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11330520000 = 2635494421
BaseRepresentation
bin10101000110101101…
…00000001111000000
31002020122101001102220
422203112200033000
5141201103120000
65112152211040
7550531555002
oct124326401700
932218331386
1011330520000
114894868418
122242699a80
1310b7550007
14796b4a372
15464acb1a0
hex2a35a03c0

11330520000 has 140 divisors (see below), whose sum is σ = 37461739656. Its totient is φ = 3021440000.

The previous prime is 11330519999. The next prime is 11330520001. The reversal of 11330520000 is 2503311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11330519999) and next prime (11330520001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330520001) 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 19 ways as a sum of consecutive naturals, for example, 72790 + ... + 167210.

Almost surely, 211330520000 is an apocalyptic number.

11330520000 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 11330520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18730869828).

11330520000 is an abundant number, since it is smaller than the sum of its proper divisors (26131219656).

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

11330520000 is an frugal number, since it uses more digits than its factorization.

11330520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94456 (or 94431 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The spelling of 11330520000 in words is "eleven billion, three hundred thirty million, five hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 94421 120000 188842 283263 377684 472105 566526 755368 944210 1133052 1416315 1510736 1888420 2266104 2360525 2832630 3021472 3776840 4532208 4721050 5665260 6042944 7081575 7553680 9064416 9442100 11330520 11802625 14163150 15107360 18128832 18884200 22661040 23605250 28326300 30214720 35407875 37768400 45322080 47210500 56652600 59013125 70815750 75536800 90644160 94421000 113305200 118026250 141631500 151073600 177039375 188842000 226610400 236052500 283263000 354078750 377684000 453220800 472105000 566526000 708157500 755368000 944210000 1133052000 1416315000 1888420000 2266104000 2832630000 3776840000 5665260000 11330520000