Search a number
-
+
21100003320000 = 263541137432023
BaseRepresentation
bin1001100110000101110100…
…01100111110000011000000
32202201010210111202221120110
410303002322030332003000
510231200301322220000
6112513112510511320
74305265515664503
oct463027214760300
982633714687513
1021100003320000
1167a5508886430
1224493a4505540
13ba094c9821b7
1452d361d4b13a
15268cd5c90850
hex1330ba33e0c0

21100003320000 has 560 divisors, whose sum is σ = 78160524026112. Its totient is φ = 4976893440000.

The previous prime is 21100003319999. The next prime is 21100003320001. The reversal of 21100003320000 is 2330000112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21100003319999) and next prime (21100003320001).

It is a super-2 number, since 2×211000033200002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21100003320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48623989 + ... + 49056011.

Almost surely, 221100003320000 is an apocalyptic number.

21100003320000 is a gapful number since it is divisible by the number (20) 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 21100003320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39080262013056).

21100003320000 is an abundant number, since it is smaller than the sum of its proper divisors (57060520706112).

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

21100003320000 is a wasteful number, since it uses less digits than its factorization.

21100003320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432106 (or 432081 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21100003320000 its reverse (2330000112), we get a palindrome (21102333320112).

The spelling of 21100003320000 in words is "twenty-one trillion, one hundred billion, three million, three hundred twenty thousand".