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120320201320 = 235111273675867
BaseRepresentation
bin111000000001110100…
…1001001001001101000
3102111120022200112010121
41300003221021021220
53432403432420240
6131135131253024
711456434556644
oct1600351111150
9374508615117
10120320201320
1147033687110
121b39abaa174
13b4666390c7
145b75a97c24
1531e315504a
hex1c03a49268

120320201320 has 128 divisors (see below), whose sum is σ = 298518773760. Its totient is φ = 43282632960.

The previous prime is 120320201303. The next prime is 120320201329. The reversal of 120320201320 is 23102023021.

It is a junction number, because it is equal to n+sod(n) for n = 120320201294 and 120320201303.

It is not an unprimeable number, because it can be changed into a prime (120320201329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20505027 + ... + 20510893.

It is an arithmetic number, because the mean of its divisors is an integer number (2332177920).

Almost surely, 2120320201320 is an apocalyptic number.

120320201320 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 120320201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149259386880).

120320201320 is an abundant number, since it is smaller than the sum of its proper divisors (178198572440).

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

120320201320 is a wasteful number, since it uses less digits than its factorization.

120320201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120320201320 its reverse (23102023021), we get a palindrome (143422224341).

The spelling of 120320201320 in words is "one hundred twenty billion, three hundred twenty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 367 440 508 635 734 1016 1270 1397 1468 1835 2540 2794 2936 3670 4037 5080 5588 5867 6985 7340 8074 11176 11734 13970 14680 16148 20185 23468 27940 29335 32296 40370 46609 46936 55880 58670 64537 80740 93218 117340 129074 161480 186436 233045 234680 258148 322685 372872 466090 512699 516296 645370 745109 932180 1025398 1290740 1490218 1864360 2050796 2153189 2563495 2581480 2980436 3725545 4101592 4306378 5126990 5960872 7451090 8196199 8612756 10253980 10765945 14902180 16392398 17225512 20507960 21531890 23685079 29804360 32784796 40980995 43063780 47370158 65569592 81961990 86127560 94740316 118425395 163923980 189480632 236850790 273455003 327847960 473701580 546910006 947403160 1093820012 1367275015 2187640024 2734550030 3008005033 5469100060 6016010066 10938200120 12032020132 15040025165 24064040264 30080050330 60160100660 120320201320