Search a number
-
+
10304122332 = 22371912235279
BaseRepresentation
bin10011001100010110…
…00110110111011100
3222121010000122112110
421212023012313130
5132100323403312
64422245034020
7513226410660
oct114613066734
928533018473
1010304122332
114408454689
121bb69b5910
13c829cc70a
146da6ca8a0
1540493343c
hex2662c6ddc

10304122332 has 96 divisors (see below), whose sum is σ = 28952985600. Its totient is φ = 2786277312.

The previous prime is 10304122261. The next prime is 10304122343. The reversal of 10304122332 is 23322140301.

It is a super-2 number, since 2×103041223322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10304122299 and 10304122308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1949269 + ... + 1954547.

It is an arithmetic number, because the mean of its divisors is an integer number (301593600).

Almost surely, 210304122332 is an apocalyptic number.

10304122332 is a gapful number since it is divisible by the number (12) 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 10304122332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476492800).

10304122332 is an abundant number, since it is smaller than the sum of its proper divisors (18648863268).

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

10304122332 is a wasteful number, since it uses less digits than its factorization.

10304122332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10304122332 its reverse (23322140301), we get a palindrome (33626262633).

The spelling of 10304122332 in words is "ten billion, three hundred four million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1223 1596 2446 3669 4892 5279 7338 8561 10558 14676 15837 17122 21116 23237 25683 31674 34244 36953 46474 51366 63348 69711 73906 92948 100301 102732 110859 139422 147812 162659 200602 221718 278844 300903 325318 401204 443436 487977 601806 650636 702107 975954 1203612 1404214 1951908 2106321 2808428 4212642 6456217 8425284 12912434 19368651 25824868 38737302 45193519 77474604 90387038 122668123 135580557 180774076 245336246 271161114 368004369 490672492 542322228 736008738 858676861 1472017476 1717353722 2576030583 3434707444 5152061166 10304122332