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221311301220 = 223352914132267
BaseRepresentation
bin1100111000011100101…
…1100111011001100100
3210011020120020221212000
43032013023213121210
512111221143114340
6245400301125300
721663205010352
oct3160713473144
9704216227760
10221311301220
1185948507239
1236a84859830
1317b3c58a999
14a9d65ca7d2
155b543b3d30
hex33872e7664

221311301220 has 96 divisors (see below), whose sum is σ = 712266307200. Its totient is φ = 56981296512.

The previous prime is 221311301219. The next prime is 221311301243. The reversal of 221311301220 is 22103113122.

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 = 221311301193 and 221311301202.

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, 7050474 + ... + 7081793.

It is an arithmetic number, because the mean of its divisors is an integer number (7419440700).

Almost surely, 2221311301220 is an apocalyptic number.

221311301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221311301220 is an abundant number, since it is smaller than the sum of its proper divisors (490955005980).

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

221311301220 is a wasteful number, since it uses less digits than its factorization.

221311301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14132314 (or 14132306 counting only the distinct ones).

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

Adding to 221311301220 its reverse (22103113122), we get a palindrome (243414414342).

The spelling of 221311301220 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 14132267 28264534 42396801 56529068 70661335 84793602 127190403 141322670 169587204 211984005 254380806 282645340 381571209 409835743 423968010 508761612 635952015 763142418 819671486 847936020 1229507229 1271904030 1526284836 1639342972 1907856045 2049178715 2459014458 2543808060 3688521687 3815712090 4098357430 4918028916 6147536145 7377043374 7631424180 8196714860 11065565061 12295072290 14754086748 18442608435 22131130122 24590144580 36885216870 44262260244 55327825305 73770433740 110655650610 221311301220