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20203102440 = 23325263213383
BaseRepresentation
bin10010110100001100…
…101110000011101000
31221010222200221102100
4102310030232003220
5312333443234230
613140422333400
71313436352203
oct226414560350
957128627370
1020203102440
118628140984
123ab9b8a260
131b9c7aa0b1
14d9927493a
157d39d9660
hex4b432e0e8

20203102440 has 96 divisors (see below), whose sum is σ = 65910049920. Its totient is φ = 5366984064.

The previous prime is 20203102429. The next prime is 20203102441. The reversal of 20203102440 is 4420130202.

20203102440 is a `hidden beast` number, since 20 + 203 + 1 + 0 + 2 + 440 = 666.

It is a super-2 number, since 2×202031024402 (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 not an unprimeable number, because it can be changed into a prime (20203102441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12012 + ... + 201371.

It is an arithmetic number, because the mean of its divisors is an integer number (686563020).

Almost surely, 220203102440 is an apocalyptic number.

20203102440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20203102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32955024960).

20203102440 is an abundant number, since it is smaller than the sum of its proper divisors (45706947480).

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

20203102440 is a wasteful number, since it uses less digits than its factorization.

20203102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213663 (or 213656 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20203102440 its reverse (4420130202), we get a palindrome (24623232642).

The spelling of 20203102440 in words is "twenty billion, two hundred three million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 263 360 526 789 1052 1315 1578 2104 2367 2630 3156 3945 4734 5260 6312 7890 9468 10520 11835 15780 18936 23670 31560 47340 94680 213383 426766 640149 853532 1066915 1280298 1707064 1920447 2133830 2560596 3200745 3840894 4267660 5121192 6401490 7681788 8535320 9602235 12802980 15363576 19204470 25605960 38408940 56119729 76817880 112239458 168359187 224478916 280598645 336718374 448957832 505077561 561197290 673436748 841795935 1010155122 1122394580 1346873496 1683591870 2020310244 2244789160 2525387805 3367183740 4040620488 5050775610 6734367480 10101551220 20203102440