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1012221320 = 235117613023
BaseRepresentation
bin111100010101010…
…100010110001000
32121112200011121112
4330111110112020
54033112040240
6244235225452
734040511365
oct7425242610
92545604545
101012221320
1147a410950
12242ba8288
13131928b36
149860d46c
155dce7665
hex3c554588

1012221320 has 64 divisors (see below), whose sum is σ = 2488631040. Its totient is φ = 367475200.

The previous prime is 1012221317. The next prime is 1012221367. The reversal of 1012221320 is 231222101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012221295 and 1012221304.

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, 333329 + ... + 336351.

It is an arithmetic number, because the mean of its divisors is an integer number (38884860).

Almost surely, 21012221320 is an apocalyptic number.

1012221320 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 1012221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244315520).

1012221320 is an abundant number, since it is smaller than the sum of its proper divisors (1476409720).

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

1012221320 is a wasteful number, since it uses less digits than its factorization.

1012221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1012221320 is about 31815.4258183039. The cubic root of 1012221320 is about 1004.0572894723.

Adding to 1012221320 its reverse (231222101), we get a palindrome (1243443421).

The spelling of 1012221320 in words is "one billion, twelve million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 761 1522 3023 3044 3805 6046 6088 7610 8371 12092 15115 15220 16742 24184 30230 30440 33253 33484 41855 60460 66506 66968 83710 120920 133012 166265 167420 266024 332530 334840 665060 1330120 2300503 4601006 9202012 11502515 18404024 23005030 25305533 46010060 50611066 92020120 101222132 126527665 202444264 253055330 506110660 1012221320