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211020122112 = 211389385907
BaseRepresentation
bin1100010010000111000…
…1111000100000000000
3202011200100120220002020
43010201301320200000
511424132122401422
6240535153321440
721150163304622
oct3044161704000
9664610526066
10211020122112
11815473a3038
1234a92266280
1316b8c4706a7
14a2db90cc12
155750b8a95c
hex3121c78800

211020122112 has 96 divisors (see below), whose sum is σ = 568905573600. Its totient is φ = 69549522944.

The previous prime is 211020122083. The next prime is 211020122113. The reversal of 211020122112 is 211221020112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211020122091 and 211020122100.

It is not an unprimeable number, because it can be changed into a prime (211020122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353863 + ... + 739769.

It is an arithmetic number, because the mean of its divisors is an integer number (5926099725).

Almost surely, 2211020122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284452786800).

211020122112 is an abundant number, since it is smaller than the sum of its proper divisors (357885451488).

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

211020122112 is an equidigital number, since it uses as much as digits as its factorization.

211020122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386021 (or 386001 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211020122112 its reverse (211221020112), we get a palindrome (422241142224).

The spelling of 211020122112 in words is "two hundred eleven billion, twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1024 1068 1424 1536 2048 2136 2848 3072 4272 5696 6144 8544 11392 17088 22784 34176 45568 68352 91136 136704 182272 273408 385907 546816 771814 1157721 1543628 2315442 3087256 4630884 6174512 9261768 12349024 18523536 24698048 34345723 37047072 49396096 68691446 74094144 98792192 103037169 137382892 148188288 197584384 206074338 274765784 296376576 395168768 412148676 549531568 592753152 790337536 824297352 1099063136 1185506304 1648594704 2198126272 2371012608 3297189408 4396252544 6594378816 8792505088 13188757632 17585010176 26377515264 35170020352 52755030528 70340040704 105510061056 211020122112