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11202112111201 = 1110175777317231
BaseRepresentation
bin1010001100000011000111…
…1010011100001001100001
31110122220121110020201200121
42203000301322130021201
52432013411200024301
635454102415320241
72234216531606044
oct243006172341141
943586543221617
1011202112111201
113629875280560
12130b064820081
1363347c1b186b
142aa283d76c5b
151465d52893a1
hexa3031e9c261

11202112111201 has 32 divisors (see below), whose sum is σ = 12374488889856. Its totient is φ = 10055979360000.

The previous prime is 11202112111121. The next prime is 11202112111241. The reversal of 11202112111201 is 10211121120211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11202112111201 is a prime.

It is a super-2 number, since 2×112021121112012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11202112111241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650105256 + ... + 650122486.

It is an arithmetic number, because the mean of its divisors is an integer number (386702777808).

Almost surely, 211202112111201 is an apocalyptic number.

11202112111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11202112111201 is a deficient number, since it is larger than the sum of its proper divisors (1172376778655).

11202112111201 is a wasteful number, since it uses less digits than its factorization.

11202112111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18873.

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

Adding to 11202112111201 its reverse (10211121120211), we get a palindrome (21413233231412).

The spelling of 11202112111201 in words is "eleven trillion, two hundred two billion, one hundred twelve million, one hundred eleven thousand, two hundred one".

Divisors: 1 11 101 757 773 1111 8327 8503 17231 76457 78073 189541 585161 841027 858803 1740331 6436771 13043867 13319563 19143641 59101261 143482537 146515193 650113871 1317430567 1345275863 10082909191 14491736237 14798034493 110912001101 1018373828291 11202112111201