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421721100 = 223352236791
BaseRepresentation
bin11001001000101…
…111010000001100
31002101112122121000
4121020233100030
51330430033400
6105502540300
713310366403
oct3110572014
91071478530
10421721100
111a7061339
12b9297690
13694a8218
144001a63a
1527054600
hex1922f40c

421721100 has 144 divisors (see below), whose sum is σ = 1414909440. Its totient is φ = 107553600.

The previous prime is 421721089. The next prime is 421721171. The reversal of 421721100 is 1127124.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 58705 + ... + 65495.

It is an arithmetic number, because the mean of its divisors is an integer number (9825760).

Almost surely, 2421721100 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 421721100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707454720).

421721100 is an abundant number, since it is smaller than the sum of its proper divisors (993188340).

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

421721100 is a wasteful number, since it uses less digits than its factorization.

421721100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 421721100 is about 20535.8491424143. The cubic root of 421721100 is about 749.9087889078.

Adding to 421721100 its reverse (1127124), we get a palindrome (422848224).

It can be divided in two parts, 421721 and 100, that added together give a triangular number (421821 = T918).

The spelling of 421721100 in words is "four hundred twenty-one million, seven hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 180 207 225 230 270 276 300 345 414 450 460 540 575 621 675 690 828 900 1035 1150 1242 1350 1380 1725 2070 2300 2484 2700 3105 3450 4140 5175 6210 6791 6900 10350 12420 13582 15525 20373 20700 27164 31050 33955 40746 61119 62100 67910 81492 101865 122238 135820 156193 169775 183357 203730 244476 305595 312386 339550 366714 407460 468579 509325 611190 624772 679100 733428 780965 916785 937158 1018650 1222380 1405737 1527975 1561930 1833570 1874316 2037300 2342895 2811474 3055950 3123860 3667140 3904825 4217211 4583925 4685790 5622948 6111900 7028685 7809650 8434422 9167850 9371580 11714475 14057370 15619300 16868844 18335700 21086055 23428950 28114740 35143425 42172110 46857900 70286850 84344220 105430275 140573700 210860550 421721100