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231232132212129 = 3219263277143312953
BaseRepresentation
bin110100100100110111101101…
…000110011110010110100001
31010022201120112212110102120200
4310210313231012132112201
5220302001401321242004
62135442324114055413
766463653540013566
oct6444675506362641
91108646485412520
10231232132212129
116774aaa6474004
1221b2640527a569
139c041340368a9
1441159a2bb686d
151baed29959239
hexd24ded19e5a1

231232132212129 has 96 divisors (see below), whose sum is σ = 354466432869120. Its totient is φ = 144848493471744.

The previous prime is 231232132212121. The next prime is 231232132212143. The reversal of 231232132212129 is 921212231232132.

231232132212129 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 3 + 213 + 221 + 212 + 9 = 666.

It is not a de Polignac number, because 231232132212129 - 23 = 231232132212121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231232132212093 and 231232132212102.

It is not an unprimeable number, because it can be changed into a prime (231232132212121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17851621117 + ... + 17851634069.

It is an arithmetic number, because the mean of its divisors is an integer number (3692358675720).

Almost surely, 2231232132212129 is an apocalyptic number.

It is an amenable number.

231232132212129 is a deficient number, since it is larger than the sum of its proper divisors (123234300656991).

231232132212129 is a wasteful number, since it uses less digits than its factorization.

231232132212129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951 (or 14948 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 231232132212129 in words is "two hundred thirty-one trillion, two hundred thirty-two billion, one hundred thirty-two million, two hundred twelve thousand, one hundred twenty-nine".

Divisors: 1 3 9 19 57 171 263 277 789 831 1433 2367 2493 4299 4997 5263 12897 12953 14991 15789 27227 38859 44973 47367 72851 81681 116577 218553 245043 246107 376879 396941 655659 738321 1130637 1190823 1384169 2214963 3391911 3406639 3572469 3587981 4152507 7160701 7541879 10219917 10763943 12457521 18561649 21482103 22625637 30659751 32291829 55684947 64446309 64726141 67876911 68171639 104395483 167054841 194178423 204514917 313186449 352671331 582535269 613544751 939559347 943639003 1058013993 1983514177 2830917009 3174041979 4881713687 5141576773 5950542531 8492751027 14645141061 15424730319 17851627593 17929141057 43935423183 46274190957 53787423171 92752560053 97689958687 161362269513 278257680159 293069876061 834773040477 879209628183 1352234691299 4056704073897 12170112221691 25692459134681 77077377404043 231232132212129