Search a number
-
+
101312484 = 223713192257
BaseRepresentation
bin1100000100111…
…10011111100100
321001122012121020
412002132133210
5201413444414
614015251140
72340066450
oct602363744
9231565536
10101312484
1152208629
1229b19ab0
1317cb3020
14d653660
158d637a9
hex609e7e4

101312484 has 144 divisors (see below), whose sum is σ = 308262528. Its totient is φ = 25214976.

The previous prime is 101312483. The next prime is 101312501. The reversal of 101312484 is 484213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312483) 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, 394084 + ... + 394340.

It is an arithmetic number, because the mean of its divisors is an integer number (2140712).

Almost surely, 2101312484 is an apocalyptic number.

101312484 is a gapful number since it is divisible by the number (14) 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 101312484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154131264).

101312484 is an abundant number, since it is smaller than the sum of its proper divisors (206950044).

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

101312484 is a wasteful number, since it uses less digits than its factorization.

101312484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 101312484 is about 10065.4102747975. The cubic root of 101312484 is about 466.1807338638.

Adding to 101312484 its reverse (484213101), we get a palindrome (585525585).

The spelling of 101312484 in words is "one hundred one million, three hundred twelve thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 257 266 273 361 364 399 494 514 532 546 722 741 771 798 988 1028 1083 1092 1444 1482 1542 1596 1729 1799 2166 2527 2964 3084 3341 3458 3598 4332 4693 4883 5054 5187 5397 6682 6916 7196 7581 9386 9766 10023 10108 10374 10794 13364 14079 14649 15162 18772 19532 20046 20748 21588 23387 28158 29298 30324 32851 34181 40092 46774 56316 58596 63479 65702 68362 70161 92777 93548 98553 102543 126958 131404 136724 140322 185554 190437 197106 205086 253916 278331 280644 371108 380874 394212 410172 444353 556662 649439 761748 888706 1113324 1206101 1298878 1333059 1777412 1948317 2412202 2597756 2666118 3618303 3896634 4824404 5332236 7236606 7793268 8442707 14473212 16885414 25328121 33770828 50656242 101312484