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231061116 = 2231121312241
BaseRepresentation
bin11011100010110…
…11011001111100
3121002210010021010
431301123121330
5433122423431
634532235220
75503662366
oct1561333174
9532703233
10231061116
11109478700
126546bb10
1338b41270
1422989d36
1515442846
hexdc5b67c

231061116 has 72 divisors (see below), whose sum is σ = 638248912. Its totient is φ = 64627200.

The previous prime is 231061097. The next prime is 231061141. The reversal of 231061116 is 611160132.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 231061092 and 231061101.

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 23 ways as a sum of consecutive naturals, for example, 12756 + ... + 24996.

Almost surely, 2231061116 is an apocalyptic number.

231061116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231061116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319124456).

231061116 is an abundant number, since it is smaller than the sum of its proper divisors (407187796).

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

231061116 is a wasteful number, since it uses less digits than its factorization.

231061116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 231061116 is about 15200.6945893929. The cubic root of 231061116 is about 613.6333510405.

The spelling of 231061116 in words is "two hundred thirty-one million, sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 9438 12241 18876 24482 36723 48964 73446 134651 146892 159133 269302 318266 403953 477399 538604 636532 807906 954798 1481161 1615812 1750463 1909596 2962322 3500926 4443483 5251389 5924644 7001852 8886966 10502778 17773932 19255093 21005556 38510186 57765279 77020372 115530558 231061116