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11013312330 = 2325378339847
BaseRepresentation
bin10100100000111000…
…11100111101001010
31001102112111020022200
422100130130331022
5140023401443310
65020501301030
7536630416206
oct122034347512
931375436280
1011013312330
114741800619
122174404776
131066908a77
14766977b06
15446d1d9c0
hex29071cf4a

11013312330 has 96 divisors (see below), whose sum is σ = 29763586944. Its totient is φ = 2823009408.

The previous prime is 11013312329. The next prime is 11013312337. The reversal of 11013312330 is 3321331011.

It is a happy number.

11013312330 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 331 + 2 + 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 (11013312337) 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, 256467 + ... + 296313.

It is an arithmetic number, because the mean of its divisors is an integer number (310037364).

Almost surely, 211013312330 is an apocalyptic number.

11013312330 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 11013312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881793472).

11013312330 is an abundant number, since it is smaller than the sum of its proper divisors (18750274614).

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

11013312330 is a wasteful number, since it uses less digits than its factorization.

11013312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39980 (or 39977 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11013312330 its reverse (3321331011), we get a palindrome (14334643341).

The spelling of 11013312330 in words is "eleven billion, thirteen million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 83 90 111 166 185 222 249 333 370 415 498 555 666 747 830 1110 1245 1494 1665 2490 3071 3330 3735 6142 7470 9213 15355 18426 27639 30710 39847 46065 55278 79694 92130 119541 138195 199235 239082 276390 358623 398470 597705 717246 1195410 1474339 1793115 2948678 3307301 3586230 4423017 6614602 7371695 8846034 9921903 13269051 14743390 16536505 19843806 22115085 26538102 29765709 33073010 44230170 49609515 59531418 66345255 99219030 122370137 132690510 148828545 244740274 297657090 367110411 611850685 734220822 1101331233 1223701370 1835552055 2202662466 3671104110 5506656165 11013312330