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12210031000 = 235349924469
BaseRepresentation
bin10110101111100011…
…00100100110011000
31011111221022211201101
423113301210212120
5200001231443000
65335331201144
7611401360006
oct132761444630
934457284641
1012210031000
1151a6276012
1224491461b4
1311c782181b
1483b891a76
154b6e0be6a
hex2d7c64998

12210031000 has 64 divisors (see below), whose sum is σ = 28629900000. Its totient is φ = 4874025600.

The previous prime is 12210030983. The next prime is 12210031003. The reversal of 12210031000 is 13001221.

12210031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122100310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210031003) 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 15 ways as a sum of consecutive naturals, for example, 486766 + ... + 511234.

Almost surely, 212210031000 is an apocalyptic number.

12210031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314950000).

12210031000 is an abundant number, since it is smaller than the sum of its proper divisors (16419869000).

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

12210031000 is a wasteful number, since it uses less digits than its factorization.

12210031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24989 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12210031000 its reverse (13001221), we get a palindrome (12223032221).

The spelling of 12210031000 in words is "twelve billion, two hundred ten million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 499 500 998 1000 1996 2495 3992 4990 9980 12475 19960 24469 24950 48938 49900 62375 97876 99800 122345 124750 195752 244690 249500 489380 499000 611725 978760 1223450 2446900 3058625 4893800 6117250 12210031 12234500 24420062 24469000 48840124 61050155 97680248 122100310 244200620 305250775 488401240 610501550 1221003100 1526253875 2442006200 3052507750 6105015500 12210031000