Search a number
-
+
210220211100 = 223521495418693
BaseRepresentation
bin1100001111001000011…
…0011101101110011100
3202002121121102012110110
43003302012131232130
511421012333223400
6240323540410020
721121311211554
oct3036206355634
9662547365413
10210220211100
1181176913059
12348aa3a6910
1316a9281c173
14a2635a8164
15570582ee50
hex30f219db9c

210220211100 has 144 divisors (see below), whose sum is σ = 613521669600. Its totient is φ = 55573171200.

The previous prime is 210220211093. The next prime is 210220211101. The reversal of 210220211100 is 1112022012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220211101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24178354 + ... + 24187046.

It is an arithmetic number, because the mean of its divisors is an integer number (4260567150).

Almost surely, 2210220211100 is an apocalyptic number.

210220211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210220211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306760834800).

210220211100 is an abundant number, since it is smaller than the sum of its proper divisors (403301458500).

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

210220211100 is a wasteful number, since it uses less digits than its factorization.

210220211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 9393 counting only the distinct ones).

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

Adding to 210220211100 its reverse (1112022012), we get a palindrome (211332233112).

The spelling of 210220211100 in words is "two hundred ten billion, two hundred twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 541 596 745 894 1082 1490 1623 1788 2164 2235 2705 2980 3246 3725 4470 5410 6492 7450 8115 8693 8940 10820 11175 13525 14900 16230 17386 22350 26079 27050 32460 34772 40575 43465 44700 52158 54100 80609 81150 86930 104316 130395 161218 162300 173860 217325 241827 260790 322436 403045 434650 483654 521580 651975 806090 869300 967308 1209135 1295257 1303950 1612180 2015225 2418270 2590514 2607900 3885771 4030450 4702913 4836540 5181028 6045675 6476285 7771542 8060900 9405826 12091350 12952570 14108739 15543084 18811652 19428855 23514565 24182700 25905140 28217478 32381425 38857710 47029130 56434956 64762850 70543695 77715420 94058260 97144275 117572825 129525700 141087390 194288550 235145650 282174780 352718475 388577100 470291300 700734037 705436950 1401468074 1410873900 2102202111 2802936148 3503670185 4204404222 7007340370 8408808444 10511010555 14014680740 17518350925 21022021110 35036701850 42044042220 52555052775 70073403700 105110105550 210220211100