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102422323044 = 223417130114293
BaseRepresentation
bin101111101100011011…
…0001001111101100100
3100210100222200002210000
41133120312021331210
53134230103314134
6115015133501300
710254056244546
oct1373066117544
9323328602700
10102422323044
113a489805278
1217a25041830
139873612ca2
144d58a51696
1529e6c1ee99
hex17d8d89f64

102422323044 has 120 divisors (see below), whose sum is σ = 283740073848. Its totient is φ = 32105548800.

The previous prime is 102422323021. The next prime is 102422323049. The reversal of 102422323044 is 440323224201.

102422323044 is a `hidden beast` number, since 1 + 0 + 2 + 422 + 3 + 230 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3876556644 + 98545766400 = 62262^2 + 313920^2 .

It is a super-3 number, since 3×1024223230443 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102422322999 and 102422323017.

It is not an unprimeable number, because it can be changed into a prime (102422323049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7158762 + ... + 7173054.

Almost surely, 2102422323044 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 102422323044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141870036924).

102422323044 is an abundant number, since it is smaller than the sum of its proper divisors (181317750804).

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

102422323044 is a wasteful number, since it uses less digits than its factorization.

102422323044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627 (or 15616 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 102422323044 its reverse (440323224201), we get a palindrome (542745547245).

The spelling of 102422323044 in words is "one hundred two billion, four hundred twenty-two million, three hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1301 1377 1836 2602 2754 3903 5204 5508 7806 11709 14293 15612 22117 23418 28586 35127 42879 44234 46836 57172 66351 70254 85758 88468 105381 128637 132702 140508 171516 199053 210762 242981 257274 265404 385911 398106 421524 485962 514548 597159 728943 771822 796212 971924 1157733 1194318 1457886 1543644 1791477 2186829 2315466 2388636 2915772 3582954 4373658 4630932 6560487 7165908 8747316 13120974 18595193 19681461 26241948 37190386 39362922 55785579 74380772 78725844 111571158 167356737 223142316 316118281 334713474 502070211 632236562 669426948 948354843 1004140422 1264473124 1506210633 1896709686 2008280844 2845064529 3012421266 3793419372 5690129058 6024842532 8535193587 11380258116 17070387174 25605580761 34140774348 51211161522 102422323044