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102202030323312 = 24311325497392137
BaseRepresentation
bin10111001111001111000011…
…101101100111011001110000
3111101212102022012212011201220
4113033033003231213121300
5101343434224230321222
61001210544202425040
730345565405102263
oct2717170355473160
9441772265764656
10102202030323312
112a623701797107
12b567531202180
1345047c152ca0a
141b34867292cda
15bc37990c3b5c
hex5cf3c3b67670

102202030323312 has 80 divisors (see below), whose sum is σ = 266462920058400. Its totient is φ = 33752611250176.

The previous prime is 102202030323227. The next prime is 102202030323329. The reversal of 102202030323312 is 213323030202201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10129708 + ... + 17521844.

It is an arithmetic number, because the mean of its divisors is an integer number (3330786500730).

Almost surely, 2102202030323312 is an apocalyptic number.

102202030323312 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 102202030323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133231460029200).

102202030323312 is an abundant number, since it is smaller than the sum of its proper divisors (164260889735088).

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

102202030323312 is a wasteful number, since it uses less digits than its factorization.

102202030323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394810 (or 7394804 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102202030323312 its reverse (213323030202201), we get a palindrome (315525060525513).

The spelling of 102202030323312 in words is "one hundred two trillion, two hundred two billion, thirty million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2549 2712 5098 5424 7647 10196 15294 20392 30588 40784 61176 122352 288037 576074 864111 1152148 1728222 2304296 3456444 4608592 6912888 7392137 13825776 14784274 22176411 29568548 44352822 59137096 88705644 118274192 177411288 354822576 835311481 1670622962 2505934443 3341245924 5011868886 6682491848 10023737772 13364983696 18842557213 20047475544 37685114426 40094951088 56527671639 75370228852 113055343278 150740457704 226110686556 301480915408 452221373112 904442746224 2129208965069 4258417930138 6387626895207 8516835860276 12775253790414 17033671720552 25550507580828 34067343441104 51101015161656 102202030323312