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421300100 = 225213297257
BaseRepresentation
bin11001000111001…
…000011110000100
31002100202021002102
4121013020132010
51330323100400
6105445531232
713303664114
oct3107103604
91070667072
10421300100
111a68a4001
12b9113b18
136938b700
143dd4b044
1526ebe9d5
hex191c8784

421300100 has 108 divisors (see below), whose sum is σ = 1004052924. Its totient is φ = 153354240.

The previous prime is 421300097. The next prime is 421300109. The reversal of 421300100 is 1003124.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 303317056 + 117983044 = 17416^2 + 10862^2 .

It is not an unprimeable number, because it can be changed into a prime (421300109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1639172 + ... + 1639428.

Almost surely, 2421300100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502026462).

421300100 is an abundant number, since it is smaller than the sum of its proper divisors (582752824).

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

421300100 is a wasteful number, since it uses less digits than its factorization.

421300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 421300100 is about 20525.5962154574. The cubic root of 421300100 is about 749.6591636494.

Adding to 421300100 its reverse (1003124), we get a palindrome (422303224).

The spelling of 421300100 in words is "four hundred twenty-one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 169 194 257 260 325 338 388 485 514 650 676 845 970 1028 1261 1285 1300 1690 1940 2425 2522 2570 3341 3380 4225 4850 5044 5140 6305 6425 6682 8450 9700 12610 12850 13364 16393 16705 16900 24929 25220 25700 31525 32786 33410 43433 49858 63050 65572 66820 81965 83525 86866 99716 124645 126100 163930 167050 173732 217165 249290 324077 327860 334100 409825 434330 498580 623225 648154 819650 868660 1085825 1246450 1296308 1620385 1639300 2171650 2492900 3240770 4213001 4343300 6481540 8101925 8426002 16203850 16852004 21065005 32407700 42130010 84260020 105325025 210650050 421300100