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1013223321 = 321147713067
BaseRepresentation
bin111100011001001…
…000111110011001
32121121120002002200
4330121020332121
54033341121241
6244312520413
734052153565
oct7431107631
92547502080
101013223321
1147aa35750
122433b0109
13131bb9c36
14987d06a5
155de444b6
hex3c648f99

1013223321 has 48 divisors (see below), whose sum is σ = 1654069248. Its totient is φ = 592351200.

The previous prime is 1013223293. The next prime is 1013223331. The reversal of 1013223321 is 1233223101.

1013223321 is a `hidden beast` number, since 10 + 1 + 322 + 332 + 1 = 666.

It is not a de Polignac number, because 1013223321 - 214 = 1013206937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013223294 and 1013223303.

It is not an unprimeable number, because it can be changed into a prime (1013223331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328830 + ... + 331896.

It is an arithmetic number, because the mean of its divisors is an integer number (34459776).

Almost surely, 21013223321 is an apocalyptic number.

1013223321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013223321 is a deficient number, since it is larger than the sum of its proper divisors (640845927).

1013223321 is a wasteful number, since it uses less digits than its factorization.

1013223321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013223321 is about 31831.1690171756. The cubic root of 1013223321 is about 1004.3884866790.

Adding to 1013223321 its reverse (1233223101), we get a palindrome (2246446422).

The spelling of 1013223321 in words is "one billion, thirteen million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 47 71 99 141 213 423 517 639 781 1551 2343 3067 3337 4653 7029 9201 10011 27603 30033 33737 36707 101211 110121 144149 217757 303633 330363 432447 653271 1297341 1585639 1959813 2395327 4756917 7185981 10234579 14270751 21557943 30703737 92111211 112580369 337741107 1013223321