Search a number
-
+
1002220101012 = 223132915110311423
BaseRepresentation
bin11101001010110001111…
…10010001110110010100
310112210220102221020112110
432211120332101312110
5112410021321213022
62044225154551020
7132256643204514
oct16453076216624
93483812836473
101002220101012
11357048134719
121422a1598470
1373680217590
1436717237844
151b10b60400c
hexe958f91d94

1002220101012 has 192 divisors, whose sum is σ = 2626882191360. Its totient is φ = 295275456000.

The previous prime is 1002220100971. The next prime is 1002220101037. The reversal of 1002220101012 is 2101010222001.

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

It is a congruent number.

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, 704300133 + ... + 704301555.

It is an arithmetic number, because the mean of its divisors is an integer number (13681678080).

Almost surely, 21002220101012 is an apocalyptic number.

1002220101012 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 1002220101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313441095680).

1002220101012 is an abundant number, since it is smaller than the sum of its proper divisors (1624662090348).

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

1002220101012 is a wasteful number, since it uses less digits than its factorization.

1002220101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2652 counting only the distinct ones).

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

Adding to 1002220101012 its reverse (2101010222001), we get a palindrome (3103230323013).

The spelling of 1002220101012 in words is "one trillion, two billion, two hundred twenty million, one hundred one thousand, twelve".