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102001134012 = 22313961151759
BaseRepresentation
bin101111011111110111…
…1011100100110111100
3100202021122010111001020
41132333233130212330
53132344242242022
6114505250144140
710240453222311
oct1367757344674
9322248114036
10102001134012
113a292a87768
1217927b82050
139807292ccb
144d18b32d08
1529bec7335c
hex17bfbdc9bc

102001134012 has 24 divisors (see below), whose sum is σ = 239714899200. Its totient is φ = 33755770416.

The previous prime is 102001133939. The next prime is 102001134013. The reversal of 102001134012 is 210431100201.

It is a super-2 number, since 2×1020011340122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001133982 and 102001134000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001134013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30574212 + ... + 30577547.

It is an arithmetic number, because the mean of its divisors is an integer number (9988120800).

Almost surely, 2102001134012 is an apocalyptic number.

102001134012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102001134012 is an abundant number, since it is smaller than the sum of its proper divisors (137713765188).

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

102001134012 is a wasteful number, since it uses less digits than its factorization.

102001134012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61151905 (or 61151903 counting only the distinct ones).

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

Adding to 102001134012 its reverse (210431100201), we get a palindrome (312432234213).

The spelling of 102001134012 in words is "one hundred two billion, one million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 139 278 417 556 834 1668 61151759 122303518 183455277 244607036 366910554 733821108 8500094501 17000189002 25500283503 34000378004 51000567006 102001134012