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212241142212 = 223115953270097
BaseRepresentation
bin1100010110101010001…
…1101101000111000100
3202021211110011010202220
43011222203231013010
511434132213022322
6241300252132340
721222350641161
oct3055243550704
9667743133686
10212241142212
1182013656560
12351731670b0
13170254146a8
14a3b5b51068
1557c2e7955c
hex316a8ed1c4

212241142212 has 48 divisors (see below), whose sum is σ = 540342933312. Its totient is φ = 64304455680.

The previous prime is 212241142199. The next prime is 212241142247.

212241142212 is nontrivially palindromic in base 10.

212241142212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650748 + ... + 920844.

It is an arithmetic number, because the mean of its divisors is an integer number (11257144444).

Almost surely, 2212241142212 is an apocalyptic number.

212241142212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212241142212 is an abundant number, since it is smaller than the sum of its proper divisors (328101791100).

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

212241142212 is a wasteful number, since it uses less digits than its factorization.

212241142212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276068 (or 276066 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 212241 and 142212, that added together give a palindrome (354453).

The spelling of 212241142212 in words is "two hundred twelve billion, two hundred forty-one million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5953 11906 17859 23812 35718 65483 71436 130966 196449 261932 270097 392898 540194 785796 810291 1080388 1620582 2971067 3241164 5942134 8913201 11884268 17826402 35652804 1607887441 3215774882 4823662323 6431549764 9647324646 17686761851 19294649292 35373523702 53060285553 70747047404 106120571106 212241142212