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20403023310 = 2335237345007
BaseRepresentation
bin10011000000000111…
…010110110111001110
31221122220212222022000
4103000013112313032
5313241133221220
613212323333130
71321414556655
oct230007266716
957586788260
1020403023310
11871aa7a43a
123b54b211a6
131c02037377
14db7a3619c
157e632a390
hex4c01d6dce

20403023310 has 128 divisors (see below), whose sum is σ = 57552629760. Its totient is φ = 5132844288.

The previous prime is 20403023309. The next prime is 20403023321. The reversal of 20403023310 is 1332030402.

20403023310 is a `hidden beast` number, since 20 + 403 + 0 + 233 + 10 = 666.

It is a super-2 number, since 2×204030233102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430827 + ... + 475833.

It is an arithmetic number, because the mean of its divisors is an integer number (449629920).

Almost surely, 220403023310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20403023310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28776314880).

20403023310 is an abundant number, since it is smaller than the sum of its proper divisors (37149606450).

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

20403023310 is a wasteful number, since it uses less digits than its factorization.

20403023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45119 (or 45113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20403023310 its reverse (1332030402), we get a palindrome (21735053712).

The spelling of 20403023310 in words is "twenty billion, four hundred three million, twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 73 90 115 135 138 146 207 219 230 270 345 365 414 438 621 657 690 730 1035 1095 1242 1314 1679 1971 2070 2190 3105 3285 3358 3942 5037 6210 6570 8395 9855 10074 15111 16790 19710 25185 30222 45007 45333 50370 75555 90014 90666 135021 151110 225035 226665 270042 405063 450070 453330 675105 810126 1035161 1215189 1350210 2025315 2070322 2430378 3105483 3285511 4050630 5175805 6075945 6210966 6571022 9316449 9856533 10351610 12151890 15527415 16427555 18632898 19713066 27949347 29569599 31054830 32855110 46582245 49282665 55898694 59139198 75566753 88708797 93164490 98565330 139746735 147847995 151133506 177417594 226700259 279493470 295695990 377833765 443543985 453400518 680100777 755667530 887087970 1133501295 1360201554 2040302331 2267002590 3400503885 4080604662 6801007770 10201511655 20403023310