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2013020130 = 235112619091
BaseRepresentation
bin111011111111100…
…0011111111100010
312012021212000111010
41313333003333202
513110313121010
6531430001350
7100612250232
oct16777037742
95167760433
102013020130
1194332a900
124821a6256
13261085794
141514c7cc2
15bbad5620
hex77fc3fe2

2013020130 has 96 divisors (see below), whose sum is σ = 5398029504. Its totient is φ = 479952000.

The previous prime is 2013020111. The next prime is 2013020137. The reversal of 2013020130 is 310203102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2013020137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216885 + ... + 225975.

It is an arithmetic number, because the mean of its divisors is an integer number (56229474).

Almost surely, 22013020130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699014752).

2013020130 is an abundant number, since it is smaller than the sum of its proper divisors (3385009374).

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

2013020130 is a wasteful number, since it uses less digits than its factorization.

2013020130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013020130 is about 44866.6928801310. The cubic root of 2013020130 is about 1262.6491942758.

Adding to 2013020130 its reverse (310203102), we get a palindrome (2323223232).

The spelling of 2013020130 in words is "two billion, thirteen million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 121 122 165 183 242 305 330 363 366 605 610 671 726 915 1210 1342 1815 1830 2013 3355 3630 4026 6710 7381 9091 10065 14762 18182 20130 22143 27273 36905 44286 45455 54546 73810 90910 100001 110715 136365 200002 221430 272730 300003 500005 554551 600006 1000010 1100011 1109102 1500015 1663653 2200022 2772755 3000030 3300033 3327306 5500055 5545510 6100061 6600066 8318265 11000110 12200122 16500165 16636530 18300183 30500305 33000330 36600366 61000610 67100671 91500915 134201342 183001830 201302013 335503355 402604026 671006710 1006510065 2013020130