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102301201212 = 223719292199383
BaseRepresentation
bin101111101000110100…
…0000111001100111100
3100210001112202110212020
41133101220013030330
53134003101414322
6114555125440140
710251055601640
oct1372150071474
9323045673766
10102301201212
113a4273a7691
12179b0570050
1398544b5572
144d46922c20
1529db29705c
hex17d1a0733c

102301201212 has 288 divisors, whose sum is σ = 299679744000. Its totient is φ = 26531898624.

The previous prime is 102301201201. The next prime is 102301201217. The reversal of 102301201212 is 212102103201.

It is a super-2 number, since 2×1023012012122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102301201191 and 102301201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301201217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267104773 + ... + 267105155.

Almost surely, 2102301201212 is an apocalyptic number.

102301201212 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 102301201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149839872000).

102301201212 is an abundant number, since it is smaller than the sum of its proper divisors (197378542788).

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

102301201212 is a wasteful number, since it uses less digits than its factorization.

102301201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102301201212 its reverse (212102103201), we get a palindrome (314403304413).

The spelling of 102301201212 in words is "one hundred two billion, three hundred one million, two hundred one thousand, two hundred twelve".