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110220001200001 = 71117739911163923
BaseRepresentation
bin11001000011111010011000…
…000001001100011110000001
3112110020221002101121200221201
4121003322120001030132001
5103421321030301400001
61030230211453021201
732134063244046160
oct3103723001143601
9473227071550851
10110220001200001
113213504927aa50
121044145b484801
1349669172c8504
141d3096853b3d7
15cb211da8d501
hex643e9804c781

110220001200001 has 64 divisors (see below), whose sum is σ = 147642623410176. Its totient is φ = 79645785753600.

The previous prime is 110220001199977. The next prime is 110220001200091. The reversal of 110220001200001 is 100002100022011.

It is not a de Polignac number, because 110220001200001 - 211 = 110220001197953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110220001200091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94115026 + ... + 95278948.

It is an arithmetic number, because the mean of its divisors is an integer number (2306915990784).

Almost surely, 2110220001200001 is an apocalyptic number.

110220001200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110220001200001 is a deficient number, since it is larger than the sum of its proper divisors (37422622210175).

110220001200001 is a wasteful number, since it uses less digits than its factorization.

110220001200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165022.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110220001200001 its reverse (100002100022011), we get a palindrome (210222101222012).

The spelling of 110220001200001 in words is "one hundred ten trillion, two hundred twenty billion, one million, two hundred thousand, one".

Divisors: 1 7 11 17 73 77 119 187 511 803 991 1241 1309 5621 6937 8687 10901 13651 16847 72343 76307 95557 117929 185317 506401 795773 1163923 1229831 1297219 5570411 8147461 8608817 12803153 13528141 19786691 84966379 89622071 94696987 138506837 217653601 594764653 934630169 1153447693 1444428443 1523575207 6542411183 8074133851 10110999101 12687924623 15888712873 19608610781 84201681589 88815472361 111220990111 137260275467 215694718591 589411771123 926218497479 1431428587013 1509863030137 6483529482353 10020000109091 15745714457143 110220001200001