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23121222013000 = 235382927890497
BaseRepresentation
bin1010100000111010101000…
…01110011001000001001000
310000212100220201100002022001
411100131110032121001020
511012304230313404000
6121101424234040344
74604311302261346
oct520352416310110
9100770821302261
1023121222013000
11740472306a331
12271506a5790b4
13cb942522bbc7
1459d1048ba996
152a16819b846a
hex150754399048

23121222013000 has 64 divisors (see below), whose sum is σ = 54168925215600. Its totient is φ = 9237332275200.

The previous prime is 23121222012937. The next prime is 23121222013007. The reversal of 23121222013000 is 31022212132.

It can be written as a sum of positive squares in 8 ways, for example, as 496492162884 + 22624729850116 = 704622^2 + 4756546^2 .

It is not an unprimeable number, because it can be changed into a prime (23121222013007) 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, 13116249 + ... + 14774248.

Almost surely, 223121222013000 is an apocalyptic number.

23121222013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121222013000 is an abundant number, since it is smaller than the sum of its proper divisors (31047703202600).

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

23121222013000 is a wasteful number, since it uses less digits than its factorization.

23121222013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27891347 (or 27891333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 23121222013000 its reverse (31022212132), we get a palindrome (23152244225132).

The spelling of 23121222013000 in words is "twenty-three trillion, one hundred twenty-one billion, two hundred twenty-two million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 829 1000 1658 3316 4145 6632 8290 16580 20725 33160 41450 82900 103625 165800 207250 414500 829000 27890497 55780994 111561988 139452485 223123976 278904970 557809940 697262425 1115619880 1394524850 2789049700 3486312125 5578099400 6972624250 13945248500 23121222013 27890497000 46242444026 92484888052 115606110065 184969776104 231212220130 462424440260 578030550325 924848880520 1156061100650 2312122201300 2890152751625 4624244402600 5780305503250 11560611006500 23121222013000