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213300010112 = 2777913123003
BaseRepresentation
bin1100011010100110101…
…0111101110010000000
3202101120020121012110112
43012221222331302000
511443314300310422
6241553315250452
721260526112460
oct3065152756200
9671506535415
10213300010112
11825073276a2
12354098a9a28
13171638c3447
14a476623ba0
155835dd7ee2
hex31a9abdc80

213300010112 has 128 divisors (see below), whose sum is σ = 495561369600. Its totient is φ = 89564267520.

The previous prime is 213300010073. The next prime is 213300010139. The reversal of 213300010112 is 211010003312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9261203 + ... + 9284205.

It is an arithmetic number, because the mean of its divisors is an integer number (3871573200).

Almost surely, 2213300010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213300010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247780684800).

213300010112 is an abundant number, since it is smaller than the sum of its proper divisors (282261359488).

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

213300010112 is a wasteful number, since it uses less digits than its factorization.

213300010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23234 (or 23222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213300010112 its reverse (211010003312), we get a palindrome (424310013424).

The spelling of 213300010112 in words is "two hundred thirteen billion, three hundred million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 131 158 224 262 316 448 524 553 632 896 917 1048 1106 1264 1834 2096 2212 2528 3668 4192 4424 5056 7336 8384 8848 10112 10349 14672 16768 17696 20698 23003 29344 35392 41396 46006 58688 70784 72443 82792 92012 117376 144886 161021 165584 184024 289772 322042 331168 368048 579544 644084 662336 736096 1159088 1288168 1324672 1472192 1817237 2318176 2576336 2944384 3013393 3634474 4636352 5152672 6026786 7268948 9272704 10305344 12053572 12720659 14537896 20610688 21093751 24107144 25441318 29075792 42187502 48214288 50882636 58151584 84375004 96428576 101765272 116303168 168750008 192857152 203530544 232606336 238058047 337500016 385714304 407061088 476116094 675000032 814122176 952232188 1350000064 1628244352 1666406329 1904464376 2700000128 3332812658 3808928752 6665625316 7617857504 13331250632 15235715008 26662501264 30471430016 53325002528 106650005056 213300010112