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11332010320 = 2453117872557
BaseRepresentation
bin10101000110111000…
…01100000101010000
31002020202011202202221
422203130030011100
5141201443312240
65112244150424
7550550332651
oct124334140520
932222152687
1011332010320
114895696094
122243098414
1310b7952467
14797017528
15464cc2a4a
hex2a370c150

11332010320 has 80 divisors (see below), whose sum is σ = 27222686208. Its totient is φ = 4382415360.

The previous prime is 11332010311. The next prime is 11332010329. The reversal of 11332010320 is 2301023311.

It is an interprime number because it is at equal distance from previous prime (11332010311) and next prime (11332010329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11332010294 and 11332010303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332010329) 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 15 ways as a sum of consecutive naturals, for example, 4430482 + ... + 4433038.

Almost surely, 211332010320 is an apocalyptic number.

11332010320 is a gapful number since it is divisible by the number (10) 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 11332010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611343104).

11332010320 is an abundant number, since it is smaller than the sum of its proper divisors (15890675888).

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

11332010320 is a wasteful number, since it uses less digits than its factorization.

11332010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11332010320 its reverse (2301023311), we get a palindrome (13633033631).

The spelling of 11332010320 in words is "eleven billion, three hundred thirty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1787 2480 2557 3574 5114 7148 8935 10228 12785 14296 17870 20456 25570 28592 35740 40912 51140 55397 71480 79267 102280 110794 142960 158534 204560 221588 276985 317068 396335 443176 553970 634136 792670 886352 1107940 1268272 1585340 2215880 3170680 4431760 4569359 6341360 9138718 18277436 22846795 36554872 45693590 73109744 91387180 141650129 182774360 283300258 365548720 566600516 708250645 1133201032 1416501290 2266402064 2833002580 5666005160 11332010320