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10414200300 = 2235273101207
BaseRepresentation
bin10011011001011110…
…00001010111101100
3222212210011012010020
421230233001113230
5132312013402200
64441220242140
7516034146000
oct115457012754
928783135106
1010414200300
1144645a9909
122027840350
13c9c7613ca
1470b182700
1540e428ea0
hex26cbc15ec

10414200300 has 144 divisors (see below), whose sum is σ = 35139417600. Its totient is φ = 2380365120.

The previous prime is 10414200281. The next prime is 10414200311. The reversal of 10414200300 is 300241401.

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 10414200300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52297 + ... + 153503.

Almost surely, 210414200300 is an apocalyptic number.

10414200300 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 10414200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569708800).

10414200300 is an abundant number, since it is smaller than the sum of its proper divisors (24725217300).

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

10414200300 is a wasteful number, since it uses less digits than its factorization.

10414200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101245 (or 101224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10414200300 its reverse (300241401), we get a palindrome (10714441701).

The spelling of 10414200300 in words is "ten billion, four hundred fourteen million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1715 2058 2100 2450 2940 3430 3675 4116 4900 5145 6860 7350 8575 10290 14700 17150 20580 25725 34300 51450 101207 102900 202414 303621 404828 506035 607242 708449 1012070 1214484 1416898 1518105 2024140 2125347 2530175 2833796 3036210 3542245 4250694 4959143 5060350 6072420 7084490 7590525 8501388 9918286 10120700 10626735 14168980 14877429 15181050 17711225 19836572 21253470 24795715 29754858 30362100 34714001 35422450 42506940 49591430 53133675 59509716 69428002 70844900 74387145 99182860 104142003 106267350 123978575 138856004 148774290 173570005 208284006 212534700 247957150 297548580 347140010 371935725 416568012 495914300 520710015 694280020 743871450 867850025 1041420030 1487742900 1735700050 2082840060 2603550075 3471400100 5207100150 10414200300