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10013223330 = 23251133130557
BaseRepresentation
bin10010101001101010…
…11010100110100010
3221211211122110010100
421110311122212202
5131001341121310
64333334043230
7503064664635
oct112465324642
927754573110
1010013223330
114279226990
121b354a9516
13c3766a226
146adc05c1c
153d9120ec0
hex254d5a9a2

10013223330 has 96 divisors (see below), whose sum is σ = 28487878848. Its totient is φ = 2420035200.

The previous prime is 10013223317. The next prime is 10013223331. The reversal of 10013223330 is 3332231001.

10013223330 is a `hidden beast` number, since 10 + 0 + 1 + 322 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10013223331) 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, 312412 + ... + 342968.

It is an arithmetic number, because the mean of its divisors is an integer number (296748738).

Almost surely, 210013223330 is an apocalyptic number.

10013223330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243939424).

10013223330 is an abundant number, since it is smaller than the sum of its proper divisors (18474655518).

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

10013223330 is a wasteful number, since it uses less digits than its factorization.

10013223330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30912 (or 30909 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10013223330 its reverse (3332231001), we get a palindrome (13345454331).

The spelling of 10013223330 in words is "ten billion, thirteen million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 331 495 662 990 993 1655 1986 2979 3310 3641 4965 5958 7282 9930 10923 14895 18205 21846 29790 30557 32769 36410 54615 61114 65538 91671 109230 152785 163845 183342 275013 305570 327690 336127 458355 550026 672254 916710 1008381 1375065 1680635 2016762 2750130 3025143 3361270 5041905 6050286 10083810 10114367 15125715 20228734 30251430 30343101 50571835 60686202 91029303 101143670 111258037 151715505 182058606 222516074 303431010 333774111 455146515 556290185 667548222 910293030 1001322333 1112580370 1668870555 2002644666 3337741110 5006611665 10013223330