Search a number
-
+
102151333520 = 24510713985853
BaseRepresentation
bin101111100100010110…
…0011010011010010000
3100202200002202102000222
41133020230122122100
53133201220133040
6114532213332212
710244256002615
oct1371054323220
9322602672028
10102151333520
113a35a845895
121796a337068
13982c431962
144d30a7050c
1529cd041bb5
hex17c8b1a690

102151333520 has 80 divisors (see below), whose sum is σ = 241448921280. Its totient is φ = 40186977792.

The previous prime is 102151333489. The next prime is 102151333549. The reversal of 102151333520 is 25333151201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 102151333520.

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 15 ways as a sum of consecutive naturals, for example, 1146914 + ... + 1232766.

It is an arithmetic number, because the mean of its divisors is an integer number (3018111516).

Almost surely, 2102151333520 is an apocalyptic number.

102151333520 is a gapful number since it is divisible by the number (10) 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 102151333520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120724460640).

102151333520 is an abundant number, since it is smaller than the sum of its proper divisors (139297587760).

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

102151333520 is a wasteful number, since it uses less digits than its factorization.

102151333520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86112 (or 86106 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 102151333520 its reverse (25333151201), we get a palindrome (127484484721).

The spelling of 102151333520 in words is "one hundred two billion, one hundred fifty-one million, three hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 139 214 278 428 535 556 695 856 1070 1112 1390 1712 2140 2224 2780 4280 5560 8560 11120 14873 29746 59492 74365 85853 118984 148730 171706 237968 297460 343412 429265 594920 686824 858530 1189840 1373648 1717060 3434120 6868240 9186271 11933567 18372542 23867134 36745084 45931355 47734268 59667835 73490168 91862710 95468536 119335670 146980336 183725420 190937072 238671340 367450840 477342680 734901680 954685360 1276891669 2553783338 5107566676 6384458345 10215133352 12768916690 20430266704 25537833380 51075666760 102151333520