Search a number
-
+
1200100200210 = 2325731391314127
BaseRepresentation
bin10001011101101011100…
…010111100111100010010
311020201200001020210211100
4101131223202330330102
5124130301122401320
62315152440125230
7152463413250642
oct21355342747422
94221601223740
101200100200210
11422a61304a8a
12174707166816
138922729b682
144212996c522
152133d8ce790
hex1176b8bcf12

1200100200210 has 96 divisors (see below), whose sum is σ = 3185761662720. Its totient is φ = 313371742464.

The previous prime is 1200100200127. The next prime is 1200100200223. The reversal of 1200100200210 is 120020010021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200100200192 and 1200100200201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256167 + ... + 1570293.

It is an arithmetic number, because the mean of its divisors is an integer number (33185017320).

Almost surely, 21200100200210 is an apocalyptic number.

1200100200210 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 1200100200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592880831360).

1200100200210 is an abundant number, since it is smaller than the sum of its proper divisors (1985661462510).

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

1200100200210 is a wasteful number, since it uses less digits than its factorization.

1200100200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314352 (or 1314349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1200100200210 its reverse (120020010021), we get a palindrome (1320120210231).

The spelling of 1200100200210 in words is "one trillion, two hundred billion, one hundred million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 139 146 219 278 365 417 438 657 695 730 834 1095 1251 1314 1390 2085 2190 2502 3285 4170 6255 6570 10147 12510 20294 30441 50735 60882 91323 101470 152205 182646 304410 456615 913230 1314127 2628254 3942381 6570635 7884762 11827143 13141270 19711905 23654286 39423810 59135715 95931271 118271430 182663653 191862542 287793813 365327306 479656355 547990959 575587626 863381439 913318265 959312710 1095981918 1438969065 1643972877 1726762878 1826636530 2739954795 2877938130 3287945754 4316907195 5479909590 8219864385 8633814390 13334446669 16439728770 26668893338 40003340007 66672233345 80006680014 120010020021 133344466690 200016700035 240020040042 400033400070 600050100105 1200100200210