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20310203400 = 23352271124909
BaseRepresentation
bin10010111010100101…
…010001110000001000
31221102110020020022120
4102322211101300020
5313043403002100
613155210051240
71316206610664
oct227245216010
957373206276
1020310203400
118682642473
123b29a19b20
131bb8a38a46
14da95938a4
157dd0e30a0
hex4ba951c08

20310203400 has 96 divisors (see below), whose sum is σ = 63194467200. Its totient is φ = 5396025600.

The previous prime is 20310203359. The next prime is 20310203401. The reversal of 20310203400 is 430201302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20310203400.

It is not an unprimeable number, because it can be changed into a prime (20310203401) 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, 100146 + ... + 225054.

It is an arithmetic number, because the mean of its divisors is an integer number (658275700).

Almost surely, 220310203400 is an apocalyptic number.

20310203400 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 20310203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31597233600).

20310203400 is an abundant number, since it is smaller than the sum of its proper divisors (42884263800).

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

20310203400 is a wasteful number, since it uses less digits than its factorization.

20310203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125199 (or 125190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20310203400 its reverse (430201302), we get a palindrome (20740404702).

The spelling of 20310203400 in words is "twenty billion, three hundred ten million, two hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 271 300 542 600 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 6775 8130 10840 13550 16260 20325 27100 32520 40650 54200 81300 124909 162600 249818 374727 499636 624545 749454 999272 1249090 1498908 1873635 2498180 2997816 3122725 3747270 4996360 6245450 7494540 9368175 12490900 14989080 18736350 24981800 33850339 37472700 67700678 74945400 101551017 135401356 169251695 203102034 270802712 338503390 406204068 507755085 677006780 812408136 846258475 1015510170 1354013560 1692516950 2031020340 2538775425 3385033900 4062040680 5077550850 6770067800 10155101700 20310203400