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2013055100 = 2252713612113
BaseRepresentation
bin111011111111100…
…1100100001111100
312012021220210110022
41313333030201330
513110320230400
6531430431312
7100612454210
oct16777144174
95167823408
102013055100
11943354101
12482202538
13261098684
141514d6940
15bbae0b85
hex77fcc87c

2013055100 has 72 divisors (see below), whose sum is σ = 4998409248. Its totient is φ = 689356800.

The previous prime is 2013055087. The next prime is 2013055117. The reversal of 2013055100 is 15503102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951644 + ... + 953756.

Almost surely, 22013055100 is an apocalyptic number.

2013055100 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 2013055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499204624).

2013055100 is an abundant number, since it is smaller than the sum of its proper divisors (2985354148).

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

2013055100 is a wasteful number, since it uses less digits than its factorization.

2013055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 2013055100 is about 44867.0825884634. The cubic root of 2013055100 is about 1262.6565057752.

Adding to 2013055100 its reverse (15503102), we get a palindrome (2028558202).

The spelling of 2013055100 in words is "two billion, thirteen million, fifty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1361 2113 2722 4226 5444 6805 8452 9527 10565 13610 14791 19054 21130 27220 29582 34025 38108 42260 47635 52825 59164 68050 73955 95270 105650 136100 147910 190540 211300 238175 295820 369775 476350 739550 952700 1479100 2875793 5751586 11503172 14378965 20130551 28757930 40261102 57515860 71894825 80522204 100652755 143789650 201305510 287579300 402611020 503263775 1006527550 2013055100