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20021211202000 = 2453171956355049
BaseRepresentation
bin1001000110101100011010…
…01011101000000111010000
32121220000020122002012200211
410203112031023220013100
510111011420031431000
6110325341211453504
74134325164200641
oct443261513500720
977800218065624
1020021211202000
116419a47854048
1222b42b3157294
13b22cb88a5838
144d306334b6c8
1524abe71017ba
hex12358d2e81d0

20021211202000 has 320 divisors, whose sum is σ = 54053674272000. Its totient is φ = 7127879270400.

The previous prime is 20021211201853. The next prime is 20021211202001. The reversal of 20021211202000 is 20211212002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021211202001) 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 63 ways as a sum of consecutive naturals, for example, 363670476 + ... + 363725524.

It is an arithmetic number, because the mean of its divisors is an integer number (168917732100).

Almost surely, 220021211202000 is an apocalyptic number.

20021211202000 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 20021211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27026837136000).

20021211202000 is an abundant number, since it is smaller than the sum of its proper divisors (34032463070000).

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

20021211202000 is a wasteful number, since it uses less digits than its factorization.

20021211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55671 (or 55655 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20021211202000 its reverse (20211212002), we get a palindrome (20041422414002).

The spelling of 20021211202000 in words is "twenty trillion, twenty-one billion, two hundred eleven million, two hundred two thousand".