Search a number
-
+
2113002302100 = 2235289170946307
BaseRepresentation
bin11110101111111000110…
…000000110101010010100
321111000000202121120120020
4132233320300012222110
5234104412042131400
64254411100305140
7305442111136614
oct36577060065224
97430022546506
102113002302100
117451347939a8
122a16202421b0
13124341a705a1
14743ac6b8a44
1539e6d9712a0
hex1ebf8c06a94

2113002302100 has 144 divisors (see below), whose sum is σ = 6186063441600. Its totient is φ = 556798161920.

The previous prime is 2113002302077. The next prime is 2113002302123. The reversal of 2113002302100 is 12032003112.

It is an interprime number because it is at equal distance from previous prime (2113002302077) and next prime (2113002302123).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2113002302100.

It is a congruent number.

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, 45607147 + ... + 45653453.

It is an arithmetic number, because the mean of its divisors is an integer number (42958773900).

Almost surely, 22113002302100 is an apocalyptic number.

2113002302100 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 2113002302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093031720800).

2113002302100 is an abundant number, since it is smaller than the sum of its proper divisors (4073061139500).

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

2113002302100 is a wasteful number, since it uses less digits than its factorization.

2113002302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48122 (or 48115 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2113002302100 its reverse (12032003112), we get a palindrome (2125034305212).

The spelling of 2113002302100 in words is "two trillion, one hundred thirteen billion, two million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1709 1780 2225 2670 3418 4450 5127 5340 6675 6836 8545 8900 10254 13350 17090 20508 25635 26700 34180 42725 46307 51270 85450 92614 102540 128175 138921 152101 170900 185228 231535 256350 277842 304202 456303 463070 512700 555684 608404 694605 760505 912606 926140 1157675 1389210 1521010 1825212 2281515 2315350 2778420 3042020 3473025 3802525 4121323 4563030 4630700 6946050 7605050 8242646 9126060 11407575 12363969 13892100 15210100 16485292 20606615 22815150 24727938 41213230 45630300 49455876 61819845 79138663 82426460 103033075 123639690 158277326 206066150 237415989 247279380 309099225 316554652 395693315 412132300 474831978 618198450 791386630 949663956 1187079945 1236396900 1582773260 1978466575 2374159890 3956933150 4748319780 5935399725 7043341007 7913866300 11870799450 14086682014 21130023021 23741598900 28173364028 35216705035 42260046042 70433410070 84520092084 105650115105 140866820140 176083525175 211300230210 352167050350 422600460420 528250575525 704334100700 1056501151050 2113002302100