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11320520680 = 2357269150299
BaseRepresentation
bin10101000101100000…
…10110111111101000
31002012221120000221201
422202300112333220
5141141023130210
65111154013544
7550350560320
oct124260267750
932187500851
1011320520680
11488a158817
12223b2772b4
1310b545b861
147956a6280
15463ca353a
hex2a2c16fe8

11320520680 has 64 divisors (see below), whose sum is σ = 29218320000. Its totient is φ = 3866866944.

The previous prime is 11320520621. The next prime is 11320520681. The reversal of 11320520680 is 8602502311.

11320520680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11320520681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171 + ... + 150469.

It is an arithmetic number, because the mean of its divisors is an integer number (456536250).

Almost surely, 211320520680 is an apocalyptic number.

11320520680 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 11320520680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609160000).

11320520680 is an abundant number, since it is smaller than the sum of its proper divisors (17897799320).

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

11320520680 is a wasteful number, since it uses less digits than its factorization.

11320520680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150586 (or 150582 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11320520680 in words is "eleven billion, three hundred twenty million, five hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 269 280 538 1076 1345 1883 2152 2690 3766 5380 7532 9415 10760 15064 18830 37660 75320 150299 300598 601196 751495 1052093 1202392 1502990 2104186 3005980 4208372 5260465 6011960 8416744 10520930 21041860 40430431 42083720 80860862 161721724 202152155 283013017 323443448 404304310 566026034 808608620 1132052068 1415065085 1617217240 2264104136 2830130170 5660260340 11320520680