Search a number
-
+
21002220122000 = 2453132397274649
BaseRepresentation
bin1001100011001111101011…
…10111101010111110010000
32202100210101211102210222112
410301213311313222332100
510223100021322401000
6112400141533324452
74265234410344545
oct461476567527620
982323354383875
1021002220122000
116767a9a8064a7
122432455036728
13b94668507a20
1452872749cbcc
152664b1491235
hex1319f5deaf90

21002220122000 has 320 divisors, whose sum is σ = 55005979392000. Its totient is φ = 7709938790400.

The previous prime is 21002220121957. The next prime is 21002220122041. The reversal of 21002220122000 is 22102220012.

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, 4517575676 + ... + 4517580324.

It is an arithmetic number, because the mean of its divisors is an integer number (171893685600).

Almost surely, 221002220122000 is an apocalyptic number.

21002220122000 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 21002220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27502989696000).

21002220122000 is an abundant number, since it is smaller than the sum of its proper divisors (34003759270000).

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

21002220122000 is a wasteful number, since it uses less digits than its factorization.

21002220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5651 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21002220122000 its reverse (22102220012), we get a palindrome (21024322342012).

The spelling of 21002220122000 in words is "twenty-one trillion, two billion, two hundred twenty million, one hundred twenty-two thousand".