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120020001330 = 23518122103131
BaseRepresentation
bin110111111000110111…
…1111110001000110010
3102110210101210210011110
41233301233332020302
53431300110020310
6131045245054150
711446131115215
oct1576157761062
9373711723143
10120020001330
114699a186449
121b316557356
13b41939b288
145b47c7177c
1531c6b06d20
hex1bf1bfe232

120020001330 has 32 divisors (see below), whose sum is σ = 289639441728. Its totient is φ = 31828507200.

The previous prime is 120020001323. The next prime is 120020001337. The reversal of 120020001330 is 33100020021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120020001323) and next prime (120020001337).

It is not an unprimeable number, because it can be changed into a prime (120020001337) 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 15 ways as a sum of consecutive naturals, for example, 11046136 + ... + 11056995.

It is an arithmetic number, because the mean of its divisors is an integer number (9051232554).

Almost surely, 2120020001330 is an apocalyptic number.

120020001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120020001330 is an abundant number, since it is smaller than the sum of its proper divisors (169619440398).

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

120020001330 is a wasteful number, since it uses less digits than its factorization.

120020001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22103322.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 120020001330 its reverse (33100020021), we get a palindrome (153120021351).

The spelling of 120020001330 in words is "one hundred twenty billion, twenty million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 181 362 543 905 1086 1810 2715 5430 22103131 44206262 66309393 110515655 132618786 221031310 331546965 663093930 4000666711 8001333422 12002000133 20003333555 24004000266 40006667110 60010000665 120020001330