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220013031329 = 71331673133719
BaseRepresentation
bin1100110011100111001…
…1000110111110100001
3210000220002100000100222
43030321303012332201
512101041314000304
6245023402452425
721616061624060
oct3147163067641
9700802300328
10220013031329
1185341690913
1236781b04115
131799360a350
14a911dda1d7
155aca4164be
hex3339cc6fa1

220013031329 has 64 divisors (see below), whose sum is σ = 284675112960. Its totient is φ = 165371880960.

The previous prime is 220013031299. The next prime is 220013031341. The reversal of 220013031329 is 923130310022.

It is a de Polignac number, because none of the positive numbers 2k-220013031329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220013031298 and 220013031307.

It is not an unprimeable number, because it can be changed into a prime (220013031929) 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, 59157332 + ... + 59161050.

It is an arithmetic number, because the mean of its divisors is an integer number (4448048640).

Almost surely, 2220013031329 is an apocalyptic number.

It is an amenable number.

220013031329 is a deficient number, since it is larger than the sum of its proper divisors (64662081631).

220013031329 is a wasteful number, since it uses less digits than its factorization.

220013031329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 220013031329 in words is "two hundred twenty billion, thirteen million, thirty-one thousand, three hundred twenty-nine".

Divisors: 1 7 13 31 67 91 217 313 403 469 871 2077 2191 2821 3719 4069 6097 9703 14539 20971 26033 27001 28483 48347 67921 115289 126139 146797 189007 249173 272623 338429 650101 807023 882973 1164047 1498757 1744211 1908361 3239249 4550707 7724363 8148329 8451313 10491299 15132611 22674743 36085457 54070541 59159191 77991149 100416719 105928277 252598199 469110941 545938043 702917033 1013884937 2417725619 3283776587 7097194559 16924079333 31430433047 220013031329