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1002312300012 = 2231959149500069
BaseRepresentation
bin11101001010111100111…
…01111111010111101100
310112211010212102102210020
432211132131333113230
5112410213422100022
62044242251042140
7132262142656332
oct16453635772754
93484125372706
101002312300012
11357095188141
12142308440350
13736963593ba
1436725597b52
151b11476735c
hexe95e77f5ec

1002312300012 has 96 divisors (see below), whose sum is σ = 2520352800000. Its totient is φ = 309066027264.

The previous prime is 1002312300001. The next prime is 1002312300023. The reversal of 1002312300012 is 2100032132001.

It is an interprime number because it is at equal distance from previous prime (1002312300001) and next prime (1002312300023).

It is a junction number, because it is equal to n+sod(n) for n = 1002312299964 and 1002312300000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754314 + ... + 2254382.

It is an arithmetic number, because the mean of its divisors is an integer number (26253675000).

Almost surely, 21002312300012 is an apocalyptic number.

1002312300012 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 1002312300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260176400000).

1002312300012 is an abundant number, since it is smaller than the sum of its proper divisors (1518040499988).

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

1002312300012 is a wasteful number, since it uses less digits than its factorization.

1002312300012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500303 (or 500301 counting only the distinct ones).

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

Adding to 1002312300012 its reverse (2100032132001), we get a palindrome (3102344432013).

The spelling of 1002312300012 in words is "one trillion, two billion, three hundred twelve million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 149 177 228 236 298 354 447 596 708 894 1121 1788 2242 2831 3363 4484 5662 6726 8493 8791 11324 13452 16986 17582 26373 33972 35164 52746 105492 167029 334058 500069 501087 668116 1000138 1002174 1500207 2000276 2004348 3000414 6000828 9501311 19002622 28503933 29504071 38005244 57007866 59008142 74510281 88512213 114015732 118016284 149020562 177024426 223530843 298041124 354048852 447061686 560577349 894123372 1121154698 1415695339 1681732047 2242309396 2831390678 3363464094 4247086017 4396106579 5662781356 6726928188 8494172034 8792213158 13188319737 16988344068 17584426316 26376639474 52753278948 83526025001 167052050002 250578075003 334104100004 501156150006 1002312300012