Search a number
-
+
10043242132 = 227111071931579
BaseRepresentation
bin10010101101001111…
…11011011010010100
3221220221010120011211
421112213323122110
5131032032222012
64340325311204
7503611102210
oct112647733224
927827116154
1010043242132
11429416a510
121b43565504
13c4094a931
146b3bbb940
153dbaa06a7
hex2569fb694

10043242132 has 96 divisors (see below), whose sum is σ = 22245995520. Its totient is φ = 3853854720.

The previous prime is 10043242127. The next prime is 10043242151. The reversal of 10043242132 is 23124234001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 6359719 + ... + 6361297.

It is an arithmetic number, because the mean of its divisors is an integer number (231729120).

Almost surely, 210043242132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10043242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122997760).

10043242132 is an abundant number, since it is smaller than the sum of its proper divisors (12202753388).

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

10043242132 is a wasteful number, since it uses less digits than its factorization.

10043242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10043242132 its reverse (23124234001), we get a palindrome (33167476133).

The spelling of 10043242132 in words is "ten billion, forty-three million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 193 214 308 386 428 749 772 1177 1351 1498 1579 2123 2354 2702 2996 3158 4246 4708 5404 6316 8239 8492 11053 14861 16478 17369 20651 22106 29722 32956 34738 41302 44212 59444 69476 82604 121583 144557 168953 227161 243166 289114 304747 337906 454322 486332 578228 609494 675812 908644 1182671 1218988 1590127 1858483 2133229 2365342 3180254 3352217 3716966 4266458 4730684 6360508 6704434 7433932 8532916 13009381 13408868 23465519 26018762 32607929 46931038 52037524 65215858 93862076 130431716 228255503 358687219 456511006 717374438 913022012 1434748876 2510810533 5021621066 10043242132