Search a number
-
+
21112131222 = 2337134296323
BaseRepresentation
bin10011101010011000…
…011000111010010110
32000111100012101111000
4103222120120322112
5321214201144342
613410534124130
71345115103660
oct235230307226
960440171430
1021112131222
118a5427a736
1241124b0646
131cb5c15250
141043ca1530
158386eb44c
hex4ea618e96

21112131222 has 64 divisors (see below), whose sum is σ = 57742594560. Its totient is φ = 5568033312.

The previous prime is 21112131179. The next prime is 21112131239. The reversal of 21112131222 is 22213121112.

21112131222 is a `hidden beast` number, since 211 + 121 + 312 + 22 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21112131195 and 21112131204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2143248 + ... + 2153075.

It is an arithmetic number, because the mean of its divisors is an integer number (902228040).

Almost surely, 221112131222 is an apocalyptic number.

21112131222 is an abundant number, since it is smaller than the sum of its proper divisors (36630463338).

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

21112131222 is a wasteful number, since it uses less digits than its factorization.

21112131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296354 (or 4296348 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 21112131222 its reverse (22213121112), we get a palindrome (43325252334).

The spelling of 21112131222 in words is "twenty-one billion, one hundred twelve million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 4296323 8592646 12888969 25777938 30074261 38666907 55852199 60148522 77333814 90222783 111704398 116000721 167556597 180445566 232001442 270668349 335113194 390965393 502669791 541336698 781930786 812005047 1005339582 1172896179 1508009373 1624010094 2345792358 3016018746 3518688537 7037377074 10556065611 21112131222