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1421012000 = 2553563631
BaseRepresentation
bin101010010110010…
…1110110000100000
310200000212220000002
41110230232300200
510402234341000
6353001115132
750133255062
oct12454566040
93600786002
101421012000
1166a140391
12337a88aa8
13198527705
14d6a21732
1584b458d5
hex54b2ec20

1421012000 has 96 divisors (see below), whose sum is σ = 3503170944. Its totient is φ = 566496000.

The previous prime is 1421011981. The next prime is 1421012011. The reversal of 1421012000 is 2101241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251685 + ... + 2252315.

It is an arithmetic number, because the mean of its divisors is an integer number (36491364).

Almost surely, 21421012000 is an apocalyptic number.

1421012000 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 1421012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751585472).

1421012000 is an abundant number, since it is smaller than the sum of its proper divisors (2082158944).

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

1421012000 is an equidigital number, since it uses as much as digits as its factorization.

1421012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1421012000 is about 37696.3128170382. The cubic root of 1421012000 is about 1124.2578150001.

Adding to 1421012000 its reverse (2101241), we get a palindrome (1423113241).

The spelling of 1421012000 in words is "one billion, four hundred twenty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 563 631 800 1000 1126 1262 2000 2252 2524 2815 3155 4000 4504 5048 5630 6310 9008 10096 11260 12620 14075 15775 18016 20192 22520 25240 28150 31550 45040 50480 56300 63100 70375 78875 90080 100960 112600 126200 140750 157750 225200 252400 281500 315500 355253 450400 504800 563000 631000 710506 1126000 1262000 1421012 1776265 2252000 2524000 2842024 3552530 5684048 7105060 8881325 11368096 14210120 17762650 28420240 35525300 44406625 56840480 71050600 88813250 142101200 177626500 284202400 355253000 710506000 1421012000