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212242120040 = 2358237644173
BaseRepresentation
bin1100010110101010011…
…1011011110101101000
3202021211111222211002202
43011222213123311220
511434132440320130
6241300325115332
721222362153036
oct3055247336550
9667744884082
10212242120040
1182014164185
1235173558b48
13170256977a2
14a3b5d27556
1557c30be145
hex316a9dbd68

212242120040 has 32 divisors (see below), whose sum is σ = 477603487080. Its totient is φ = 84886409472.

The previous prime is 212242120039. The next prime is 212242120063. The reversal of 212242120040 is 40021242212.

It can be written as a sum of positive squares in 4 ways, for example, as 107438417284 + 104803702756 = 327778^2 + 323734^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212242119994 and 212242120021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7394 + ... + 651566.

Almost surely, 2212242120040 is an apocalyptic number.

212242120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212242120040 is an abundant number, since it is smaller than the sum of its proper divisors (265361367040).

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

212242120040 is a wasteful number, since it uses less digits than its factorization.

212242120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652421 (or 652417 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212242120040 its reverse (40021242212), we get a palindrome (252263362252).

The spelling of 212242120040 in words is "two hundred twelve billion, two hundred forty-two million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 8237 16474 32948 41185 65896 82370 164740 329480 644173 1288346 2576692 3220865 5153384 6441730 12883460 25766920 5306053001 10612106002 21224212004 26530265005 42448424008 53060530010 106121060020 212242120040