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11302319988 = 2233298594201
BaseRepresentation
bin10101000011010101…
…11011011101110100
31002011200022100022000
422201222323131310
5141121343214423
65105303535300
7550040064141
oct124152733564
932150270260
1011302319988
11487a957323
12223515a530
1310b175840b
147930c93c8
154623aa843
hex2a1abb774

11302319988 has 96 divisors (see below), whose sum is σ = 30355248000. Its totient is φ = 3632428800.

The previous prime is 11302319957. The next prime is 11302319989. The reversal of 11302319988 is 88991320311.

It is a super-2 number, since 2×113023199882 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302319989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2688288 + ... + 2692488.

It is an arithmetic number, because the mean of its divisors is an integer number (316200500).

Almost surely, 211302319988 is an apocalyptic number.

11302319988 is a gapful number since it is divisible by the number (18) 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 11302319988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177624000).

11302319988 is an abundant number, since it is smaller than the sum of its proper divisors (19052928012).

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

11302319988 is a wasteful number, since it uses less digits than its factorization.

11302319988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11302319988 in words is "eleven billion, three hundred two million, three hundred nineteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 859 1044 1566 1718 2577 3132 3436 4201 5154 7731 8402 10308 12603 15462 16804 23193 24911 25206 30924 37809 46386 49822 50412 74733 75618 92772 99644 113427 121829 149466 151236 224199 226854 243658 298932 365487 448398 453708 487316 672597 730974 896796 1096461 1345194 1461948 2192922 2690388 3289383 3608659 4385844 6578766 7217318 10825977 13157532 14434636 21651954 32477931 43303908 64955862 97433793 104651111 129911724 194867586 209302222 313953333 389735172 418604444 627906666 941859999 1255813332 1883719998 2825579997 3767439996 5651159994 11302319988