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211012123320 = 233253715841751
BaseRepresentation
bin1100010010000101001…
…1010111101010111000
3202011122210112111210200
43010201103113222320
511424123100421240
6240534310042200
721150035311545
oct3044123275270
9664583474720
10211012123320
118154292a469
1234a8b649360
1316b8a8cc98b
14a2da829bcc
15575010a930
hex31214d7ab8

211012123320 has 96 divisors (see below), whose sum is σ = 704324293920. Its totient is φ = 54749088000.

The previous prime is 211012123279. The next prime is 211012123321. The reversal of 211012123320 is 23321210112.

211012123320 is a `hidden beast` number, since 21 + 101 + 212 + 332 + 0 = 666.

It is a super-2 number, since 2×2110121233202 (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 a junction number, because it is equal to n+sod(n) for n = 211012123293 and 211012123302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012123321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7907556 + ... + 7934195.

It is an arithmetic number, because the mean of its divisors is an integer number (7336711395).

Almost surely, 2211012123320 is an apocalyptic number.

211012123320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012123320 is an abundant number, since it is smaller than the sum of its proper divisors (493312170600).

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

211012123320 is a wasteful number, since it uses less digits than its factorization.

211012123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15841805 (or 15841798 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211012123320 its reverse (23321210112), we get a palindrome (234333333432).

The spelling of 211012123320 in words is "two hundred eleven billion, twelve million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 15841751 31683502 47525253 63367004 79208755 95050506 126734008 142575759 158417510 190101012 237626265 285151518 316835020 380202024 475252530 570303036 586144787 633670040 712878795 950505060 1140606072 1172289574 1425757590 1758434361 1901010120 2344579148 2851515180 2930723935 3516868722 4689158296 5275303083 5703030360 5861447870 7033737444 8792171805 10550606166 11722895740 14067474888 17584343610 21101212332 23445791480 26376515415 35168687220 42202424664 52753030830 70337374440 105506061660 211012123320