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1132230103121 = 1321929671731049
BaseRepresentation
bin10000011110011110001…
…011000101000001010001
311000020111001200122110202
4100132132023011001101
5122022301401244441
62224050032304545
7144541501040525
oct20363613050121
94006431618422
101132230103121
113a71a3415557
121635256a2155
13829cc1b1900
143cb2bb87d85
151e6ba29119b
hex1079e2c5051

1132230103121 has 96 divisors (see below), whose sum is σ = 1364111280000. Its totient is φ = 935381551104.

The previous prime is 1132230103117. The next prime is 1132230103127. The reversal of 1132230103121 is 1213010322311.

It is a happy number.

It is not a de Polignac number, because 1132230103121 - 22 = 1132230103117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132230103093 and 1132230103102.

It is not an unprimeable number, because it can be changed into a prime (1132230103127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079341805 + ... + 1079342853.

It is an arithmetic number, because the mean of its divisors is an integer number (14209492500).

Almost surely, 21132230103121 is an apocalyptic number.

It is an amenable number.

1132230103121 is a deficient number, since it is larger than the sum of its proper divisors (231881176879).

1132230103121 is a wasteful number, since it uses less digits than its factorization.

1132230103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1132230103121 its reverse (1213010322311), we get a palindrome (2345240425432).

The spelling of 1132230103121 in words is "one trillion, one hundred thirty-two billion, two hundred thirty million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 13 19 29 67 169 173 247 377 551 871 1049 1273 1943 2249 3211 3287 4901 5017 7163 11323 11591 13637 16549 19931 25259 29237 30421 36917 42731 65221 70283 93119 95323 150683 177281 181477 215137 220229 259103 328367 336139 395473 479921 555503 577999 847873 913679 1239199 1335377 1958879 2038207 2359201 2862977 3368339 3448063 4369807 5141149 5262833 6238973 6386641 7513987 11877827 12158959 16109587 17359901 26496691 30669613 37218701 38725933 44824819 56807491 68416829 83026333 97681831 99993827 158066467 225678713 231020221 344456983 352609811 503437129 582722647 889418777 1079342329 1299919751 2054864071 3003262873 4583927543 6544682677 6699586409 16898956763 39042417349 59591058059 87094623317 1132230103121