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11022302120031 = 34178803909301
BaseRepresentation
bin1010000001100101010001…
…1001110000100001011111
31110000201111012000202120000
42200121110121300201133
52421042133320320111
635235324203225343
72215222631111406
oct240312431604137
943021435022500
1011022302120031
11356a594217874
1212a0242818253
1361c524a36a97
142a16a74bc63d
15141aae5b4c56
hexa065467085f

11022302120031 has 40 divisors (see below), whose sum is σ = 17435967691824. Its totient is φ = 6915161030400.

The previous prime is 11022302120029. The next prime is 11022302120083. The reversal of 11022302120031 is 13002120322011.

11022302120031 is a `hidden beast` number, since 110 + 22 + 302 + 1 + 200 + 31 = 666.

It is not a de Polignac number, because 11022302120031 - 21 = 11022302120029 is a prime.

It is a super-2 number, since 2×110223021200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022302119986 and 11022302120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022302122031) 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 39 ways as a sum of consecutive naturals, for example, 11667081 + ... + 12576381.

Almost surely, 211022302120031 is an apocalyptic number.

11022302120031 is a deficient number, since it is larger than the sum of its proper divisors (6413665571793).

11022302120031 is an equidigital number, since it uses as much as digits as its factorization.

11022302120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918133 (or 918124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11022302120031 its reverse (13002120322011), we get a palindrome (24024422442042).

The spelling of 11022302120031 in words is "eleven trillion, twenty-two billion, three hundred two million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 8803 26409 79227 149651 237681 448953 713043 909301 1346859 2727903 4040577 8183709 12121731 15458117 24551127 46374351 73653381 139123053 417369159 1252107477 8004576703 24013730109 72041190327 136077803951 216123570981 408233411853 648370712943 1224700235559 3674100706677 11022302120031