Search a number
-
+
22413303131340 = 22351153731632029
BaseRepresentation
bin1010001100010100000001…
…11110001010110011001100
32221100200122122001211002210
411012022000332022303030
510414204421100200330
6115400310155350420
74502210355126312
oct506120076126314
987320578054083
1022413303131340
117161479338740
12261ba21a52410
13c677472b1294
14576b499c60b2
1528d04c5da8b0
hex146280f8accc

22413303131340 has 96 divisors (see below), whose sum is σ = 68463835695360. Its totient is φ = 5433418310400.

The previous prime is 22413303131321. The next prime is 22413303131341. The reversal of 22413303131340 is 4313130331422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22413303131298 and 22413303131307.

It is not an unprimeable number, because it can be changed into a prime (22413303131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35146446 + ... + 35778474.

It is an arithmetic number, because the mean of its divisors is an integer number (713164955160).

Almost surely, 222413303131340 is an apocalyptic number.

22413303131340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22413303131340 is an abundant number, since it is smaller than the sum of its proper divisors (46050532564020).

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

22413303131340 is a wasteful number, since it uses less digits than its factorization.

22413303131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685783 (or 685781 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 22413303131340 its reverse (4313130331422), we get a palindrome (26726433462762).

The spelling of 22413303131340 in words is "twenty-two trillion, four hundred thirteen billion, three hundred three million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 53731 107462 161193 214924 268655 322386 537310 591041 632029 644772 805965 1074620 1182082 1264058 1611930 1773123 1896087 2364164 2528116 2955205 3160145 3223860 3546246 3792174 5910410 6320290 6952319 7092492 7584348 8865615 9480435 11820820 12640580 13904638 17731230 18960870 20856957 27809276 34761595 35462460 37921740 41713914 69523190 83427828 104284785 139046380 208569570 417139140 33959550199 67919100398 101878650597 135838200796 169797750995 203757301194 339595501990 373555052189 407514602388 509393252985 679191003980 747110104378 1018786505970 1120665156567 1494220208756 1867775260945 2037573011940 2241330313134 3735550521890 4482660626268 5603325782835 7471101043780 11206651565670 22413303131340