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4223101134330 = 23251311331942373
BaseRepresentation
bin111101011101000100011…
…100010110010111111010
3112221201120011211121020100
4331131010130112113322
51023142402342244310
612552022121340230
7614052245235021
oct75350434262772
915851504747210
104223101134330
111389009548a21
12582570037676
13248310126960
141085835178b8
1574cbc569ec0
hex3d7447165fa

4223101134330 has 96 divisors (see below), whose sum is σ = 11929326763536. Its totient is φ = 1030333151232.

The previous prime is 4223101134323. The next prime is 4223101134337. The reversal of 4223101134330 is 334311013224.

It is a happy number.

4223101134330 is a `hidden beast` number, since 4 + 2 + 2 + 310 + 1 + 1 + 343 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4223101134323) and next prime (4223101134337).

It can be written as a sum of positive squares in 8 ways, for example, as 828230841 + 4222272903489 = 28779^2 + 2054817^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4223101134294 and 4223101134303.

It is not an unprimeable number, because it can be changed into a prime (4223101134337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15838977 + ... + 16103396.

Almost surely, 24223101134330 is an apocalyptic number.

4223101134330 is an abundant number, since it is smaller than the sum of its proper divisors (7706225629206).

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

4223101134330 is a wasteful number, since it uses less digits than its factorization.

4223101134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31942512 (or 31942509 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4223101134330 its reverse (334311013224), we get a palindrome (4557412147554).

The spelling of 4223101134330 in words is "four trillion, two hundred twenty-three billion, one hundred one million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 113 117 130 195 226 234 339 390 565 585 678 1017 1130 1170 1469 1695 2034 2938 3390 4407 5085 7345 8814 10170 13221 14690 22035 26442 44070 66105 132210 31942373 63884746 95827119 159711865 191654238 287481357 319423730 415250849 479135595 574962714 830501698 958271190 1245752547 1437406785 2076254245 2491505094 2874813570 3609488149 3737257641 4152508490 6228762735 7218976298 7474515282 10828464447 12457525470 18047440745 18686288205 21656928894 32485393341 36094881490 37372576410 46923345937 54142322235 64970786682 93846691874 108284644470 140770037811 162426966705 234616729685 281540075622 324853933410 422310113433 469233459370 703850189055 844620226866 1407700378110 2111550567165 4223101134330