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100310201112 = 23311537398207
BaseRepresentation
bin101110101101011110…
…1000011001100011000
3100120220210100012011210
41131122331003030120
53120413402413422
6114025403423120
710150531432632
oct1353275031430
9316823305153
10100310201112
11395a5547860
1217535824aa0
1395c7b6c7b4
144bd832ba52
1529215b110c
hex175af43318

100310201112 has 128 divisors (see below), whose sum is σ = 282556200960. Its totient is φ = 29414661120.

The previous prime is 100310201063. The next prime is 100310201183. The reversal of 100310201112 is 211102013001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972313 + ... + 1070519.

It is an arithmetic number, because the mean of its divisors is an integer number (2207470320).

Almost surely, 2100310201112 is an apocalyptic number.

100310201112 is a gapful number since it is divisible by the number (12) 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 100310201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141278100480).

100310201112 is an abundant number, since it is smaller than the sum of its proper divisors (182245999848).

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

100310201112 is a wasteful number, since it uses less digits than its factorization.

100310201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98353 (or 98349 counting only the distinct ones).

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

Adding to 100310201112 its reverse (211102013001), we get a palindrome (311412214113).

The spelling of 100310201112 in words is "one hundred billion, three hundred ten million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 73 88 106 132 146 159 212 219 264 292 318 424 438 583 584 636 803 876 1166 1272 1606 1749 1752 2332 2409 3212 3498 3869 4664 4818 6424 6996 7738 9636 11607 13992 15476 19272 23214 30952 42559 46428 85118 92856 98207 127677 170236 196414 255354 294621 340472 392828 510708 589242 785656 1021416 1080277 1178484 2160554 2356968 3240831 4321108 5204971 6481662 7169111 8642216 10409942 12963324 14338222 15614913 20819884 21507333 25926648 28676444 31229826 41639768 43014666 57254681 57352888 62459652 78860221 86029332 114509362 124919304 157720442 171764043 172058664 229018724 236580663 315440884 343528086 379962883 458037448 473161326 630881768 687056172 759925766 946322652 1139888649 1374112344 1519851532 1892645304 2279777298 3039703064 4179591713 4559554596 8359183426 9119109192 12538775139 16718366852 25077550278 33436733704 50155100556 100310201112