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120020022001 = 11531373149939
BaseRepresentation
bin110111111000111000…
…0000011001011110001
3102110210101211211112001
41233301300003023301
53431300111201001
6131045245334001
711446131232405
oct1576160031361
9373711754461
10120020022001
114699a19aa30
121b316567301
13b4193a77c9
145b47c79105
1531c6b0d001
hex1bf1c032f1

120020022001 has 16 divisors (see below), whose sum is σ = 133499378880. Its totient is φ = 106971766720.

The previous prime is 120020021951. The next prime is 120020022019. The reversal of 120020022001 is 100220020021.

It is a cyclic number.

It is not a de Polignac number, because 120020022001 - 215 = 120019989233 is a prime.

It is a super-2 number, since 2×1200200220012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120020022091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725490 + ... + 875428.

It is an arithmetic number, because the mean of its divisors is an integer number (8343711180).

Almost surely, 2120020022001 is an apocalyptic number.

120020022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120020022001 is a deficient number, since it is larger than the sum of its proper divisors (13479356879).

120020022001 is a wasteful number, since it uses less digits than its factorization.

120020022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151376.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120020022001 its reverse (100220020021), we get a palindrome (220240042022).

The spelling of 120020022001 in words is "one hundred twenty billion, twenty million, twenty-two thousand, one".

Divisors: 1 11 53 583 1373 15103 72769 149939 800459 1649329 7946767 87414437 205866247 2264528717 10910911091 120020022001