Search a number
-
+
211100123322 = 23411891331039
BaseRepresentation
bin1100010010011010001…
…1000100000010111010
3202011212221010101010000
43010212203010002322
511424313112421242
6240551132133430
721152154304404
oct3044643040272
9664787111100
10211100123322
1181588575140
1234ab5007276
1316ba2c0149a
14a3083b5b74
155757bdea4c
hex31268c40ba

211100123322 has 80 divisors (see below), whose sum is σ = 521820921600. Its totient is φ = 63250925760.

The previous prime is 211100123317. The next prime is 211100123327. The reversal of 211100123322 is 223321001112.

211100123322 is a `hidden beast` number, since 211 + 10 + 0 + 123 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (211100123317) and next prime (211100123327).

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 = 211100123295 and 211100123304.

It is not an unprimeable number, because it can be changed into a prime (211100123327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506922 + ... + 824117.

It is an arithmetic number, because the mean of its divisors is an integer number (6522761520).

Almost surely, 2211100123322 is an apocalyptic number.

211100123322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211100123322 is an abundant number, since it is smaller than the sum of its proper divisors (310720798278).

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

211100123322 is a wasteful number, since it uses less digits than its factorization.

211100123322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331153 (or 1331144 counting only the distinct ones).

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

Adding to 211100123322 its reverse (223321001112), we get a palindrome (434421124434).

The spelling of 211100123322 in words is "two hundred eleven billion, one hundred million, one hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 89 99 162 178 198 267 297 534 594 801 891 979 1602 1782 1958 2403 2937 4806 5874 7209 8811 14418 17622 26433 52866 79299 158598 1331039 2662078 3993117 7986234 11979351 14641429 23958702 29282858 35938053 43924287 71876106 87848574 107814159 118462471 131772861 215628318 236924942 263545722 355387413 395318583 710774826 790637166 1066162239 1185955749 1303087181 2132324478 2371911498 2606174362 3198486717 3909261543 6396973434 7818523086 9595460151 11727784629 19190920302 23455569258 35183353887 70366707774 105550061661 211100123322