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220220001001 = 71113222774551
BaseRepresentation
bin1100110100011000100…
…0101000101011101001
3210001102111210011101101
43031012020220223221
512102002310013001
6245100114521401
721624154060150
oct3150610505351
9701374704341
10220220001001
11854384a4230
123681b296261
13179c7464b00
14a9316b4597
155add69aa01
hex3346228ae9

220220001001 has 48 divisors (see below), whose sum is σ = 298618334208. Its totient is φ = 157700088000.

The previous prime is 220220000989. The next prime is 220220001083. The reversal of 220220001001 is 100100022022.

It is not a de Polignac number, because 220220001001 - 211 = 220219998953 is a prime.

It is a super-5 number, since 5×2202200010015 (a number of 58 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220220001091) 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 47 ways as a sum of consecutive naturals, for example, 2916676 + ... + 2991226.

It is an arithmetic number, because the mean of its divisors is an integer number (6221215296).

Almost surely, 2220220001001 is an apocalyptic number.

It is an amenable number.

220220001001 is a deficient number, since it is larger than the sum of its proper divisors (78398333207).

220220001001 is a wasteful number, since it uses less digits than its factorization.

220220001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74822 (or 74809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220220001001 its reverse (100100022022), we get a palindrome (320320023023).

The spelling of 220220001001 in words is "two hundred twenty billion, two hundred twenty million, one thousand, one".

Divisors: 1 7 11 13 77 91 143 169 227 1001 1183 1589 1859 2497 2951 13013 17479 20657 32461 38363 74551 227227 268541 421993 521857 820061 969163 2953951 5740427 6784141 10660793 12599119 16923077 74625551 88193833 118461539 138590309 186153847 220000001 970132163 1303076929 1540000007 2420000011 2860000013 16940000077 20020000091 31460000143 220220001001