Search a number
-
+
51210240030 = 23255928973329
BaseRepresentation
bin101111101100010111…
…100100000000011110
311220011221002201211200
4233230113210000132
51314334310140110
635305313100330
73462015600225
oct575427440036
9156157081750
1051210240030
111a799933324
129b122576a6
134aa170b0a1
14269b367cbc
1514eac546c0
hexbec5e401e

51210240030 has 96 divisors (see below), whose sum is σ = 135490773600. Its totient is φ = 13415940096.

The previous prime is 51210240023. The next prime is 51210240041. The reversal of 51210240030 is 3004201215.

51210240030 is a `hidden beast` number, since 51 + 210 + 2 + 400 + 3 + 0 = 666.

51210240030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51210239985 and 51210240012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15381406 + ... + 15384734.

It is an arithmetic number, because the mean of its divisors is an integer number (1411362225).

Almost surely, 251210240030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51210240030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67745386800).

51210240030 is an abundant number, since it is smaller than the sum of its proper divisors (84280533570).

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

51210240030 is a wasteful number, since it uses less digits than its factorization.

51210240030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 51210240030 its reverse (3004201215), we get a palindrome (54214441245).

The spelling of 51210240030 in words is "fifty-one billion, two hundred ten million, two hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 2897 3329 5310 5794 6658 8691 9987 14485 16645 17382 19974 26073 28970 29961 33290 43455 49935 52146 59922 86910 99870 130365 149805 170923 196411 260730 299610 341846 392822 512769 589233 854615 982055 1025538 1178466 1538307 1709230 1767699 1964110 2563845 2946165 3076614 3535398 5127690 5892330 7691535 8838495 9644113 15383070 17676990 19288226 28932339 48220565 57864678 86797017 96441130 144661695 173594034 289323390 433985085 569002667 867970170 1138005334 1707008001 2845013335 3414016002 5121024003 5690026670 8535040005 10242048006 17070080010 25605120015 51210240030