Search a number
-
+
1002122011212 = 2237196123414397
BaseRepresentation
bin11101001010100110010…
…00000110001001001100
310112210122121100202121220
432211103020012021030
5112404321213324322
62044211332323340
7132254342356440
oct16452310061114
93483577322556
101002122011212
11356aa7828373
12142274773550
1373665ac238a
14367081c2820
151b102bca55c
hexe95320624c

1002122011212 has 192 divisors, whose sum is σ = 2860960220160. Its totient is φ = 266629708800.

The previous prime is 1002122011169. The next prime is 1002122011229. The reversal of 1002122011212 is 2121102212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002122011191 and 1002122011200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227908198 + ... + 227912594.

It is an arithmetic number, because the mean of its divisors is an integer number (14900834480).

Almost surely, 21002122011212 is an apocalyptic number.

1002122011212 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 1002122011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430480110080).

1002122011212 is an abundant number, since it is smaller than the sum of its proper divisors (1858838208948).

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

1002122011212 is a wasteful number, since it uses less digits than its factorization.

1002122011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002122011212 its reverse (2121102212001), we get a palindrome (3123224223213).

The spelling of 1002122011212 in words is "one trillion, two billion, one hundred twenty-two million, eleven thousand, two hundred twelve".