Search a number
-
+
212030021312032 = 257112324125935987
BaseRepresentation
bin110000001101011100010110…
…000110100001111000100000
31000210201212112202002211100111
4300031130112012201320200
5210242344440423441112
62030541125212301104
762442443405301220
oct6015342606417040
91023655482084314
10212030021312032
1161617477468230
121b944a09171794
139140464596211
143a504447d8080
15197a5c28e85a7
hexc0d7161a1e20

212030021312032 has 384 divisors, whose sum is σ = 545619839643648. Its totient is φ = 78646040985600.

The previous prime is 212030021311879. The next prime is 212030021312063. The reversal of 212030021312032 is 230213120030212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212030021311994 and 212030021312012.

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 63 ways as a sum of consecutive naturals, for example, 35415066543 + ... + 35415072529.

It is an arithmetic number, because the mean of its divisors is an integer number (1420884999072).

Almost surely, 2212030021312032 is an apocalyptic number.

212030021312032 is a gapful number since it is divisible by the number (22) 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 212030021312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272809919821824).

212030021312032 is an abundant number, since it is smaller than the sum of its proper divisors (333589818331616).

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

212030021312032 is a wasteful number, since it uses less digits than its factorization.

212030021312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212030021312032 its reverse (230213120030212), we get a palindrome (442243141342244).

The spelling of 212030021312032 in words is "two hundred twelve trillion, thirty billion, twenty-one million, three hundred twelve thousand, thirty-two".