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1012012002210 = 2351119508731729
BaseRepresentation
bin11101011101000001001…
…11011010101110100010
310120202011212010100202210
432232200213122232202
5113040100033032320
62052524545222550
7133054413041436
oct16564047325642
93522155110683
101012012002210
11360212434a50
12144174931a56
1374580a73361
1436da58aa9c6
151b4d10a80e0
hexeba09daba2

1012012002210 has 128 divisors (see below), whose sum is σ = 2789721907200. Its totient is φ = 232370795520.

The previous prime is 1012012002181. The next prime is 1012012002241. The reversal of 1012012002210 is 122002102101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31879626 + ... + 31911354.

It is an arithmetic number, because the mean of its divisors is an integer number (21794702400).

Almost surely, 21012012002210 is an apocalyptic number.

1012012002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012012002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394860953600).

1012012002210 is an abundant number, since it is smaller than the sum of its proper divisors (1777709904990).

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

1012012002210 is a wasteful number, since it uses less digits than its factorization.

1012012002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36856.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012012002210 its reverse (122002102101), we get a palindrome (1134014104311).

The spelling of 1012012002210 in words is "one trillion, twelve billion, twelve million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 5087 6270 10174 15261 25435 30522 31729 50870 55957 63458 76305 95187 96653 111914 152610 158645 167871 190374 193306 279785 289959 317290 335742 349019 475935 483265 559570 579918 602851 698038 839355 951870 966530 1047057 1063183 1205702 1449795 1678710 1745095 1808553 2094114 2126366 2899590 3014255 3189549 3490190 3617106 5235285 5315915 6028510 6379098 6631361 9042765 10470570 10631830 13262722 15947745 18085530 19894083 31895490 33156805 39788166 66313610 99470415 161405423 198940830 322810846 484216269 807027115 968432538 1614054230 1775459653 2421081345 3066703037 3550919306 4842162690 5326378959 6133406074 8877298265 9200109111 10652757918 15333515185 17754596530 18400218222 26631894795 30667030370 33733733407 46000545555 53263789590 67467466814 92001091110 101201200221 168668667035 202402400442 337337334070 506006001105 1012012002210