Search a number
-
+
120030111300 = 223521173498257
BaseRepresentation
bin110111111001001011…
…0100010011001000100
3102110211002211102102210
41233302112202121010
53431310202030200
6131050245503420
711446313053311
oct1576226423104
9373732742383
10120030111300
11469a49611a0
121b319a11b70
13b41b4cabc8
145b49343d08
1531c7952650
hex1bf25a2644

120030111300 has 144 divisors (see below), whose sum is σ = 384049294272. Its totient is φ = 28699545600.

The previous prime is 120030111283. The next prime is 120030111307. The reversal of 120030111300 is 3111030021.

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

It is not an unprimeable number, because it can be changed into a prime (120030111307) 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, 8229 + ... + 490028.

It is an arithmetic number, because the mean of its divisors is an integer number (2667008988).

Almost surely, 2120030111300 is an apocalyptic number.

120030111300 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 120030111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024647136).

120030111300 is an abundant number, since it is smaller than the sum of its proper divisors (264019182972).

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

120030111300 is a wasteful number, since it uses less digits than its factorization.

120030111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498358 (or 498351 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 120030111300 its reverse (3111030021), we get a palindrome (123141141321).

The spelling of 120030111300 in words is "one hundred twenty billion, thirty million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 73 75 100 110 132 146 150 165 219 220 275 292 300 330 365 438 550 660 730 803 825 876 1095 1100 1460 1606 1650 1825 2190 2409 3212 3300 3650 4015 4380 4818 5475 7300 8030 9636 10950 12045 16060 20075 21900 24090 40150 48180 60225 80300 120450 240900 498257 996514 1494771 1993028 2491285 2989542 4982570 5480827 5979084 7473855 9965140 10961654 12456425 14947710 16442481 21923308 24912850 27404135 29895420 32884962 36372761 37369275 49825700 54808270 65769924 72745522 74738550 82212405 109118283 109616540 137020675 145491044 149477100 164424810 181863805 218236566 274041350 328849620 363727610 400100371 411062025 436473132 545591415 548082700 727455220 800200742 822124050 909319025 1091182830 1200301113 1600401484 1644248100 1818638050 2000501855 2182365660 2400602226 2727957075 3637276100 4001003710 4801204452 5455914150 6001505565 8002007420 10002509275 10911828300 12003011130 20005018550 24006022260 30007527825 40010037100 60015055650 120030111300