Search a number
-
+
8101520124 = 2231928921013
BaseRepresentation
bin1111000101110001…
…10110001011111100
3202220121102212022220
413202320312023330
5113042442120444
63415523405340
7404522533125
oct74270661374
922817385286
108101520124
113488107a85
1216a1223850
139c15997b9
1456bd7304c
153263a0619
hex1e2e362fc

8101520124 has 72 divisors (see below), whose sum is σ = 20175961680. Its totient is φ = 2529508608.

The previous prime is 8101520113. The next prime is 8101520263. The reversal of 8101520124 is 4210251018.

It is a junction number, because it is equal to n+sod(n) for n = 8101520094 and 8101520103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375042 + ... + 396054.

It is an arithmetic number, because the mean of its divisors is an integer number (280221690).

Almost surely, 28101520124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8101520124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087980840).

8101520124 is an abundant number, since it is smaller than the sum of its proper divisors (12074441556).

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

8101520124 is a wasteful number, since it uses less digits than its factorization.

8101520124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21147 (or 21126 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 8101520124 is about 90008.4447371467. Note that the first 3 decimals coincide. The cubic root of 8101520124 is about 2008.4244746220.

The spelling of 8101520124 in words is "eight billion, one hundred one million, five hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 361 534 722 1068 1083 1444 1691 2166 3382 4332 5073 6764 10146 20292 21013 32129 42026 63039 64258 84052 96387 126078 128516 192774 252156 385548 399247 798494 1197741 1596988 1870157 2395482 3740314 4790964 5610471 7480628 7585693 11220942 15171386 22441884 22757079 30342772 35532983 45514158 71065966 91028316 106598949 142131932 213197898 426395796 675126677 1350253354 2025380031 2700506708 4050760062 8101520124