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31221421224 = 23371927735311
BaseRepresentation
bin11101000100111100…
…010001010010101000
32222120212121112022020
4131010330101102220
51002420140434344
622202023224440
72153460462450
oct350474212250
988525545266
1031221421224
1112271750964
126073ba8120
132c37449856
141722752d60
15c2ae96719
hex744f114a8

31221421224 has 128 divisors (see below), whose sum is σ = 94240665600. Its totient is φ = 8420163840.

The previous prime is 31221421211. The next prime is 31221421237. The reversal of 31221421224 is 42212412213.

It is an interprime number because it is at equal distance from previous prime (31221421211) and next prime (31221421237).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 31221421194 and 31221421203.

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, 866529 + ... + 901839.

It is an arithmetic number, because the mean of its divisors is an integer number (736255200).

Almost surely, 231221421224 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 31221421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47120332800).

31221421224 is an abundant number, since it is smaller than the sum of its proper divisors (63019244376).

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

31221421224 is a wasteful number, since it uses less digits than its factorization.

31221421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35623 (or 35619 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 31221421224 its reverse (42212412213), we get a palindrome (73433833437).

The spelling of 31221421224 in words is "thirty-one billion, two hundred twenty-one million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 277 399 456 532 554 798 831 1064 1108 1596 1662 1939 2216 3192 3324 3878 5263 5817 6648 7756 10526 11634 15512 15789 21052 23268 31578 35311 36841 42104 46536 63156 70622 73682 105933 110523 126312 141244 147364 211866 221046 247177 282488 294728 423732 442092 494354 670909 741531 847464 884184 988708 1341818 1483062 1977416 2012727 2683636 2966124 4025454 4696363 5367272 5932248 8050908 9392726 9781147 14089089 16101816 18785452 19562294 28178178 29343441 37570904 39124588 56356356 58686882 68468029 78249176 112712712 117373764 136936058 185841793 205404087 234747528 273872116 371683586 410808174 547744232 557525379 743367172 821616348 1115050758 1300892551 1486734344 1643232696 2230101516 2601785102 3902677653 4460203032 5203570204 7805355306 10407140408 15610710612 31221421224