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4200212401021 = 721383259130661
BaseRepresentation
bin111101000111110000001…
…010110000101101111101
3112212112111000122110212001
4331013300022300231331
51022304013333313041
612533315000342301
7612312115224100
oct75076012605575
915775430573761
104200212401021
11137a3334458aa
1257a042774991
13246103124590
14107411710737
15743ccdd8131
hex3d1f02b0b7d

4200212401021 has 48 divisors (see below), whose sum is σ = 5327428796928. Its totient is φ = 3281831683200.

The previous prime is 4200212400983. The next prime is 4200212401051. The reversal of 4200212401021 is 1201042120024.

It is not a de Polignac number, because 4200212401021 - 221 = 4200210303869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4200212401021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200212401051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136973431 + ... + 137004091.

It is an arithmetic number, because the mean of its divisors is an integer number (110988099936).

Almost surely, 24200212401021 is an apocalyptic number.

It is an amenable number.

4200212401021 is a deficient number, since it is larger than the sum of its proper divisors (1127216395907).

4200212401021 is a wasteful number, since it uses less digits than its factorization.

4200212401021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33362 (or 33355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 4200212401021 its reverse (1201042120024), we get a palindrome (5401254521045).

The spelling of 4200212401021 in words is "four trillion, two hundred billion, two hundred twelve million, four hundred one thousand, twenty-one".

Divisors: 1 7 13 49 83 91 581 637 1079 2591 4067 7553 18137 30661 33683 52871 126959 214627 215053 235781 398593 1502389 1505371 1650467 2544863 2790151 2795689 10537597 17814041 19531057 19569823 33083219 79442651 124698287 136988761 231582533 556098557 1032754463 1621077731 3892689899 6593740033 7229281241 46156180231 50604968687 85718620429 323093261617 600030343003 4200212401021