Search a number
-
+
10232303334 = 231129411011291
BaseRepresentation
bin10011000011110010…
…01000111011100110
3222102002212212101120
421201321020323212
5131423432201314
64411201434410
7511365100101
oct114171107346
928362785346
1010232303334
114380960a40
121b9693ba06
13c70b74c76
146d0d53738
153ed4988a9
hex261e48ee6

10232303334 has 128 divisors (see below), whose sum is σ = 23910888960. Its totient is φ = 2889600000.

The previous prime is 10232303317. The next prime is 10232303351. The reversal of 10232303334 is 43330323201.

It is a happy number.

10232303334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10232303317) and next prime (10232303351).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7925229 + ... + 7926519.

It is an arithmetic number, because the mean of its divisors is an integer number (186803820).

Almost surely, 210232303334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232303334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955444480).

10232303334 is an abundant number, since it is smaller than the sum of its proper divisors (13678585626).

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

10232303334 is a wasteful number, since it uses less digits than its factorization.

10232303334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 10232303334 its reverse (43330323201), we get a palindrome (53562626535).

The spelling of 10232303334 in words is "ten billion, two hundred thirty-two million, three hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 101 123 174 202 246 303 319 451 606 638 902 957 1111 1189 1291 1353 1914 2222 2378 2582 2706 2929 3333 3567 3873 4141 5858 6666 7134 7746 8282 8787 12423 13079 14201 17574 24846 26158 28402 32219 37439 39237 42603 45551 52931 64438 74878 78474 85206 91102 96657 105862 112317 120089 130391 136653 158793 193314 224634 240178 260782 273306 317586 360267 391173 411829 582241 720534 782346 823658 1164482 1235487 1320979 1434301 1534999 1746723 2470974 2641958 2868602 3069998 3493446 3781339 3962937 4302903 4604997 5346031 7562678 7925874 8605806 9209994 10692062 11344017 16038093 16884989 22688034 32076186 33769978 41594729 50654967 58806341 83189458 101309934 117612682 124784187 155034899 176419023 249568374 310069798 352838046 465104697 930209394 1705383889 3410767778 5116151667 10232303334