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70021020211200 = 2113252276754917
BaseRepresentation
bin11111110101111000010100…
…00010010101100000000000
3100011220221111021212010201100
433322330022002111200000
533134211022133224300
6404531113531334400
720514565104336432
oct1772741202254000
9304827437763640
1070021020211200
11203468255129a3
127a2a661bb1400
13300bc528770b6
14134106d43a652
1581661a0d6700
hex3faf0a095800

70021020211200 has 432 divisors, whose sum is σ = 250864813311840. Its totient is φ = 18665183969280.

The previous prime is 70021020211171. The next prime is 70021020211211. The reversal of 70021020211200 is 211202012007.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1275006142 + ... + 1275061058.

It is an arithmetic number, because the mean of its divisors is an integer number (580705586370).

Almost surely, 270021020211200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70021020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125432406655920).

70021020211200 is an abundant number, since it is smaller than the sum of its proper divisors (180843793100640).

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

70021020211200 is a wasteful number, since it uses less digits than its factorization.

70021020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57722 (or 57694 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 70021020211200 its reverse (211202012007), we get a palindrome (70232222223207).

The spelling of 70021020211200 in words is "seventy trillion, twenty-one billion, twenty million, two hundred eleven thousand, two hundred".