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120001010222219 = 7233124118916979
BaseRepresentation
bin11011010010001111101001…
…100101100100010010001011
3120201212222120201200122022012
4123102033221211210102023
5111212044032104102334
61103115411505250135
734163533621011350
oct3322175145442213
9521788521618265
10120001010222219
113526616293a105
1211560bbb63394b
1351c607b8058b9
14218c1192bc627
15dd177d1a59ce
hex6d23e996448b

120001010222219 has 48 divisors (see below), whose sum is σ = 151478701032960. Its totient is φ = 92889928771200.

The previous prime is 120001010222213. The next prime is 120001010222297. The reversal of 120001010222219 is 912222010100021.

It is not a de Polignac number, because 120001010222219 - 228 = 120000741786763 is a prime.

It is a super-2 number, since 2×1200010102222192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 120001010222194 and 120001010222203.

It is not an unprimeable number, because it can be changed into a prime (120001010222213) 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, 3114929 + ... + 15802050.

It is an arithmetic number, because the mean of its divisors is an integer number (3155806271520).

Almost surely, 2120001010222219 is an apocalyptic number.

120001010222219 is a deficient number, since it is larger than the sum of its proper divisors (31477690810741).

120001010222219 is a wasteful number, since it uses less digits than its factorization.

120001010222219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917112 (or 18917081 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 120001010222219 in words is "one hundred twenty trillion, one billion, ten million, two hundred twenty-two thousand, two hundred nineteen".

Divisors: 1 7 23 31 41 161 217 287 713 943 961 1271 4991 6601 6727 8897 22103 29233 39401 154721 204631 275807 906223 6343561 18916979 132418853 435090517 586426349 775596139 3045633619 4104984443 5429172973 13487806027 17838711197 18179216819 24043480309 94414642189 124870978379 127254517733 168304362163 418121986837 553000047107 745347889579 2926853907859 3871000329749 5217435227053 17143001460317 120001010222219