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11032002301320 = 2332571113377571093
BaseRepresentation
bin1010000010001001011010…
…0101000000110110001000
31110001122112012122000201200
42200202112211000312020
52421222020042120240
635244010515544200
72216015205230340
oct240422645006610
943048465560650
1011032002301320
113573711771620
1212a20ab2bb060
1362040c58ab20
142a1d478b7d20
15141e7ae9c930
hexa0896940d88

11032002301320 has 1536 divisors, whose sum is σ = 49551323028480. Its totient is φ = 2054237552640.

The previous prime is 11032002301303. The next prime is 11032002301337. The reversal of 11032002301320 is 2310320023011.

11032002301320 is a `hidden beast` number, since 1 + 1 + 0 + 320 + 0 + 23 + 0 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (11032002301303) and next prime (11032002301337).

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

It is a junction number, because it is equal to n+sod(n) for n = 11032002301293 and 11032002301302.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10093322694 + ... + 10093323786.

It is an arithmetic number, because the mean of its divisors is an integer number (32259975930).

Almost surely, 211032002301320 is an apocalyptic number.

11032002301320 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 11032002301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775661514240).

11032002301320 is an abundant number, since it is smaller than the sum of its proper divisors (38519320727160).

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

11032002301320 is a wasteful number, since it uses less digits than its factorization.

11032002301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11032002301320 its reverse (2310320023011), we get a palindrome (13342322324331).

The spelling of 11032002301320 in words is "eleven trillion, thirty-two billion, two million, three hundred one thousand, three hundred twenty".