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51355030122 = 232111996432027
BaseRepresentation
bin101111110100111111…
…111001001001101010
311220120000112211111200
4233310333321021222
51320133341430442
635331524305030
73465424360614
oct576477711152
9156500484450
1051355030122
111a863637260
129b52842176
134ac57047b6
1426b2697db4
15150880534c
hexbf4ff926a

51355030122 has 96 divisors (see below), whose sum is σ = 122244595200. Its totient is φ = 15452220960.

The previous prime is 51355030121. The next prime is 51355030123. The reversal of 51355030122 is 22103055315.

It is a happy number.

51355030122 is a `hidden beast` number, since 5 + 1 + 35 + 503 + 0 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (51355030121) and next prime (51355030123).

It is not an unprimeable number, because it can be changed into a prime (51355030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25334473 + ... + 25336499.

It is an arithmetic number, because the mean of its divisors is an integer number (1273381200).

Almost surely, 251355030122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51355030122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61122297600).

51355030122 is an abundant number, since it is smaller than the sum of its proper divisors (70889565078).

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

51355030122 is a wasteful number, since it uses less digits than its factorization.

51355030122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 51355030122 its reverse (22103055315), we get a palindrome (73458085437).

The spelling of 51355030122 in words is "fifty-one billion, three hundred fifty-five million, thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 199 398 597 643 1194 1286 1791 1929 2027 2189 3582 3858 4054 4378 5787 6081 6567 7073 11574 12162 13134 14146 18243 19701 21219 22297 36486 39402 42438 44594 63657 66891 127314 127957 133782 200673 255914 383871 401346 403373 767742 806746 1151613 1210119 1303361 1407527 2303226 2420238 2606722 2815054 3630357 3910083 4222581 4437103 7260714 7820166 8445162 8874206 11730249 12667743 13311309 14336971 23460498 25335486 26622618 28673942 39933927 43010913 79867854 86021826 129032739 258065478 259368839 518737678 778106517 1556213034 2334319551 2853057229 4668639102 5706114458 8559171687 17118343374 25677515061 51355030122