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231063126 = 23722941661
BaseRepresentation
bin11011100010110…
…11111001010110
3121002210020000120
431301123321112
5433123010001
634532252410
75504001300
oct1561337126
9532706016
10231063126
1110947a168
1265471106
1338b42158
142298a970
1515443236
hexdc5be56

231063126 has 96 divisors (see below), whose sum is σ = 570538080. Its totient is φ = 62092800.

The previous prime is 231063103. The next prime is 231063149. The reversal of 231063126 is 621360132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231063103) and next prime (231063149).

It is a junction number, because it is equal to n+sod(n) for n = 231063096 and 231063105.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 349236 + ... + 349896.

It is an arithmetic number, because the mean of its divisors is an integer number (5943105).

Almost surely, 2231063126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231063126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285269040).

231063126 is an abundant number, since it is smaller than the sum of its proper divisors (339474954).

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

231063126 is a wasteful number, since it uses less digits than its factorization.

231063126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 231063126 is about 15200.7607046490. The cubic root of 231063126 is about 613.6351303669.

The spelling of 231063126 in words is "two hundred thirty-one million, sixty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 41 42 49 58 82 87 98 123 147 174 203 246 287 294 406 574 609 661 861 1189 1218 1322 1421 1722 1983 2009 2378 2842 3567 3966 4018 4263 4627 6027 7134 8323 8526 9254 12054 13881 16646 19169 24969 27101 27762 32389 38338 49938 54202 57507 58261 64778 81303 97167 115014 116522 134183 162606 174783 189707 194334 268366 349566 379414 402549 569121 785929 805098 939281 1138242 1327949 1571858 1878562 2357787 2655898 2817843 3983847 4715574 5501503 5635686 7967694 11003006 16504509 33009018 38510521 77021042 115531563 231063126