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11310301332 = 223211227125821
BaseRepresentation
bin10101000100010010…
…11000000010010100
31002012020022211122100
422202021120002110
5141130414120312
65110151002100
7550164655311
oct124211300224
932166284570
1011310301332
114884408880
122237969330
1310b32c11c5
147941a5d08
15462e355dc
hex2a2258094

11310301332 has 72 divisors (see below), whose sum is σ = 31326658272. Its totient is φ = 3412238400.

The previous prime is 11310301291. The next prime is 11310301363. The reversal of 11310301332 is 23310301311.

It is a happy number.

11310301332 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 301 + 332 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26982 + ... + 152802.

It is an arithmetic number, because the mean of its divisors is an integer number (435092476).

Almost surely, 211310301332 is an apocalyptic number.

11310301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663329136).

11310301332 is an abundant number, since it is smaller than the sum of its proper divisors (20016356940).

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

11310301332 is a wasteful number, since it uses less digits than its factorization.

11310301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126069 (or 126064 counting only the distinct ones).

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

Adding to 11310301332 its reverse (23310301311), we get a palindrome (34620602643).

The spelling of 11310301332 in words is "eleven billion, three hundred ten million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 227 396 454 681 908 1362 2043 2497 2724 4086 4994 7491 8172 9988 14982 22473 29964 44946 89892 125821 251642 377463 503284 754926 1132389 1384031 1509852 2264778 2768062 4152093 4529556 5536124 8304186 12456279 16608372 24912558 28561367 49825116 57122734 85684101 114245468 171368202 257052303 314175037 342736404 514104606 628350074 942525111 1028209212 1256700148 1885050222 2827575333 3770100444 5655150666 11310301332