Search a number
-
+
210121002300 = 223521197656423
BaseRepresentation
bin1100001110110000110…
…0000000110100111100
3202002100200201212120110
43003230030000310330
511420311434033200
6240310034150020
721115665023226
oct3035414006474
9662320655513
10210121002300
1181125912010
1234881122310
1316a780c4831
14a254341416
1556ebc84b50
hex30ec300d3c

210121002300 has 144 divisors (see below), whose sum is σ = 670056613632. Its totient is φ = 50413209600.

The previous prime is 210121002277. The next prime is 210121002313. The reversal of 210121002300 is 3200121012.

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 47 ways as a sum of consecutive naturals, for example, 8112 + ... + 648311.

It is an arithmetic number, because the mean of its divisors is an integer number (4653170928).

Almost surely, 2210121002300 is an apocalyptic number.

210121002300 is a gapful number since it is divisible by the number (20) 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 210121002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335028306816).

210121002300 is an abundant number, since it is smaller than the sum of its proper divisors (459935611332).

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

210121002300 is a wasteful number, since it uses less digits than its factorization.

210121002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656548 (or 656541 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210121002300 its reverse (3200121012), we get a palindrome (213321123312).

The spelling of 210121002300 in words is "two hundred ten billion, one hundred twenty-one million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 97 100 110 132 150 165 194 220 275 291 300 330 388 485 550 582 660 825 970 1067 1100 1164 1455 1650 1940 2134 2425 2910 3201 3300 4268 4850 5335 5820 6402 7275 9700 10670 12804 14550 16005 21340 26675 29100 32010 53350 64020 80025 106700 160050 320100 656423 1312846 1969269 2625692 3282115 3938538 6564230 7220653 7877076 9846345 13128460 14441306 16410575 19692690 21661959 28882612 32821150 36103265 39385380 43323918 49231725 63673031 65642300 72206530 86647836 98463450 108309795 127346062 144413060 180516325 191019093 196926900 216619590 254692124 318365155 361032650 382038186 433239180 541548975 636730310 700403341 722065300 764076372 955095465 1083097950 1273460620 1400806682 1591825775 1910190930 2101210023 2166195900 2801613364 3183651550 3502016705 3820381860 4202420046 4775477325 6367303100 7004033410 8404840092 9550954650 10506050115 14008066820 17510083525 19101909300 21012100230 35020167050 42024200460 52530250575 70040334100 105060501150 210121002300