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11213021330 = 2572171976833
BaseRepresentation
bin10100111000101100…
…10010000010010010
31001221110021111120022
422130112102002102
5140431013140310
65052353543442
7544604052200
oct123426220222
931843244508
1011213021330
114834504985
12220b274b82
1310990c0784
147852c2070
1545961ba55
hex29c592092

11213021330 has 96 divisors (see below), whose sum is σ = 24989641776. Its totient is φ = 3599425536.

The previous prime is 11213021311. The next prime is 11213021353. The reversal of 11213021330 is 3312031211.

It can be written as a sum of positive squares in 8 ways, for example, as 7645228969 + 3567792361 = 87437^2 + 59731^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 11213021299 and 11213021308.

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 47 ways as a sum of consecutive naturals, for example, 1637594 + ... + 1644426.

Almost surely, 211213021330 is an apocalyptic number.

11213021330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11213021330 is an abundant number, since it is smaller than the sum of its proper divisors (13776620446).

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

11213021330 is a wasteful number, since it uses less digits than its factorization.

11213021330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11213021330 its reverse (3312031211), we get a palindrome (14525052541).

The spelling of 11213021330 in words is "eleven billion, two hundred thirteen million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 197 238 245 394 490 595 833 985 1190 1379 1666 1970 2758 3349 4165 6698 6833 6895 8330 9653 13666 13790 16745 19306 23443 33490 34165 46886 47831 48265 68330 95662 96530 116161 117215 164101 232322 234430 239155 328202 334817 478310 580805 669634 813127 820505 1161610 1346101 1626254 1641010 1674085 2692202 3348170 4065635 5691889 6730505 8131270 9422707 11383778 13461010 18845414 22883717 28459445 45767434 47113535 56918890 65958949 94227070 114418585 131917898 160186019 228837170 320372038 329794745 659589490 800930095 1121302133 1601860190 2242604266 5606510665 11213021330