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120021002131131 = 355928372950799
BaseRepresentation
bin11011010010100010010001…
…001100101001011010111011
3120201221220011222222211200000
4123102202101030221122323
5111212411003021144011
61103132515345244043
734165142214306153
oct3322422114513273
9521856158884600
10120021002131131
1135273691842182
1211564a5a933623
1351c7c166097ba
14218d094499763
15dd204d374356
hex6d28913296bb

120021002131131 has 48 divisors (see below), whose sum is σ = 182896249536000. Its totient is φ = 78630079550688.

The previous prime is 120021002131111. The next prime is 120021002131141. The reversal of 120021002131131 is 131131200120021.

120021002131131 is a `hidden beast` number, since 1 + 200 + 2 + 100 + 21 + 311 + 31 = 666.

It is not a de Polignac number, because 120021002131131 - 25 = 120021002131099 is a prime.

It is a super-2 number, since 2×1200210021311312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120021002131111) 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 47 ways as a sum of consecutive naturals, for example, 39198670 + ... + 42149468.

It is an arithmetic number, because the mean of its divisors is an integer number (3810338532000).

Almost surely, 2120021002131131 is an apocalyptic number.

120021002131131 is a deficient number, since it is larger than the sum of its proper divisors (62875247404869).

120021002131131 is an equidigital number, since it uses as much as digits as its factorization.

120021002131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953710 (or 2953698 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120021002131131 its reverse (131131200120021), we get a palindrome (251152202251152).

The spelling of 120021002131131 in words is "one hundred twenty trillion, twenty-one billion, two million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 59 81 177 243 531 1593 2837 4779 8511 14337 25533 76599 167383 229797 502149 689391 1506447 2950799 4519341 8852397 13558023 26557191 40674069 79671573 174097141 239014719 522291423 717044157 1566874269 4700622807 8371416763 14101868421 25114250289 42305605263 75342750867 226028252601 493913589017 678084757803 1481740767051 2034254273409 4445222301153 13335666903459 40007000710377 120021002131131