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11331111201132 = 22311359320396911
BaseRepresentation
bin1010010011100011101011…
…0110111010100101101100
31111010020120121210110211010
42210320322312322211230
52441122103431414012
640033235101425220
72246434333022202
oct244707266724554
944106517713733
1011331111201132
113679551965088
12133006626b210
136426998babc8
142b2600539072
15149b352dbc3c
hexa4e3adba96c

11331111201132 has 96 divisors (see below), whose sum is σ = 26735186903040. Its totient is φ = 3734925537280.

The previous prime is 11331111200993. The next prime is 11331111201143. The reversal of 11331111201132 is 23110211113311.

It is a junction number, because it is equal to n+sod(n) for n = 11331111201099 and 11331111201108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639572757 + ... + 1639579667.

It is an arithmetic number, because the mean of its divisors is an integer number (278491530240).

Almost surely, 211331111201132 is an apocalyptic number.

11331111201132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331111201132 is an abundant number, since it is smaller than the sum of its proper divisors (15404075701908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331111201132 is a wasteful number, since it uses less digits than its factorization.

11331111201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11331111201132 its reverse (23110211113311), we get a palindrome (34441322314443).

The spelling of 11331111201132 in words is "eleven trillion, three hundred thirty-one billion, one hundred eleven million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 113 226 339 452 593 678 1186 1356 1779 2039 2372 3558 4078 6117 6911 7116 8156 12234 13822 20733 24468 27644 41466 67009 82932 134018 201027 230407 268036 402054 460814 691221 780943 804108 921628 1209127 1382442 1561886 2342829 2418254 2764884 3123772 3627381 4098223 4685658 4836508 7254762 8196446 9371316 12294669 14091529 14509524 16392892 24589338 28183058 42274587 49178676 56366116 84549174 136631351 169098348 273262702 409894053 463099199 546525404 819788106 926198398 1389297597 1592342777 1639576212 1852396796 2778595194 3184685554 4777028331 5557190388 6369371108 8356276697 9554056662 16712553394 19108113324 25068830091 33425106788 50137660182 100275320364 944259266761 1888518533522 2832777800283 3777037067044 5665555600566 11331111201132