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211220021210112 = 2103222918839107
BaseRepresentation
bin110000000001101001111110…
…010101010110110000000000
31000200212102210110000021102200
4300001221332111112300000
5210141112100412210422
62025121045503113200
762330100013111125
oct6001517625266000
91020772713007380
10211220021210112
11613349a95299a2
121b833a318a2800
1390b1c688c4b95
143a231642c474c
1519644b67282ac
hexc01a7e556c00

211220021210112 has 66 divisors (see below), whose sum is σ = 609893227502988. Its totient is φ = 70406673733632.

The previous prime is 211220021210111. The next prime is 211220021210131. The reversal of 211220021210112 is 211012120022112.

211220021210112 is a `hidden beast` number, since 211 + 220 + 0 + 2 + 121 + 0 + 112 = 666.

It is a super-2 number, since 2×2112200212101122 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211220021210111) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11459410338 + ... + 11459428769.

It is an arithmetic number, because the mean of its divisors is an integer number (9240806477318).

Almost surely, 2211220021210112 is an apocalyptic number.

It is an amenable number.

211220021210112 is an abundant number, since it is smaller than the sum of its proper divisors (398673206292876).

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

211220021210112 is a wasteful number, since it uses less digits than its factorization.

211220021210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22918839133 (or 22918839112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211220021210112 its reverse (211012120022112), we get a palindrome (422232141232224).

The spelling of 211220021210112 in words is "two hundred eleven trillion, two hundred twenty billion, twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 22918839107 45837678214 68756517321 91675356428 137513034642 183350712856 206269551963 275026069284 366701425712 412539103926 550052138568 733402851424 825078207852 1100104277136 1466805702848 1650156415704 2200208554272 2933611405696 3300312831408 4400417108544 5867222811392 6600625662816 8800834217088 11734445622784 13201251325632 17601668434176 23468891245568 26402502651264 35203336868352 52805005302528 70406673736704 105610010605056 211220021210112