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211000022112 = 253111031939909
BaseRepresentation
bin1100010010000010010…
…1001101010001100000
3202011121221202201001210
43010200211031101200
511424112001201422
6240533154430120
721146530411215
oct3044045152140
9664557681053
10211000022112
1181537014670
1234a87592340
1316b882538b9
14a2d8d99b0c
15574e01a10c
hex312094d460

211000022112 has 96 divisors (see below), whose sum is σ = 610093935360. Its totient is φ = 63318597120.

The previous prime is 211000022081. The next prime is 211000022113. The reversal of 211000022112 is 211220000112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861187 + ... + 1078722.

It is an arithmetic number, because the mean of its divisors is an integer number (6355145160).

Almost surely, 2211000022112 is an apocalyptic number.

211000022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211000022112 is an abundant number, since it is smaller than the sum of its proper divisors (399093913248).

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

211000022112 is a wasteful number, since it uses less digits than its factorization.

211000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940036 (or 1940028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211000022112 its reverse (211220000112), we get a palindrome (422220022224).

The spelling of 211000022112 in words is "two hundred eleven billion, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 824 1056 1133 1236 1648 2266 2472 3296 3399 4532 4944 6798 9064 9888 13596 18128 27192 36256 54384 108768 1939909 3879818 5819727 7759636 11639454 15519272 21338999 23278908 31038544 42677998 46557816 62077088 64016997 85355996 93115632 128033994 170711992 186231264 199810627 256067988 341423984 399621254 512135976 599431881 682847968 799242508 1024271952 1198863762 1598485016 2048543904 2197916897 2397727524 3196970032 4395833794 4795455048 6393940064 6593750691 8791667588 9590910096 13187501382 17583335176 19181820192 26375002764 35166670352 52750005528 70333340704 105500011056 211000022112