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11172016020 = 223511101167597
BaseRepresentation
bin10100110011110011…
…10110111110010100
31001211121010012212010
422121321312332110
5140340014003040
65044331024220
7543565366164
oct123171667624
931747105763
1011172016020
114813347aa0
1221b959b070
131090764489
1477da8a5a4
15455c1be80
hex299e76f94

11172016020 has 96 divisors (see below), whose sum is σ = 34463511936. Its totient is φ = 2681536000.

The previous prime is 11172016019. The next prime is 11172016027. The reversal of 11172016020 is 2061027111.

It is a happy number.

It is a super-3 number, since 3×111720160203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172016027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17139 + ... + 150458.

It is an arithmetic number, because the mean of its divisors is an integer number (358994916).

Almost surely, 211172016020 is an apocalyptic number.

11172016020 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 11172016020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231755968).

11172016020 is an abundant number, since it is smaller than the sum of its proper divisors (23291495916).

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

11172016020 is a wasteful number, since it uses less digits than its factorization.

11172016020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167721 (or 167719 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The spelling of 11172016020 in words is "eleven billion, one hundred seventy-two million, sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 167597 335194 502791 670388 837985 1005582 1675970 1843567 2011164 2513955 3351940 3687134 5027910 5530701 7374268 9217835 10055820 11061402 16927297 18435670 22122804 27653505 33854594 36871340 50781891 55307010 67709188 84636485 101563782 110614020 169272970 186200267 203127564 253909455 338545940 372400534 507818910 558600801 744801068 931001335 1015637820 1117201602 1862002670 2234403204 2793004005 3724005340 5586008010 11172016020