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2010213912 = 2337711271327
BaseRepresentation
bin111011111010001…
…0110111000011000
312012002120110002010
41313310112320120
513104103321122
6531245505520
7100546351650
oct16764267030
95162513063
102010213912
11941793513
124812722a0
132606123b5
14150d97360
15bb72de0c
hex77d16e18

2010213912 has 128 divisors (see below), whose sum is σ = 5874647040. Its totient is φ = 561375360.

The previous prime is 2010213911. The next prime is 2010213913. The reversal of 2010213912 is 2193120102.

It is an interprime number because it is at equal distance from previous prime (2010213911) and next prime (2010213913).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010213911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1514193 + ... + 1515519.

It is an arithmetic number, because the mean of its divisors is an integer number (45895680).

Almost surely, 22010213912 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 2010213912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937323520).

2010213912 is an abundant number, since it is smaller than the sum of its proper divisors (3864433128).

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

2010213912 is a wasteful number, since it uses less digits than its factorization.

2010213912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2010213912 is about 44835.4091316227. The cubic root of 2010213912 is about 1262.0621962293.

The spelling of 2010213912 in words is "two billion, ten million, two hundred thirteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 127 142 168 213 254 284 381 426 497 508 568 762 852 889 994 1016 1327 1491 1524 1704 1778 1988 2654 2667 2982 3048 3556 3976 3981 5308 5334 5964 7112 7962 9017 9289 10616 10668 11928 15924 18034 18578 21336 27051 27867 31848 36068 37156 54102 55734 63119 72136 74312 94217 108204 111468 126238 168529 188434 189357 216408 222936 252476 282651 337058 376868 378714 504952 505587 565302 659519 674116 753736 757428 1011174 1130604 1179703 1319038 1348232 1514856 1978557 2022348 2261208 2359406 2638076 3539109 3957114 4044696 4718812 5276152 7078218 7914228 9437624 11965559 14156436 15828456 23931118 28312872 35896677 47862236 71793354 83758913 95724472 143586708 167517826 251276739 287173416 335035652 502553478 670071304 1005106956 2010213912