Search a number
-
+
110031558252 = 2237111131053821
BaseRepresentation
bin110011001111001100…
…1000101011001101100
3101112000021210022011020
41212132121011121230
53300321034331002
6122314154054140
710643453546010
oct1463631053154
9345007708136
10110031558252
1142733a45310
12193a941a350
13a4b6bc9225
14547b47a540
152cdec7d2bc
hex199e64566c

110031558252 has 96 divisors (see below), whose sum is σ = 322924783104. Its totient is φ = 28326681600.

The previous prime is 110031558211. The next prime is 110031558253. The reversal of 110031558252 is 252855130011.

It is a super-2 number, since 2×1100315582522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (110031558253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422499 + ... + 631322.

It is an arithmetic number, because the mean of its divisors is an integer number (3363799824).

Almost surely, 2110031558252 is an apocalyptic number.

110031558252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110031558252 is an abundant number, since it is smaller than the sum of its proper divisors (212893224852).

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

110031558252 is a wasteful number, since it uses less digits than its factorization.

110031558252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053959 (or 1053957 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 110031558252 its reverse (252855130011), we get a palindrome (362886688263).

The spelling of 110031558252 in words is "one hundred ten billion, thirty-one million, five hundred fifty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 113 132 154 226 231 308 339 452 462 678 791 924 1243 1356 1582 2373 2486 3164 3729 4746 4972 7458 8701 9492 14916 17402 26103 34804 52206 104412 1053821 2107642 3161463 4215284 6322926 7376747 11592031 12645852 14753494 22130241 23184062 29506988 34776093 44260482 46368124 69552186 81144217 88520964 119081773 139104372 162288434 238163546 243432651 324576868 357245319 476327092 486865302 714490638 833572411 973730604 1309899503 1428981276 1667144822 2500717233 2619799006 3334289644 3929698509 5001434466 5239598012 7859397018 9169296521 10002868932 15718794036 18338593042 27507889563 36677186084 55015779126 110031558252