Search a number
-
+
102351550152 = 233411972811879
BaseRepresentation
bin101111101010010100…
…0001011011011001000
3100210012001111110121210
41133110220023123020
53134103444101102
6115004124533120
710252236551565
oct1372450133310
9323161443553
10102351550152
113a452866585
1217a053b11a0
139861a63737
144d4d4ab86c
1529e08e036c
hex17d4a0b6c8

102351550152 has 128 divisors (see below), whose sum is σ = 264528633600. Its totient is φ = 32980684800.

The previous prime is 102351550139. The next prime is 102351550211. The reversal of 102351550152 is 251055153201.

It is a super-3 number, since 3×1023515501523 (a number of 34 digits) contains 333 as substring.

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, 54470349 + ... + 54472227.

It is an arithmetic number, because the mean of its divisors is an integer number (2066629950).

Almost surely, 2102351550152 is an apocalyptic number.

102351550152 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 102351550152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132264316800).

102351550152 is an abundant number, since it is smaller than the sum of its proper divisors (162177083448).

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

102351550152 is a wasteful number, since it uses less digits than its factorization.

102351550152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 102351550152 in words is "one hundred two billion, three hundred fifty-one million, five hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 197 246 281 328 394 492 562 591 788 843 984 1124 1182 1576 1686 1879 2248 2364 3372 3758 4728 5637 6744 7516 8077 11274 11521 15032 16154 22548 23042 24231 32308 34563 45096 46084 48462 55357 64616 69126 77039 92168 96924 110714 138252 154078 166071 193848 221428 231117 276504 308156 332142 370163 442856 462234 527999 616312 664284 740326 924468 1055998 1110489 1328568 1480652 1583997 1848936 2111996 2220978 2269637 2961304 3167994 4223992 4441956 4539274 6335988 6808911 8883912 9078548 12671976 13617822 15176683 18157096 21647959 27235644 30353366 43295918 45530049 54471288 60706732 64943877 86591836 91060098 104015803 121413464 129887754 173183672 182120196 208031606 259775508 312047409 364240392 416063212 519551016 624094818 832126424 1248189636 2496379272 4264647923 8529295846 12793943769 17058591692 25587887538 34117183384 51175775076 102351550152