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102012301312 = 212472771913
BaseRepresentation
bin101111100000001101…
…0000011000000000000
3100202022102010211200221
41133000122003000000
53132410122120222
6114510325352424
710240650153115
oct1370032030000
9322272124627
10102012301312
113a299314939
121792b868714
1398096a2c8c
144d1a3dc90c
1529c0c2c0c7
hex17c0683000

102012301312 has 104 divisors (see below), whose sum is σ = 209201547456. Its totient is φ = 49714692096.

The previous prime is 102012301297. The next prime is 102012301333. The reversal of 102012301312 is 213103210201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53324868 + ... + 53326780.

Almost surely, 2102012301312 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 102012301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104600773728).

102012301312 is an abundant number, since it is smaller than the sum of its proper divisors (107189246144).

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

102012301312 is an equidigital number, since it uses as much as digits as its factorization.

102012301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102012301312 its reverse (213103210201), we get a palindrome (315115511513).

The spelling of 102012301312 in words is "one hundred two billion, twelve million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 277 376 512 554 752 1024 1108 1504 1913 2048 2216 3008 3826 4096 4432 6016 7652 8864 12032 13019 15304 17728 24064 26038 30608 35456 48128 52076 61216 70912 89911 96256 104152 122432 141824 179822 192512 208304 244864 283648 359644 416608 489728 529901 567296 719288 833216 979456 1059802 1134592 1438576 1666432 1958912 2119604 2877152 3332864 3917824 4239208 5754304 6665728 7835648 8478416 11508608 13331456 16956832 23017216 24905347 26662912 33913664 46034432 49810694 53325824 67827328 92068864 99621388 135654656 184137728 199242776 271309312 368275456 398485552 542618624 796971104 1085237248 1593942208 2170474496 3187884416 6375768832 12751537664 25503075328 51006150656 102012301312