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120010022001 = 3213334446889
BaseRepresentation
bin110111111000100100…
…1111001110001110001
3102110202201000210002200
41233301021321301301
53431240031201001
6131044251133413
711445650233032
oct1576111716161
9373681023080
10120010022001
114699458a871
121b313144269
13b4172b5c4c
145b467d4a89
1531c5cd5086
hex1bf1279c71

120010022001 has 6 divisors (see below), whose sum is σ = 173347809570. Its totient is φ = 80006681328.

The previous prime is 120010021991. The next prime is 120010022017. The reversal of 120010022001 is 100220010021.

It can be written as a sum of positive squares in only one way, i.e., 76308537600 + 43701484401 = 276240^2 + 209049^2 .

It is not a de Polignac number, because 120010022001 - 29 = 120010021489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13334446889 = 120010022001 / (1 + 2 + 0 + 0 + 1 + 0 + 0 + 2 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (120010022021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6667223436 + ... + 6667223453.

It is an arithmetic number, because the mean of its divisors is an integer number (28891301595).

Almost surely, 2120010022001 is an apocalyptic number.

It is an amenable number.

120010022001 is a deficient number, since it is larger than the sum of its proper divisors (53337787569).

120010022001 is a wasteful number, since it uses less digits than its factorization.

120010022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334446895 (or 13334446892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120010022001 its reverse (100220010021), we get a palindrome (220230032022).

The spelling of 120010022001 in words is "one hundred twenty billion, ten million, twenty-two thousand, one".

Divisors: 1 3 9 13334446889 40003340667 120010022001