Search a number
-
+
2012011320 = 2335113374523
BaseRepresentation
bin111011111101100…
…1101101100111000
312012012221202122210
41313323031230320
513110033330240
6531352215120
7100600546134
oct16773155470
95165852583
102012011320
11942800980
1248199a4a0
13260ac1557
141513043c4
15bb986780
hex77ecdb38

2012011320 has 128 divisors (see below), whose sum is σ = 6605763840. Its totient is φ = 486205440.

The previous prime is 2012011303. The next prime is 2012011361. The reversal of 2012011320 is 231102102.

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 = 2012011296 and 2012011305.

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, 442579 + ... + 447101.

It is an arithmetic number, because the mean of its divisors is an integer number (51607530).

Almost surely, 22012011320 is an apocalyptic number.

2012011320 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 2012011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302881920).

2012011320 is an abundant number, since it is smaller than the sum of its proper divisors (4593752520).

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

2012011320 is a wasteful number, since it uses less digits than its factorization.

2012011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2012011320 is about 44855.4491672974. The cubic root of 2012011320 is about 1262.4382366282.

Adding to 2012011320 its reverse (231102102), we get a palindrome (2243113422).

The spelling of 2012011320 in words is "two billion, twelve million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 337 440 660 674 1011 1320 1348 1685 2022 2696 3370 3707 4044 4523 5055 6740 7414 8088 9046 10110 11121 13480 13569 14828 18092 18535 20220 22242 22615 27138 29656 36184 37070 40440 44484 45230 49753 54276 55605 67845 74140 88968 90460 99506 108552 111210 135690 148280 149259 180920 199012 222420 248765 271380 298518 398024 444840 497530 542760 597036 746295 995060 1194072 1492590 1524251 1990120 2985180 3048502 4572753 5970360 6097004 7621255 9145506 12194008 15242510 16766761 18291012 22863765 30485020 33533522 36582024 45727530 50300283 60970040 67067044 83833805 91455060 100600566 134134088 167667610 182910120 201201132 251501415 335335220 402402264 503002830 670670440 1006005660 2012011320