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120021331001 = 111339710132087
BaseRepresentation
bin110111111000111010…
…1000010110000111001
3102110210111022100010112
41233301311002300321
53431300430043001
6131045333354105
711446145323625
oct1576165026071
9373714270115
10120021331001
114699aa04450
121b316a98935
13b419745570
145b480da185
1531c6cbacbb
hex1bf1d42c39

120021331001 has 32 divisors (see below), whose sum is σ = 141566600448. Its totient is φ = 100316240640.

The previous prime is 120021330971. The next prime is 120021331019. The reversal of 120021331001 is 100133120021.

It is not a de Polignac number, because 120021331001 - 210 = 120021329977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120021331051) 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, 57507980 + ... + 57510066.

It is an arithmetic number, because the mean of its divisors is an integer number (4423956264).

Almost surely, 2120021331001 is an apocalyptic number.

120021331001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120021331001 is a deficient number, since it is larger than the sum of its proper divisors (21545269447).

120021331001 is a wasteful number, since it uses less digits than its factorization.

120021331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120021331001 its reverse (100133120021), we get a palindrome (220154451022).

The spelling of 120021331001 in words is "one hundred twenty billion, twenty-one million, three hundred thirty-one thousand, one".

Divisors: 1 11 13 143 397 1013 2087 4367 5161 11143 13169 22957 27131 56771 144859 298441 402161 828539 2114131 4423771 5228093 9113929 10771007 23255441 27483703 57509023 118481077 302320733 839310007 9232410077 10911030091 120021331001