Search a number
-
+
11212101000210 = 23511471249578779
BaseRepresentation
bin1010001100101000010101…
…0011000001110000010010
31110200212101121002212101210
42203022011103001300102
52432144340324001320
635502433524040550
72235022213013325
oct243120523016022
943625347085353
1011212101000210
113633030796730
121310b91b33156
136343b17ab886
142aa9508467bc
151469bc1a00e0
hexa32854c1c12

11212101000210 has 128 divisors (see below), whose sum is σ = 30003955200000. Its totient is φ = 2658118993920.

The previous prime is 11212101000197. The next prime is 11212101000239. The reversal of 11212101000210 is 1200010121211.

It is a super-2 number, since 2×112121010002102 (a number of 27 digits) contains 22 as substring.

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, 19082601 + ... + 19661379.

It is an arithmetic number, because the mean of its divisors is an integer number (234405900000).

Almost surely, 211212101000210 is an apocalyptic number.

11212101000210 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 11212101000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001977600000).

11212101000210 is an abundant number, since it is smaller than the sum of its proper divisors (18791854199790).

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

11212101000210 is a wasteful number, since it uses less digits than its factorization.

11212101000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580096.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212101000210 its reverse (1200010121211), we get a palindrome (12412111121421).

The spelling of 11212101000210 in words is "eleven trillion, two hundred twelve billion, one hundred one million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1249 1410 1551 2498 2585 3102 3747 5170 6245 7494 7755 12490 13739 15510 18735 27478 37470 41217 58703 68695 82434 117406 137390 176109 206085 293515 352218 412170 578779 587030 645733 880545 1157558 1291466 1736337 1761090 1937199 2893895 3228665 3472674 3874398 5787790 6366569 6457330 8681685 9685995 12733138 17363370 19099707 19371990 27202613 31832845 38199414 54405226 63665690 81607839 95498535 136013065 163215678 190997070 272026130 299228743 408039195 598457486 722894971 816078390 897686229 1445789942 1496143715 1795372458 2168684913 2992287430 3614474855 4337369826 4488431145 7228949710 7951844681 8976862290 10843424565 15903689362 21686849130 23855534043 33976063637 39759223405 47711068086 67952127274 79518446810 101928190911 119277670215 169880318185 203856381822 238555340430 339760636370 373736700007 509640954555 747473400014 1019281909110 1121210100021 1868683500035 2242420200042 3737367000070 5606050500105 11212101000210