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22013331312 = 2437109647929
BaseRepresentation
bin10100100000000110…
…001100011101110000
32002211010222002121010
4110200012030131300
5330040403100222
614040210030520
71406340141330
oct244006143560
962733862533
1022013331312
119376a516a5
124324278440
1320ca83bc3b
1410cb8510c0
1588c8b380c
hex52018c770

22013331312 has 160 divisors (see below), whose sum is σ = 65760076800. Its totient is φ = 6215491584.

The previous prime is 22013331311. The next prime is 22013331313. The reversal of 22013331312 is 21313331022.

It is an interprime number because it is at equal distance from previous prime (22013331311) and next prime (22013331313).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013331311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23695264 + ... + 23696192.

It is an arithmetic number, because the mean of its divisors is an integer number (411000480).

Almost surely, 222013331312 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 22013331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32880038400).

22013331312 is an abundant number, since it is smaller than the sum of its proper divisors (43746745488).

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

22013331312 is a wasteful number, since it uses less digits than its factorization.

22013331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22013331312 its reverse (21313331022), we get a palindrome (43326662334).

The spelling of 22013331312 in words is "twenty-two billion, thirteen million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 647 654 763 872 929 1294 1308 1526 1744 1858 1941 2289 2588 2616 2787 3052 3716 3882 4529 4578 5176 5232 5574 6104 6503 7432 7764 9058 9156 10352 11148 12208 13006 13587 14864 15528 18116 18312 19509 22296 26012 27174 31056 36232 36624 39018 44592 52024 54348 70523 72464 78036 101261 104048 108696 141046 156072 202522 211569 217392 282092 303783 312144 405044 423138 493661 564184 601063 607566 708827 810088 846276 987322 1128368 1202126 1215132 1417654 1480983 1620176 1692552 1803189 1974644 2126481 2404252 2430264 2835308 2961966 3385104 3606378 3949288 4207441 4252962 4808504 4860528 5670616 5923932 7212756 7898576 8414882 8505924 9617008 11341232 11847864 12622323 14425512 16829764 17011848 23695728 25244646 28851024 33659528 34023696 50489292 65515867 67319056 100978584 131031734 196547601 201957168 262063468 393095202 458611069 524126936 786190404 917222138 1048253872 1375833207 1572380808 1834444276 2751666414 3144761616 3668888552 5503332828 7337777104 11006665656 22013331312