Search a number
-
+
120320210100 = 223523116777471
BaseRepresentation
bin111000000001110100…
…1001011010010110100
3102111120022200222011210
41300003221023102310
53432403433210400
6131135131401420
711456434624356
oct1600351132264
9374508628153
10120320210100
1147033692772
121b39abb3270
13b4666400bc
145b75a9b0d6
1531e3157950
hex1c03a4b4b4

120320210100 has 144 divisors (see below), whose sum is σ = 361512861696. Its totient is φ = 30864048000.

The previous prime is 120320210071. The next prime is 120320210107. The reversal of 120320210100 is 1012023021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120320210107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1514365 + ... + 1591835.

It is an arithmetic number, because the mean of its divisors is an integer number (2510505984).

Almost surely, 2120320210100 is an apocalyptic number.

120320210100 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 120320210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180756430848).

120320210100 is an abundant number, since it is smaller than the sum of its proper divisors (241192651596).

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

120320210100 is a wasteful number, since it uses less digits than its factorization.

120320210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77686 (or 77679 counting only the distinct ones).

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

Adding to 120320210100 its reverse (1012023021), we get a palindrome (121332233121).

The spelling of 120320210100 in words is "one hundred twenty billion, three hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 167 186 300 310 334 372 465 501 620 668 775 835 930 1002 1550 1670 1860 2004 2325 2505 3100 3340 4175 4650 5010 5177 8350 9300 10020 10354 12525 15531 16700 20708 25050 25885 31062 50100 51770 62124 77471 77655 103540 129425 154942 155310 232413 258850 309884 310620 387355 388275 464826 517700 774710 776550 929652 1162065 1549420 1553100 1936775 2324130 2401601 3873550 4648260 4803202 5810325 7204803 7747100 9606404 11620650 12008005 12937657 14409606 23241300 24016010 25875314 28819212 36024015 38812971 48032020 51750628 60040025 64688285 72048030 77625942 120080050 129376570 144096060 155251884 180120075 194064855 240160100 258753140 323441425 360240150 388129710 401067367 646882850 720480300 776259420 802134734 970324275 1203202101 1293765700 1604269468 1940648550 2005336835 2406404202 3881297100 4010673670 4812808404 6016010505 8021347340 10026684175 12032021010 20053368350 24064042020 30080052525 40106736700 60160105050 120320210100