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2013055500 = 223537511787
BaseRepresentation
bin111011111111100…
…1100101000001100
312012021220211000010
41313333030220030
513110320234000
6531430433220
7100612455321
oct16777145014
95167824003
102013055500
11943354435
12482202810
13261098901
141514d6b48
15bbae0d50
hex77fcca0c

2013055500 has 96 divisors (see below), whose sum is σ = 5873107968. Its totient is φ = 535800000.

The previous prime is 2013055483. The next prime is 2013055501. The reversal of 2013055500 is 55503102.

It is not an unprimeable number, because it can be changed into a prime (2013055501) 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, 1125607 + ... + 1127393.

It is an arithmetic number, because the mean of its divisors is an integer number (61178208).

Almost surely, 22013055500 is an apocalyptic number.

2013055500 is a gapful number since it is divisible by the number (20) 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 2013055500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936553984).

2013055500 is an abundant number, since it is smaller than the sum of its proper divisors (3860052468).

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

2013055500 is a wasteful number, since it uses less digits than its factorization.

2013055500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 2013055500 is about 44867.0870460742. The cubic root of 2013055500 is about 1262.6565894064.

Adding to 2013055500 its reverse (55503102), we get a palindrome (2068558602).

The spelling of 2013055500 in words is "two billion, thirteen million, fifty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 751 1500 1502 1787 2253 3004 3574 3755 4506 5361 7148 7510 8935 9012 10722 11265 15020 17870 18775 21444 22530 26805 35740 37550 44675 45060 53610 56325 75100 89350 93875 107220 112650 134025 178700 187750 223375 225300 268050 281625 375500 446750 536100 563250 670125 893500 1126500 1340250 1342037 2680500 2684074 4026111 5368148 6710185 8052222 13420370 16104444 20130555 26840740 33550925 40261110 67101850 80522220 100652775 134203700 167754625 201305550 335509250 402611100 503263875 671018500 1006527750 2013055500