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211221021132 = 223211533386417
BaseRepresentation
bin1100010010110111000…
…0010000000111001100
3202012012100121121201200
43010231300100013030
511430040040134012
6241011131305500
721155153025222
oct3045560200714
9665170547650
10211221021132
118163a83a490
1234b295ab290
1316bc1c80c54
14a31a486b12
1557636213dc
hex312dc101cc

211221021132 has 36 divisors (see below), whose sum is σ = 582457968456. Its totient is φ = 64006369920.

The previous prime is 211221021127. The next prime is 211221021161. The reversal of 211221021132 is 231120122112.

211221021132 is a `hidden beast` number, since 211 + 2 + 210 + 211 + 32 = 666.

211221021132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2112210211322 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266692813 + ... + 266693604.

Almost surely, 2211221021132 is an apocalyptic number.

211221021132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211221021132 is an abundant number, since it is smaller than the sum of its proper divisors (371236947324).

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

211221021132 is a wasteful number, since it uses less digits than its factorization.

211221021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533386438 (or 533386433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211221021132 its reverse (231120122112), we get a palindrome (442341143244).

The spelling of 211221021132 in words is "two hundred eleven billion, two hundred twenty-one million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 533386417 1066772834 1600159251 2133545668 3200318502 4800477753 5867250587 6400637004 9600955506 11734501174 17601751761 19201911012 23469002348 35203503522 52805255283 70407007044 105610510566 211221021132