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120022211133131 = 3111431013387001
BaseRepresentation
bin11011010010100011011001…
…010000100111111011001011
3120201222000022020221111121212
4123102203121100213323023
5111212420442022230011
61103133235334323335
734165214164536266
oct3322433120477313
9521860266844555
10120022211133131
113527415223728a
12115651377b954b
1351c8079c334b8
14218d16ac8dcdd
15dd20be58c08b
hex6d28d9427ecb

120022211133131 has 8 divisors (see below), whose sum is σ = 123894040326528. Its totient is φ = 116150391000000.

The previous prime is 120022211133119. The next prime is 120022211133163. The reversal of 120022211133131 is 131331112220021.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120022211133131 is a prime.

It is a super-2 number, since 2×1200222111331312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120022211133097 and 120022211133106.

It is not an unprimeable number, because it can be changed into a prime (120022211123131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33742631 + ... + 37129631.

It is an arithmetic number, because the mean of its divisors is an integer number (15486755040816).

Almost surely, 2120022211133131 is an apocalyptic number.

120022211133131 is a deficient number, since it is larger than the sum of its proper divisors (3871829193397).

120022211133131 is a wasteful number, since it uses less digits than its factorization.

120022211133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530133.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 120022211133131 its reverse (131331112220021), we get a palindrome (251353323353152).

The spelling of 120022211133131 in words is "one hundred twenty trillion, twenty-two billion, two hundred eleven million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 31 1143101 3387001 35436131 104997031 3871684230101 120022211133131