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1002020210112 = 2634379219447
BaseRepresentation
bin11101001010011010000…
…11110000010111000000
310112210101111210201202210
432211031003300113000
5112404114133210422
62044153254342120
7132251665153305
oct16451503602700
93483344721683
101002020210112
11356a55316729
1214224665a940
137364a99ab3c
14366d88830ac
151b0e8cbc10c
hexe94d0f05c0

1002020210112 has 168 divisors, whose sum is σ = 2747749420416. Its totient is φ = 322092965376.

The previous prime is 1002020210111. The next prime is 1002020210251. The reversal of 1002020210112 is 2110120202001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002020210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51515973 + ... + 51535419.

It is an arithmetic number, because the mean of its divisors is an integer number (16355651312).

Almost surely, 21002020210112 is an apocalyptic number.

1002020210112 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 1002020210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373874710208).

1002020210112 is an abundant number, since it is smaller than the sum of its proper divisors (1745729210304).

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

1002020210112 is an equidigital number, since it uses as much as digits as its factorization.

1002020210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19663 (or 19574 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002020210112 its reverse (2110120202001), we get a palindrome (3112140412113).

The spelling of 1002020210112 in words is "one trillion, two billion, twenty million, two hundred ten thousand, one hundred twelve".