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253233102231 = 32292394319419
BaseRepresentation
bin1110101111010111011…
…1100111110110010111
3220012122020202110121100
43223311313213312113
513122110133232411
6312200024121143
724203231565534
oct3536567476627
9805566673540
10253233102231
119843953686a
12410b33061b3
131ab58b4a735
14c383d75d8b
1568c1aa5456
hex3af5de7d97

253233102231 has 48 divisors (see below), whose sum is σ = 380899584000. Its totient is φ = 161924804160.

The previous prime is 253233102211. The next prime is 253233102257. The reversal of 253233102231 is 132201332352.

It is a happy number.

253233102231 is a `hidden beast` number, since 2 + 5 + 323 + 3 + 102 + 231 = 666.

It is not a de Polignac number, because 253233102231 - 26 = 253233102167 is a prime.

It is a super-2 number, since 2×2532331022312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253233102195 and 253233102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253233102211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26880640 + ... + 26890058.

It is an arithmetic number, because the mean of its divisors is an integer number (7935408000).

Almost surely, 2253233102231 is an apocalyptic number.

253233102231 is a deficient number, since it is larger than the sum of its proper divisors (127666481769).

253233102231 is a wasteful number, since it uses less digits than its factorization.

253233102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 253233102231 its reverse (132201332352), we get a palindrome (385434434583).

The spelling of 253233102231 in words is "two hundred fifty-three billion, two hundred thirty-three million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 9 29 87 239 261 431 717 1293 2151 3879 6931 9419 12499 20793 28257 37497 62379 84771 103009 112491 273151 309027 819453 927081 2251141 2458359 2987261 4059589 6753423 8961783 12178767 20260269 26885349 36536301 65283089 117728081 195849267 353184243 587547801 970241771 1059552729 2910725313 8732175939 28137011359 84411034077 253233102231