Search a number
-
+
120323122320 = 24359712740697
BaseRepresentation
bin111000000001111010…
…0010010010010010000
3102111120112011220222210
41300003310102102100
53432410204403240
6131135314032120
711456501443662
oct1600364222220
9374515156883
10120323122320
11470352a1765
121b39bb78640
13b46711c7cb
145b76218532
1531e3530780
hex1c03d12490

120323122320 has 160 divisors (see below), whose sum is σ = 379823689728. Its totient is φ = 31504564224.

The previous prime is 120323122313. The next prime is 120323122349. The reversal of 120323122320 is 23221323021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2936212 + ... + 2976908.

Almost surely, 2120323122320 is an apocalyptic number.

120323122320 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 120323122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189911844864).

120323122320 is an abundant number, since it is smaller than the sum of its proper divisors (259500567408).

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

120323122320 is a wasteful number, since it uses less digits than its factorization.

120323122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40937 (or 40931 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120323122320 its reverse (23221323021), we get a palindrome (143544445341).

The spelling of 120323122320 in words is "one hundred twenty billion, three hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 127 194 240 254 291 381 388 485 508 582 635 762 776 970 1016 1164 1270 1455 1524 1552 1905 1940 2032 2328 2540 2910 3048 3810 3880 4656 5080 5820 6096 7620 7760 10160 11640 12319 15240 23280 24638 30480 36957 40697 49276 61595 73914 81394 98552 122091 123190 147828 162788 184785 197104 203485 244182 246380 295656 325576 369570 406970 488364 492760 591312 610455 651152 739140 813940 976728 985520 1220910 1478280 1627880 1953456 2441820 2956560 3255760 3947609 4883640 5168519 7895218 9767280 10337038 11842827 15505557 15790436 19738045 20674076 23685654 25842595 31011114 31580872 39476090 41348152 47371308 51685190 59214135 62022228 63161744 77527785 78952180 82696304 94742616 103370380 118428270 124044456 155055570 157904360 189485232 206740760 236856540 248088912 310111140 315808720 413481520 473713080 501346343 620222280 947426160 1002692686 1240444560 1504039029 2005385372 2506731715 3008078058 4010770744 5013463430 6016156116 7520195145 8021541488 10026926860 12032312232 15040390290 20053853720 24064624464 30080780580 40107707440 60161561160 120323122320