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21331114344 = 23331734716741
BaseRepresentation
bin10011110111011011…
…101111100101101000
32001001121020212212000
4103313123233211220
5322141231124334
613444355451000
71353414323511
oct236733574550
961047225760
1021331114344
119056948a21
1241738b6a60
13201c3b7b67
141064dc5a08
1584ca55299
hex4f76ef968

21331114344 has 128 divisors (see below), whose sum is σ = 62923132800. Its totient is φ = 6672430080.

The previous prime is 21331114333. The next prime is 21331114367. The reversal of 21331114344 is 44341113312.

21331114344 is a `hidden beast` number, since 2 + 1 + 3 + 311 + 1 + 4 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265814 + ... + 1282554.

It is an arithmetic number, because the mean of its divisors is an integer number (491586975).

Almost surely, 221331114344 is an apocalyptic number.

21331114344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21331114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31461566400).

21331114344 is an abundant number, since it is smaller than the sum of its proper divisors (41592018456).

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

21331114344 is a wasteful number, since it uses less digits than its factorization.

21331114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17120 (or 17110 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21331114344 its reverse (44341113312), we get a palindrome (65672227656).

The spelling of 21331114344 in words is "twenty-one billion, three hundred thirty-one million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 347 408 459 612 694 918 1041 1224 1388 1836 2082 2776 3123 3672 4164 5899 6246 8328 9369 11798 12492 16741 17697 18738 23596 24984 33482 35394 37476 47192 50223 53091 66964 70788 74952 100446 106182 133928 141576 150669 159273 200892 212364 284597 301338 318546 401784 424728 452007 569194 602676 637092 853791 904014 1138388 1205352 1274184 1707582 1808028 2276776 2561373 3415164 3616056 5122746 5809127 6830328 7684119 10245492 11618254 15368238 17427381 20490984 23236508 30736476 34854762 46473016 52282143 61472952 69709524 98755159 104564286 139419048 156846429 197510318 209128572 296265477 313692858 395020636 418257144 592530954 627385716 790041272 888796431 1185061908 1254771432 1777592862 2370123816 2666389293 3555185724 5332778586 7110371448 10665557172 21331114344