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3011020211300 = 2252531015719851
BaseRepresentation
bin101011110100001110110…
…010100100010001100100
3101122211222011202000101012
4223310032302210101210
5343313032133230200
610223124340521352
7430352613336023
oct53641662442144
911584864660335
103011020211300
11a60a6a459622
124076806b0258
1318ac269b2baa
14a5a3c7488ba
15534cbe76a35
hex2bd0eca4464

3011020211300 has 144 divisors (see below), whose sum is σ = 6735566021184. Its totient is φ = 1167816000000.

The previous prime is 3011020211281. The next prime is 3011020211317. The reversal of 3011020211300 is 31120201103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305651375 + ... + 305661225.

It is an arithmetic number, because the mean of its divisors is an integer number (46774764036).

Almost surely, 23011020211300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011020211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367783010592).

3011020211300 is an abundant number, since it is smaller than the sum of its proper divisors (3724545809884).

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

3011020211300 is a wasteful number, since it uses less digits than its factorization.

3011020211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 3011020211300 its reverse (31120201103), we get a palindrome (3042140412403).

The spelling of 3011020211300 in words is "three trillion, eleven billion, twenty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 101 106 202 212 265 404 505 530 571 1010 1060 1142 1325 2020 2284 2525 2650 2855 5050 5300 5353 5710 9851 10100 10706 11420 14275 19702 21412 26765 28550 30263 39404 49255 53530 57100 57671 60526 98510 107060 115342 121052 133825 151315 197020 230684 246275 267650 288355 302630 492550 522103 535300 576710 605260 756575 985100 994951 1044206 1153420 1441775 1513150 1989902 2088412 2610515 2883550 3026300 3056563 3979804 4974755 5221030 5624921 5767100 6113126 9949510 10442060 11249842 12226252 13052575 15282815 19899020 22499684 24873775 26105150 28124605 30565630 49747550 52210300 52732403 56249210 61131260 76414075 99495100 105464806 112498420 140623025 152828150 210929612 263662015 281246050 298120813 305656300 527324030 562492100 568117021 596241626 1054648060 1136234042 1192483252 1318310075 1490604065 2272468084 2636620150 2840585105 2981208130 5273240300 5681170210 5962416260 7453020325 11362340420 14202925525 14906040650 28405851050 29812081300 30110202113 56811702100 60220404226 120440808452 150551010565 301102021130 602204042260 752755052825 1505510105650 3011020211300