Search a number
-
+
2103220330002 = 23211231307353359
BaseRepresentation
bin11110100110110001101…
…100110101111000010010
321110001210001002220111100
4132212301230311320102
5233424343401030002
64250112302525230
7304644521555541
oct36466154657022
97401701086440
102103220330002
11740a75055540
1229b750296816
131234432b000c
1473b214ac158
1539a99cce11c
hex1e9b1b35e12

2103220330002 has 96 divisors (see below), whose sum is σ = 5191372892160. Its totient is φ = 609160923360.

The previous prime is 2103220329961. The next prime is 2103220330027. The reversal of 2103220330002 is 2000330223012.

It is a happy number.

2103220330002 is a `hidden beast` number, since 2 + 10 + 322 + 0 + 330 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5775399 + ... + 6128757.

It is an arithmetic number, because the mean of its divisors is an integer number (54076800960).

Almost surely, 22103220330002 is an apocalyptic number.

2103220330002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103220330002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595686446080).

2103220330002 is an abundant number, since it is smaller than the sum of its proper divisors (3088152562158).

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

2103220330002 is a wasteful number, since it uses less digits than its factorization.

2103220330002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354708 (or 354705 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2103220330002 its reverse (2000330223012), we get a palindrome (4103550553014).

The spelling of 2103220330002 in words is "two trillion, one hundred three billion, two hundred twenty million, three hundred thirty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1307 1518 2277 2614 3921 4554 7842 11763 14377 23526 28754 30061 43131 60122 86262 90183 129393 180366 258786 270549 330671 353359 541098 661342 706718 992013 1060077 1984026 2120154 2976039 3180231 3886949 5952078 6360462 7773898 8127257 11660847 16254514 23321694 24381771 34982541 48763542 69965082 73145313 89399827 146290626 178799654 268199481 461840213 536398962 804598443 923680426 1385520639 1609196886 2771041278 4156561917 5080242343 8313123834 10160484686 10622324899 15240727029 21244649798 30481454058 31866974697 45722181087 63733949394 91444362174 95600924091 116845573889 191201848182 233691147778 350536721667 701073443334 1051610165001 2103220330002