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102251434112 = 27978235457
BaseRepresentation
bin101111100111010101…
…0010001000010000000
3100202221002010001020022
41133032222101002000
53133402331342422
6114550151033012
710246612564232
oct1371652210200
9322832101208
10102251434112
113a4012a5953
121799796b768
1398470ac189
144d4008a252
1529d6c16342
hex17cea91080

102251434112 has 32 divisors (see below), whose sum is σ = 205804095420. Its totient is φ = 50598641664.

The previous prime is 102251434111. The next prime is 102251434133. The reversal of 102251434112 is 211434152201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88389668416 + 13861765696 = 297304^2 + 117736^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (102251434111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4105313 + ... + 4130144.

Almost surely, 2102251434112 is an apocalyptic number.

It is an amenable number.

102251434112 is an abundant number, since it is smaller than the sum of its proper divisors (103552661308).

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

102251434112 is an frugal number, since it uses more digits than its factorization.

102251434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235568 (or 8235556 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 102251434112 its reverse (211434152201), we get a palindrome (313685586313).

The spelling of 102251434112 in words is "one hundred two billion, two hundred fifty-one million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 12416 8235457 16470914 32941828 65883656 131767312 263534624 527069248 798839329 1054138496 1597678658 3195357316 6390714632 12781429264 25562858528 51125717056 102251434112