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1221031000 = 23537224919
BaseRepresentation
bin100100011000111…
…0111010001011000
310011002120210122101
41020301313101120
510000040443000
6321054533144
742154410100
oct11061672130
93132523571
101221031000
11577270732
122a0b071b4
13165c78c67
14b8246200
15722e1e6a
hex48c77458

1221031000 has 96 divisors (see below), whose sum is σ = 3323829600. Its totient is φ = 418622400.

The previous prime is 1221030997. The next prime is 1221031033. The reversal of 1221031000 is 1301221.

It is a super-2 number, since 2×12210310002 = 2981833405922000000, which 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36541 + ... + 61459.

It is an arithmetic number, because the mean of its divisors is an integer number (34623225).

Almost surely, 21221031000 is an apocalyptic number.

1221031000 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 1221031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661914800).

1221031000 is an abundant number, since it is smaller than the sum of its proper divisors (2102798600).

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

1221031000 is a wasteful number, since it uses less digits than its factorization.

1221031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24954 (or 24933 counting only the distinct ones).

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

The square root of 1221031000 is about 34943.2539984473. The cubic root of 1221031000 is about 1068.8306438013.

Adding to 1221031000 its reverse (1301221), we get a palindrome (1222332221).

The spelling of 1221031000 in words is "one billion, two hundred twenty-one million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 24919 49000 49838 99676 124595 174433 199352 249190 348866 498380 622975 697732 872165 996760 1221031 1245950 1395464 1744330 2442062 2491900 3114875 3488660 4360825 4884124 4983800 6105155 6229750 6977320 8721650 9768248 12210310 12459500 17443300 21804125 24420620 24919000 30525775 34886600 43608250 48841240 61051550 87216500 122103100 152628875 174433000 244206200 305257750 610515500 1221031000