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120424311402213 = 37133171200415581
BaseRepresentation
bin11011011000011001111000…
…010011011010111011100101
3120210101110012022112121011110
4123120121320103122323211
5111241012442204332323
61104042055342455233
734236240461454630
oct3330317023327345
9523343168477143
10120424311402213
1135409733370955
121160b056294519
135226c6b724cc0
1421a47d3d6cc17
15ddc7a5552793
hex6d86784daee5

120424311402213 has 64 divisors (see below), whose sum is σ = 206867360415744. Its totient is φ = 60605671392000.

The previous prime is 120424311402097. The next prime is 120424311402257. The reversal of 120424311402213 is 312204113424021.

It is a happy number.

It is not a de Polignac number, because 120424311402213 - 29 = 120424311401701 is a prime.

It is a super-2 number, since 2×1204243114022132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120424311402293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99606918 + ... + 100808663.

It is an arithmetic number, because the mean of its divisors is an integer number (3232302506496).

Almost surely, 2120424311402213 is an apocalyptic number.

120424311402213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120424311402213 is a deficient number, since it is larger than the sum of its proper divisors (86443049013531).

120424311402213 is a wasteful number, since it uses less digits than its factorization.

120424311402213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200415706.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 120424311402213 its reverse (312204113424021), we get a palindrome (432628424826234).

The spelling of 120424311402213 in words is "one hundred twenty trillion, four hundred twenty-four billion, three hundred eleven million, four hundred two thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 31 39 71 91 93 213 217 273 403 497 651 923 1209 1491 2201 2769 2821 6461 6603 8463 15407 19383 28613 46221 85839 200291 600873 200415581 601246743 1402909067 2605402553 4208727201 6212883011 7816207659 14229506251 18237817871 18638649033 42688518753 43490181077 54713453613 80767479143 99606543757 130470543231 184983581263 242302437429 298819631271 441114693781 554950743789 565372354001 1294885068841 1323344081343 1696117062003 3087802856467 3884655206523 5734491019153 9263408569401 17203473057459 40141437134071 120424311402213