Search a number
-
+
2112042000210 = 23529113105120441
BaseRepresentation
bin11110101110111111100…
…000110101111101010010
321110220112211122012000120
4132232333200311331102
5234100430223001320
64254131513531110
7305406240535632
oct36567740657522
97426484565016
102112042000210
1174479171497a
122a13b2713a96
1312421ab2270c
147431ad426c2
1539e144d2440
hex1ebbf835f52

2112042000210 has 128 divisors (see below), whose sum is σ = 5295387260160. Its totient is φ = 538438656000.

The previous prime is 2112042000209. The next prime is 2112042000283. The reversal of 2112042000210 is 120002402112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112042000210.

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, 103313590 + ... + 103334030.

It is an arithmetic number, because the mean of its divisors is an integer number (41370212970).

Almost surely, 22112042000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112042000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647693630080).

2112042000210 is an abundant number, since it is smaller than the sum of its proper divisors (3183345259950).

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

2112042000210 is a wasteful number, since it uses less digits than its factorization.

2112042000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21644.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2112042000210 its reverse (120002402112), we get a palindrome (2232044402322).

The spelling of 2112042000210 in words is "two trillion, one hundred twelve billion, forty-two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 29 30 58 87 113 145 174 226 290 339 435 565 678 870 1051 1130 1695 2102 3153 3277 3390 5255 6306 6554 9831 10510 15765 16385 19662 20441 30479 31530 32770 40882 49155 60958 61323 91437 98310 102205 118763 122646 152395 182874 204410 237526 304790 306615 356289 457185 592789 593815 613230 712578 914370 1185578 1187630 1778367 1781445 2309833 2963945 3444127 3556734 3562890 4619666 5927890 6888254 6929499 8891835 10332381 11549165 13858998 17220635 17783670 20664762 21483491 23098330 34441270 34647495 42966982 51661905 64450473 66985157 69294990 103323810 107417455 128900946 133970314 200955471 214834910 322252365 334925785 401910942 623021239 644504730 669851570 1004777355 1246042478 1869063717 2009554710 2427634483 3115106195 3738127434 4855268966 6230212390 7282903449 9345318585 12138172415 14565806898 18690637170 24276344830 36414517245 70401400007 72829034490 140802800014 211204200021 352007000035 422408400042 704014000070 1056021000105 2112042000210