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120010404010021 = 71929108728624619
BaseRepresentation
bin11011010010011000011001…
…100000000001100000100101
3120201220212211101202111121221
4123102120121200001200211
5111212222301411310041
61103124003554540341
734164315454621660
oct3322303140014045
9521825741674557
10120010404010021
113526a1434429a8
12115629a15976b1
1351c6c17a30a15
14218c76ab1c6d7
15dd1b2cc1a2d1
hex6d2619801825

120010404010021 has 32 divisors (see below), whose sum is σ = 149489215488000. Its totient is φ = 94005077487552.

The previous prime is 120010404010001. The next prime is 120010404010031.

It is a happy number.

120010404010021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120010404010021 - 25 = 120010404009989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120010404009977 and 120010404010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010404010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10119751 + ... + 18504868.

It is an arithmetic number, because the mean of its divisors is an integer number (4671537984000).

Almost surely, 2120010404010021 is an apocalyptic number.

It is an amenable number.

120010404010021 is a deficient number, since it is larger than the sum of its proper divisors (29478811477979).

120010404010021 is a wasteful number, since it uses less digits than its factorization.

120010404010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28625761.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 12001040 and 4010021, that added together give a palindrome (16011061).

The spelling of 120010404010021 in words is "one hundred twenty trillion, ten billion, four hundred four million, ten thousand, twenty-one".

Divisors: 1 7 19 29 133 203 551 1087 3857 7609 20653 31523 144571 220661 598937 4192559 28624619 200372333 543867761 830113951 3807074327 5810797657 15772165069 31114960853 110405155483 217804725971 591184256207 902333864737 4138289793449 6316337053159 17144343430003 120010404010021