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1030300313200 = 245243101593081
BaseRepresentation
bin11101111111000101010…
…11110010011001110000
310122111101101210211010021
432333202223302121300
5113340023340010300
62105151411213224
7134302542110404
oct16774253623160
93574341724107
101030300313200
11367a47737754
121478195a7214
137620693b152
1437c1c707104
151bc01911d1a
hexefe2af2670

1030300313200 has 120 divisors (see below), whose sum is σ = 2557943687376. Its totient is φ = 398549760000.

The previous prime is 1030300313179. The next prime is 1030300313221. The reversal of 1030300313200 is 23130030301.

It is an interprime number because it is at equal distance from previous prime (1030300313179) and next prime (1030300313221).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440660 + ... + 2033740.

Almost surely, 21030300313200 is an apocalyptic number.

1030300313200 is a gapful number since it is divisible by the number (10) 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 1030300313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278971843688).

1030300313200 is an abundant number, since it is smaller than the sum of its proper divisors (1527643374176).

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

1030300313200 is a wasteful number, since it uses less digits than its factorization.

1030300313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593243 (or 593232 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1030300313200 its reverse (23130030301), we get a palindrome (1053430343501).

The spelling of 1030300313200 in words is "one trillion, thirty billion, three hundred million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 101 172 200 202 215 344 400 404 430 505 688 808 860 1010 1075 1616 1720 2020 2150 2525 3440 4040 4300 4343 5050 8080 8600 8686 10100 17200 17372 20200 21715 34744 40400 43430 69488 86860 108575 173720 217150 347440 434300 593081 868600 1186162 1737200 2372324 2965405 4744648 5930810 9489296 11861620 14827025 23723240 25502483 29654050 47446480 51004966 59308100 59901181 102009932 118616200 119802362 127512415 204019864 237232400 239604724 255024830 299505905 408039728 479209448 510049660 599011810 637562075 958418896 1020099320 1198023620 1275124150 1497529525 2040198640 2396047240 2550248300 2575750783 2995059050 4792094480 5100496600 5151501566 5990118100 10200993200 10303003132 11980236200 12878753915 20606006264 23960472400 25757507830 41212012528 51515015660 64393769575 103030031320 128787539150 206060062640 257575078300 515150156600 1030300313200