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1229213106 = 23211351307
BaseRepresentation
bin100100101000100…
…0100110110110010
310011122222111101100
41021101010312302
510004134304411
6321550145230
742314065452
oct11121046662
93148874340
101229213106
1158094a000
122a37b2216
13167882244
14b9375d62
1572dab456
hex49444db2

1229213106 has 48 divisors (see below), whose sum is σ = 2929481568. Its totient is φ = 372481560.

The previous prime is 1229213071. The next prime is 1229213107. The reversal of 1229213106 is 6013129221.

It is a self number, because there is not a number n which added to its sum of digits gives 1229213106.

It is not an unprimeable number, because it can be changed into a prime (1229213107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1696 + ... + 49611.

It is an arithmetic number, because the mean of its divisors is an integer number (61030866).

Almost surely, 21229213106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229213106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464740784).

1229213106 is an abundant number, since it is smaller than the sum of its proper divisors (1700268462).

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

1229213106 is a wasteful number, since it uses less digits than its factorization.

1229213106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51348 (or 51323 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1229213106 is about 35060.1355673363. The cubic root of 1229213106 is about 1071.2127356626.

The spelling of 1229213106 in words is "one billion, two hundred twenty-nine million, two hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 7986 11979 23958 51307 102614 153921 307842 461763 564377 923526 1128754 1693131 3386262 5079393 6208147 10158786 12416294 18624441 37248882 55873323 68289617 111746646 136579234 204868851 409737702 614606553 1229213106