Search a number
-
+
2013301020 = 22351391631481
BaseRepresentation
bin111100000000000…
…1000100100011100
312012022101021210110
41320000020210130
513110401113040
6531440010020
7100614530163
oct17000104434
95168337713
102013301020
11943501945
12482300910
132611535a3
1415155c3da
15bbb3d980
hex7800891c

2013301020 has 96 divisors (see below), whose sum is σ = 5716488960. Its totient is φ = 529390080.

The previous prime is 2013301001. The next prime is 2013301049. The reversal of 2013301020 is 201033102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2013300987 and 2013301005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358680 + ... + 1360160.

It is an arithmetic number, because the mean of its divisors is an integer number (59546760).

Almost surely, 22013301020 is an apocalyptic number.

2013301020 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 2013301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858244480).

2013301020 is an abundant number, since it is smaller than the sum of its proper divisors (3703187940).

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

2013301020 is a wasteful number, since it uses less digits than its factorization.

2013301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1793 counting only the distinct ones).

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

The square root of 2013301020 is about 44869.8230440014. The cubic root of 2013301020 is about 1262.7079201395.

Adding to 2013301020 its reverse (201033102), we get a palindrome (2214334122).

The spelling of 2013301020 in words is "two billion, thirteen million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 163 278 326 417 489 556 652 695 815 834 978 1390 1481 1630 1668 1956 2085 2445 2780 2962 3260 4170 4443 4890 5924 7405 8340 8886 9780 14810 17772 22215 22657 29620 44430 45314 67971 88860 90628 113285 135942 205859 226570 241403 271884 339855 411718 453140 482806 617577 679710 724209 823436 965612 1029295 1207015 1235154 1359420 1448418 2058590 2414030 2470308 2896836 3087885 3621045 4117180 4828060 6175770 7242090 12351540 14484180 33555017 67110034 100665051 134220068 167775085 201330102 335550170 402660204 503325255 671100340 1006650510 2013301020