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120110021001 = 32172353130817
BaseRepresentation
bin110111111011100011…
…1010111100110001001
3102111000200012020221100
41233313013113212021
53431441131133001
6131102222332013
711451303222225
oct1576707274611
9374020166840
10120110021001
1146a35a80573
121b34072a009
13b431c29159
145b55bc5785
1531ce989586
hex1bf71d7989

120110021001 has 36 divisors (see below), whose sum is σ = 184821501852. Its totient is φ = 75149082624.

The previous prime is 120110020993. The next prime is 120110021023. The reversal of 120110021001 is 100120011021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29554767225 + 90555253776 = 171915^2 + 300924^2 .

It is not a de Polignac number, because 120110021001 - 23 = 120110020993 is a prime.

It is a super-2 number, since 2×1201100210012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120110021041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 852745 + ... + 983561.

It is an arithmetic number, because the mean of its divisors is an integer number (5133930607).

Almost surely, 2120110021001 is an apocalyptic number.

It is an amenable number.

120110021001 is a deficient number, since it is larger than the sum of its proper divisors (64711480851).

120110021001 is a wasteful number, since it uses less digits than its factorization.

120110021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131210 (or 131190 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120110021001 its reverse (100120011021), we get a palindrome (220230032022).

The spelling of 120110021001 in words is "one hundred twenty billion, one hundred ten million, twenty-one thousand, one".

Divisors: 1 3 9 17 51 153 289 353 867 1059 2601 3177 6001 18003 54009 102017 130817 306051 392451 918153 1177353 2223889 6671667 20015001 37806113 46178401 113418339 138535203 340255017 415605609 785032817 2355098451 7065295353 13345557889 40036673667 120110021001