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1020313200 = 24352850261
BaseRepresentation
bin111100110100001…
…011111001110000
32122002220021120210
4330310023321300
54042200010300
6245124504120
734166343024
oct7464137160
92562807523
101020313200
11483a38455
1224584b040
1313350002a
1499718384
155e895050
hex3cd0be70

1020313200 has 60 divisors (see below), whose sum is σ = 3268407128. Its totient is φ = 272083200.

The previous prime is 1020313187. The next prime is 1020313223. The reversal of 1020313200 is 23130201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423931 + ... + 426330.

Almost surely, 21020313200 is an apocalyptic number.

1020313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020313200 is an abundant number, since it is smaller than the sum of its proper divisors (2248093928).

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

1020313200 is a wasteful number, since it uses less digits than its factorization.

1020313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850282 (or 850271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1020313200 is about 31942.3418051964. The cubic root of 1020313200 is about 1006.7257298114.

Adding to 1020313200 its reverse (23130201), we get a palindrome (1043443401).

The spelling of 1020313200 in words is "one billion, twenty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 850261 1700522 2550783 3401044 4251305 5101566 6802088 8502610 10203132 12753915 13604176 17005220 20406264 21256525 25507830 34010440 40812528 42513050 51015660 63769575 68020880 85026100 102031320 127539150 170052200 204062640 255078300 340104400 510156600 1020313200