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1032312221000 = 23531230183921
BaseRepresentation
bin11110000010110101001…
…10100110110101001000
310122200120121120022202222
433001122212212311020
5113403133412033000
62110123201313212
7134403442045664
oct17013246466510
93580517508688
101032312221000
1136888a377875
1214809b335808
13764676c4538
1437d6d9c18a4
151bcbd377a85
hexf05a9a6d48

1032312221000 has 64 divisors (see below), whose sum is σ = 2415835758960. Its totient is φ = 412886400000.

The previous prime is 1032312220999. The next prime is 1032312221029. The reversal of 1032312221000 is 1222132301.

It can be written as a sum of positive squares in 8 ways, for example, as 178207245316 + 854104975684 = 422146^2 + 924178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1032312221000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12259040 + ... + 12342960.

Almost surely, 21032312221000 is an apocalyptic number.

1032312221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032312221000 is an abundant number, since it is smaller than the sum of its proper divisors (1383523537960).

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

1032312221000 is a wasteful number, since it uses less digits than its factorization.

1032312221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96243 (or 96229 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1032312221000 its reverse (1222132301), we get a palindrome (1033534353301).

The spelling of 1032312221000 in words is "one trillion, thirty-two billion, three hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12301 24602 49204 61505 83921 98408 123010 167842 246020 307525 335684 419605 492040 615050 671368 839210 1230100 1537625 1678420 2098025 2460200 3075250 3356840 4196050 6150500 8392100 10490125 12301000 16784200 20980250 41960500 83921000 1032312221 2064624442 4129248884 5161561105 8258497768 10323122210 20646244420 25807805525 41292488840 51615611050 103231222100 129039027625 206462444200 258078055250 516156110500 1032312221000