Search a number
-
+
11101212002010 = 23513227293427969
BaseRepresentation
bin1010000110001011001111…
…0011000100011011011010
31110022021011112220002202110
42201202303303010123122
52423340240233031020
635335454300013150
72224015245045354
oct241426363043332
943267145802673
1011101212002010
11359aaa7849069
1212b35a55311b6
13626abc06ab40
142a543156c0d4
15143b7c0008e0
hexa18b3cc46da

11101212002010 has 128 divisors (see below), whose sum is σ = 28917186520320. Its totient is φ = 2711276568576.

The previous prime is 11101212001987. The next prime is 11101212002059. The reversal of 11101212002010 is 1020021210111.

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, 25725306 + ... + 26153274.

It is an arithmetic number, because the mean of its divisors is an integer number (225915519690).

Almost surely, 211101212002010 is an apocalyptic number.

11101212002010 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 11101212002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458593260160).

11101212002010 is an abundant number, since it is smaller than the sum of its proper divisors (17815974518310).

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

11101212002010 is a wasteful number, since it uses less digits than its factorization.

11101212002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428512.

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

Adding to 11101212002010 its reverse (1020021210111), we get a palindrome (12121233212121).

The spelling of 11101212002010 in words is "eleven trillion, one hundred one billion, two hundred twelve million, two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 293 390 454 586 681 879 1135 1362 1465 1758 2270 2930 2951 3405 3809 4395 5902 6810 7618 8790 8853 11427 14755 17706 19045 22854 29510 38090 44265 57135 66511 88530 114270 133022 199533 332555 399066 427969 665110 855938 864643 997665 1283907 1729286 1995330 2139845 2567814 2593929 4279690 4323215 5187858 5563597 6419535 8646430 11127194 12839070 12969645 16690791 25939290 27817985 33381582 55635970 83453955 97148963 125394917 166907910 194297926 250789834 291446889 376184751 485744815 582893778 626974585 752369502 971489630 1253949170 1262936519 1457234445 1630133921 1880923755 2525873038 2914468890 3260267842 3761847510 3788809557 4890401763 6314682595 7577619114 8150669605 9780803526 12629365190 16301339210 18944047785 24452008815 28464646159 37888095570 48904017630 56929292318 85393938477 142323230795 170787876954 284646461590 370040400067 426969692385 740080800134 853939384770 1110121200201 1850202000335 2220242400402 3700404000670 5550606001005 11101212002010