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20403130120 = 23541109311367
BaseRepresentation
bin10011000000000111…
…110000111100001000
31221122221002101210221
4103000013300330020
5313241200130440
613212325515424
71321415513242
oct230007607410
957587071727
1020403130120
11872004270a
123b54b72b74
131c02073b79
14db7a63092
157e634bd4a
hex4c01f0f08

20403130120 has 128 divisors (see below), whose sum is σ = 47740492800. Its totient is φ = 7842355200.

The previous prime is 20403130103. The next prime is 20403130127. The reversal of 20403130120 is 2103130402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20403130094 and 20403130103.

It is not an unprimeable number, because it can be changed into a prime (20403130127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55594177 + ... + 55594543.

It is an arithmetic number, because the mean of its divisors is an integer number (372972600).

Almost surely, 220403130120 is an apocalyptic number.

20403130120 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 20403130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870246400).

20403130120 is an abundant number, since it is smaller than the sum of its proper divisors (27337362680).

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

20403130120 is a wasteful number, since it uses less digits than its factorization.

20403130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20403130120 its reverse (2103130402), we get a palindrome (22506260522).

The spelling of 20403130120 in words is "twenty billion, four hundred three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 109 164 205 218 311 328 367 410 436 545 622 734 820 872 1090 1244 1468 1555 1640 1835 2180 2488 2936 3110 3670 4360 4469 6220 7340 8938 12440 12751 14680 15047 17876 22345 25502 30094 33899 35752 40003 44690 51004 60188 63755 67798 75235 80006 89380 102008 114137 120376 127510 135596 150470 160012 169495 178760 200015 228274 255020 271192 300940 320024 338990 400030 456548 510040 570685 601880 677980 800060 913096 1141370 1355960 1389859 1600120 1640123 2282740 2779718 3280246 4565480 4679617 5559436 6560492 6949295 8200615 9359234 11118872 12440933 13120984 13898590 16401230 18718468 23398085 24881866 27797180 32802460 37436936 46796170 49763732 55594360 62204665 65604920 93592340 99527464 124409330 187184680 248818660 497637320 510078253 1020156506 2040313012 2550391265 4080626024 5100782530 10201565060 20403130120