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120331301020 = 225710159914207
BaseRepresentation
bin111000000010001001…
…1011111000010011100
3102111121002120110001121
41300010103133002130
53432414303113040
6131140205220324
711456631116410
oct1600423370234
9374532513047
10120331301020
1147039978517
121b3a28616a4
13b468a24388
145b77346d40
1531e40e8c4a
hex1c044df09c

120331301020 has 96 divisors (see below), whose sum is σ = 292161945600. Its totient is φ = 40776902400.

The previous prime is 120331300997. The next prime is 120331301023. The reversal of 120331301020 is 20103133021.

It is a junction number, because it is equal to n+sod(n) for n = 120331300985 and 120331301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120331301023) 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, 8462757 + ... + 8476963.

It is an arithmetic number, because the mean of its divisors is an integer number (3043353600).

Almost surely, 2120331301020 is an apocalyptic number.

120331301020 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 120331301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146080972800).

120331301020 is an abundant number, since it is smaller than the sum of its proper divisors (171830644580).

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

120331301020 is a wasteful number, since it uses less digits than its factorization.

120331301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14923 (or 14921 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120331301020 its reverse (20103133021), we get a palindrome (140434434041).

The spelling of 120331301020 in words is "one hundred twenty billion, three hundred thirty-one million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 599 707 1010 1198 1414 2020 2396 2828 2995 3535 4193 5990 7070 8386 11980 14140 14207 16772 20965 28414 41930 56828 60499 71035 83860 99449 120998 142070 198898 241996 284140 302495 397796 423493 497245 604990 846986 994490 1209980 1434907 1693972 1988980 2117465 2869814 4234930 5739628 7174535 8469860 8509993 10044349 14349070 17019986 20088698 28698140 34039972 40177396 42549965 50221745 59569951 85099930 100443490 119139902 170199860 200886980 238279804 297849755 595699510 859509293 1191399020 1719018586 3438037172 4297546465 6016565051 8595092930 12033130102 17190185860 24066260204 30082825255 60165650510 120331301020