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23131221000 = 233539078501
BaseRepresentation
bin10101100010101110…
…100110110000001000
32012201001110202221220
4111202232212300020
5334333043033000
614343142202040
71446133064046
oct254256466010
965631422856
1023131221000
11989aa75778
124596723320
132248314624
1411960c9396
15905ad01a0
hex562ba6c08

23131221000 has 128 divisors (see below), whose sum is σ = 72257477760. Its totient is φ = 6160800000.

The previous prime is 23131220971. The next prime is 23131221013. The reversal of 23131221000 is 12213132.

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

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, 2716750 + ... + 2725250.

It is an arithmetic number, because the mean of its divisors is an integer number (564511545).

Almost surely, 223131221000 is an apocalyptic number.

23131221000 is a gapful number since it is divisible by the number (20) 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 23131221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36128738880).

23131221000 is an abundant number, since it is smaller than the sum of its proper divisors (49126256760).

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

23131221000 is a wasteful number, since it uses less digits than its factorization.

23131221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23131221000 its reverse (12213132), we get a palindrome (23143434132).

The spelling of 23131221000 in words is "twenty-three billion, one hundred thirty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 907 1000 1500 1814 2721 3000 3628 4535 5442 7256 8501 9070 10884 13605 17002 18140 21768 22675 25503 27210 34004 36280 42505 45350 51006 54420 68008 68025 85010 90700 102012 108840 113375 127515 136050 170020 181400 204024 212525 226750 255030 272100 340040 340125 425050 453500 510060 544200 637575 680250 850100 907000 1020120 1062625 1275150 1360500 1700200 2125250 2550300 2721000 3187875 4250500 5100600 6375750 7710407 8501000 12751500 15420814 23131221 25503000 30841628 38552035 46262442 61683256 77104070 92524884 115656105 154208140 185049768 192760175 231312210 308416280 385520350 462624420 578280525 771040700 925248840 963800875 1156561050 1542081400 1927601750 2313122100 2891402625 3855203500 4626244200 5782805250 7710407000 11565610500 23131221000