prime is 12202110241. The reversal of 12202110240 is 4201120221.

12202110240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122021102402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12202110241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12710052 + ... + 12711011.

It is an arithmetic number, because the mean of its divisors is an integer number (800763516).

Almost surely, 212202110240 is an apocalyptic number.

12202110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202110240 is an abundant number, since it is smaller than the sum of its proper divisors (26234538528).

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

12202110240 is a wasteful number, since it uses less digits than its factorization.

12202110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421081 (or 25421073 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12202110240 its reverse (4201120221), we get a palindrome (16403230461).

The spelling of 12202110240 in words is "twelve billion, two hundred two million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25421063 50842126 76263189 101684252 127105315 152526378 203368504 254210630 305052756 381315945 406737008 508421260 610105512 762631890 813474016 1016842520 1220211024 1525263780 2033685040 2440422048 3050527560 4067370080 6101055120 12202110240