Search a number
-
+
113020032312 = 233211592418679
BaseRepresentation
bin110100101000010000…
…1001101010100111000
3101210201120010111212200
41221100201031110320
53322431112013222
6123530511310200
711110512265245
oct1512041152470
9353646114780
10113020032312
1143a27953090
1219aa221b360
13a8720a6485
1456823225cc
152e172e6eac
hex1a5084d538

113020032312 has 96 divisors (see below), whose sum is σ = 339582672000. Its totient is φ = 33667997760.

The previous prime is 113020032299. The next prime is 113020032313. The reversal of 113020032312 is 213230020311.

113020032312 is a `hidden beast` number, since 1 + 130 + 200 + 323 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113020032313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162612 + ... + 1256067.

It is an arithmetic number, because the mean of its divisors is an integer number (3537319500).

Almost surely, 2113020032312 is an apocalyptic number.

113020032312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113020032312 is an abundant number, since it is smaller than the sum of its proper divisors (226562639688).

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

113020032312 is a wasteful number, since it uses less digits than its factorization.

113020032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418761 (or 2418754 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113020032312 its reverse (213230020311), we get a palindrome (326250052623).

The spelling of 113020032312 in words is "one hundred thirteen billion, twenty million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2596 3894 4248 5192 5841 7788 11682 15576 23364 46728 2418679 4837358 7256037 9674716 14512074 19349432 21768111 26605469 29024148 43536222 53210938 58048296 79816407 87072444 106421876 142702061 159632814 174144888 212843752 239449221 285404122 319265628 428106183 478898442 570808244 638531256 856212366 957796884 1141616488 1284318549 1569722671 1712424732 1915593768 2568637098 3139445342 3424849464 4709168013 5137274196 6278890684 9418336026 10274548392 12557781368 14127504039 18836672052 28255008078 37673344104 56510016156 113020032312