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11332101313221 = 31329293105132537
BaseRepresentation
bin1010010011100111010111…
…0111111001001011000101
31111010100010121212101021020
42210321311313321023011
52441131120414010341
640033521231141353
72246501014601313
oct244716567711305
944110117771236
1011332101313221
113679a0a844a37
1213302a1974859
136427c6a75550
142b2695c310b3
15149b921b8566
hexa4e75df92c5

11332101313221 has 64 divisors (see below), whose sum is σ = 16906869745920. Its totient is φ = 6703561267200.

The previous prime is 11332101313219. The next prime is 11332101313223. The reversal of 11332101313221 is 12231310123311.

It is an interprime number because it is at equal distance from previous prime (11332101313219) and next prime (11332101313223).

It is not a de Polignac number, because 11332101313221 - 21 = 11332101313219 is a prime.

It is a super-2 number, since 2×113321013132212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11332101313191 and 11332101313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332101313223) 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, 348267265 + ... + 348299801.

It is an arithmetic number, because the mean of its divisors is an integer number (264169839780).

Almost surely, 211332101313221 is an apocalyptic number.

It is an amenable number.

11332101313221 is a deficient number, since it is larger than the sum of its proper divisors (5574768432699).

11332101313221 is a wasteful number, since it uses less digits than its factorization.

11332101313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33926.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11332101313221 its reverse (12231310123311), we get a palindrome (23563411436532).

The spelling of 11332101313221 in words is "eleven trillion, three hundred thirty-two billion, one hundred one million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 13 29 39 87 293 377 879 1051 1131 3153 3809 8497 11427 13663 25491 30479 32537 40989 91437 97611 110461 307943 331383 396227 422981 923829 943573 1188681 1268943 2830719 4003259 8930347 9533341 12009777 12266449 26791041 28600023 34196387 36799347 102589161 116094511 123933433 276466889 348283533 371800299 444553031 829400667 991695223 1333659093 2975085669 3594069557 10019541391 10782208671 12892037899 30058624173 38676113697 130254038083 290566700339 390762114249 871700101017 3777367104407 11332101313221