Search a number
-
+
23104121340114 = 2335367733164377
BaseRepresentation
bin1010100000011010110001…
…11100100000000011010010
310000210201202221101220011000
411100031120330200003102
511012014220030340424
6121045515315202430
74603134444043233
oct520153074400322
9100721687356130
1023104121340114
1173a844819a721
1227118975a6416
13cb792b41a959
1459c3616b308a
152a0ed05573c9
hex150358f200d2

23104121340114 has 128 divisors (see below), whose sum is σ = 53164737089280. Its totient is φ = 7433087980032.

The previous prime is 23104121340107. The next prime is 23104121340121. The reversal of 23104121340114 is 41104312140132.

It is a happy number.

23104121340114 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 41 + 213 + 401 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23104121340107) and next prime (23104121340121).

It is a super-2 number, since 2×231041213401142 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 140473494 + ... + 140637870.

It is an arithmetic number, because the mean of its divisors is an integer number (415349508510).

Almost surely, 223104121340114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23104121340114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26582368544640).

23104121340114 is an abundant number, since it is smaller than the sum of its proper divisors (30060615749166).

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

23104121340114 is a wasteful number, since it uses less digits than its factorization.

23104121340114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165241 (or 165235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 23104121340114 its reverse (41104312140132), we get a palindrome (64208433480246).

The spelling of 23104121340114 in words is "twenty-three trillion, one hundred four billion, one hundred twenty-one million, three hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 67 106 134 159 201 318 402 477 603 733 954 1206 1431 1466 1809 2199 2862 3551 3618 4398 6597 7102 10653 13194 19791 21306 31959 38849 39582 49111 63918 77698 95877 98222 116547 147333 164377 191754 233094 294666 328754 349641 441999 493131 699282 883998 986262 1048923 1325997 1479393 2097846 2602883 2651994 2958786 4438179 5205766 7808649 8711981 8876358 11013259 15617298 17423962 22026518 23425947 26135943 33039777 46851894 52271886 66079554 70277841 78407829 99119331 120488341 140555682 156815658 198238662 235223487 240976682 297357993 361465023 470446974 583702727 594715986 722930046 1084395069 1167405454 1751108181 2168790138 3253185207 3502216362 5253324543 6385882073 6506370414 8072718847 10506649086 12771764146 15759973629 16145437694 19157646219 24218156541 31519947258 38315292438 48436313082 57472938657 72654469623 114945877314 145308939246 172418815971 217963408869 344837631942 427854098891 435926817738 855708197782 1283562296673 2567124593346 3850686890019 7701373780038 11552060670057 23104121340114