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1002103110012 = 22319367181717
BaseRepresentation
bin11101001010100011111…
…11111111100101111100
310112210121021210111001110
432211101333333211330
5112404301344010022
62044205415242020
7132254022615054
oct16452177774574
93483537714043
101002103110012
11356a98098644
1214226a379310
1373661c05134
14367058a2564
151b1011e500c
hexe951fff97c

1002103110012 has 96 divisors (see below), whose sum is σ = 2504975361280. Its totient is φ = 311728709952.

The previous prime is 1002103110011. The next prime is 1002103110013. The reversal of 1002103110012 is 2100113012001.

It is an interprime number because it is at equal distance from previous prime (1002103110011) and next prime (1002103110013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1002103110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002103110011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5423778 + ... + 5605494.

Almost surely, 21002103110012 is an apocalyptic number.

1002103110012 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 1002103110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252487680640).

1002103110012 is an abundant number, since it is smaller than the sum of its proper divisors (1502872251268).

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

1002103110012 is a wasteful number, since it uses less digits than its factorization.

1002103110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181848 (or 181808 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1002103110012 its reverse (2100113012001), we get a palindrome (3102216122013).

The spelling of 1002103110012 in words is "one trillion, two billion, one hundred three million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 361 402 722 804 1083 1273 1444 2166 2546 3819 4332 5092 6859 7638 13718 15276 20577 24187 27436 41154 48374 72561 82308 96748 145122 181717 290244 363434 459553 545151 726868 919106 1090302 1378659 1838212 2180604 2757318 3452623 5514636 6905246 10357869 12175039 13810492 20715738 24350078 36525117 41431476 48700156 65599837 73050234 131199674 146100468 196799511 231325741 262399348 393599022 462651482 693977223 787198044 925302964 1246396903 1387954446 2492793806 2775908892 3739190709 4395189079 4985587612 7478381418 8790378158 13185567237 14956762836 17580756316 26371134474 52742268948 83508592501 167017185002 250525777503 334034370004 501051555006 1002103110012