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102002310312 = 23371931955611
BaseRepresentation
bin101111011111111001…
…1111011110010101000
3100202021201100020121220
41132333303323302220
53132400042412222
6114505331302040
710240466221620
oct1367763736250
9322251306556
10102002310312
113a293710511
121792844a920
1398075b5546
144d18d5b880
1529bee06b5c
hex17bfcfbca8

102002310312 has 64 divisors (see below), whose sum is σ = 306773875200. Its totient is φ = 27609647040.

The previous prime is 102002310269. The next prime is 102002310337. The reversal of 102002310312 is 213013200201.

It is a super-3 number, since 3×1020023103123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002310291 and 102002310300.

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, 15974614 + ... + 15980997.

It is an arithmetic number, because the mean of its divisors is an integer number (4793341800).

Almost surely, 2102002310312 is an apocalyptic number.

102002310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102002310312 is an abundant number, since it is smaller than the sum of its proper divisors (204771564888).

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

102002310312 is a wasteful number, since it uses less digits than its factorization.

102002310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31955646 (or 31955642 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102002310312 its reverse (213013200201), we get a palindrome (315015510513).

The spelling of 102002310312 in words is "one hundred two billion, two million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 31955611 63911222 95866833 127822444 191733666 223689277 255644888 383467332 447378554 607156609 671067831 766934664 894757108 1214313218 1342135662 1789514216 1821469827 2428626436 2684271324 3642939654 4250096263 4857252872 5368542648 7285879308 8500192526 12750288789 14571758616 17000385052 25500577578 34000770104 51001155156 102002310312