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211212013224 = 23317230451559
BaseRepresentation
bin1100010010110100110…
…1111000111010101000
3202012011201122222012110
43010231031320322220
511430030233410344
6241010210242320
721155013330132
oct3045515707250
9665151588173
10211212013224
1181635747733
1234b265863a0
1316bc0148b24
14a3191c0052
1557629423b9
hex312d378ea8

211212013224 has 48 divisors (see below), whose sum is σ = 560917735200. Its totient is φ = 66262590208.

The previous prime is 211212013217. The next prime is 211212013261. The reversal of 211212013224 is 422310212112.

It is a happy number.

211212013224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112120132242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211212013224.

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 11 ways as a sum of consecutive naturals, for example, 15218844 + ... + 15232715.

It is an arithmetic number, because the mean of its divisors is an integer number (11685786150).

Almost surely, 2211212013224 is an apocalyptic number.

211212013224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211212013224 is an abundant number, since it is smaller than the sum of its proper divisors (349705721976).

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

211212013224 is a wasteful number, since it uses less digits than its factorization.

211212013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30451602 (or 30451581 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211212013224 its reverse (422310212112), we get a palindrome (633522225336).

The spelling of 211212013224 in words is "two hundred eleven billion, two hundred twelve million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 30451559 60903118 91354677 121806236 182709354 243612472 365418708 517676503 730837416 1035353006 1553029509 2070706012 3106059018 4141412024 6212118036 8800500551 12424236072 17601001102 26401501653 35202002204 52803003306 70404004408 105606006612 211212013224