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102022330112 = 281741955949
BaseRepresentation
bin101111100000100000…
…0010011011100000000
3100202100010000100121222
41133001000103130000
53132420204030422
6114511324334212
710241131332443
oct1370100233400
9322303010558
10102022330112
113a2a3a446aa
12179330a4368
13980b7a4991
144d1b88d65a
1529c1a5d842
hex17c1013700

102022330112 has 72 divisors (see below), whose sum is σ = 216143802000. Its totient is φ = 47895068672.

The previous prime is 102022330087. The next prime is 102022330121. The reversal of 102022330112 is 211033220201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1795514 + ... + 1851462.

It is an arithmetic number, because the mean of its divisors is an integer number (3001997250).

Almost surely, 2102022330112 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 102022330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108071901000).

102022330112 is an abundant number, since it is smaller than the sum of its proper divisors (114121471888).

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

102022330112 is an equidigital number, since it uses as much as digits as its factorization.

102022330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56401 (or 56387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102022330112 its reverse (211033220201), we get a palindrome (313055550313).

The spelling of 102022330112 in words is "one hundred two billion, twenty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 419 544 838 1088 1676 2176 3352 4352 6704 7123 13408 14246 26816 28492 53632 55949 56984 107264 111898 113968 223796 227936 447592 455872 895184 911744 951133 1790368 1823488 1902266 3580736 3804532 7161472 7609064 14322944 15218128 23442631 30436256 46885262 60872512 93770524 121745024 187541048 243490048 375082096 398524727 750164192 797049454 1500328384 1594098908 3000656768 3188197816 6001313536 6376395632 12752791264 25505582528 51011165056 102022330112