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105215320042 = 273173101131251
BaseRepresentation
bin110000111111101010…
…0100101111111101010
3101001120122012001101021
41201333110211333222
53210440110220132
6120200225243054
710413222315130
oct1417724457752
9331518161337
10105215320042
114069233a258
121848449348a
139bca15a831
145141971750
152b0c024997
hex187f525fea

105215320042 has 128 divisors (see below), whose sum is σ = 192826884096. Its totient is φ = 42120000000.

The previous prime is 105215320039. The next prime is 105215320061. The reversal of 105215320042 is 240023512501.

It is a super-2 number, since 2×1052153200422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105215319989 and 105215320016.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 419184417 + ... + 419184667.

It is an arithmetic number, because the mean of its divisors is an integer number (1506460032).

Almost surely, 2105215320042 is an apocalyptic number.

105215320042 is a deficient number, since it is larger than the sum of its proper divisors (87611564054).

105215320042 is a wasteful number, since it uses less digits than its factorization.

105215320042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105215320042 its reverse (240023512501), we get a palindrome (345238832543).

The spelling of 105215320042 in words is "one hundred five billion, two hundred fifteen million, three hundred twenty thousand, forty-two".

Divisors: 1 2 7 14 31 62 73 101 131 146 202 217 251 262 434 502 511 707 917 1022 1414 1757 1834 2263 3131 3514 4061 4526 6262 7373 7781 8122 9563 13231 14746 15562 15841 18323 19126 21917 25351 26462 28427 31682 32881 36646 43834 50702 51611 54467 56854 65762 66941 92617 103222 108934 128261 133882 177457 185234 228563 230167 256522 296453 354914 410161 457126 460334 568013 592906 785881 820322 965863 1019311 1136026 1571762 1599941 1850623 1931726 2038622 2075171 2400313 2871127 3199882 3320981 3701246 3976091 4150342 4800626 5501167 5742254 6641962 6761041 7135177 7952182 11002334 12954361 13522082 14270354 16802191 23246867 25908722 29941753 33604382 46493734 57369313 59883506 74409703 102950411 114738626 148819406 205900822 209592271 242431613 401585191 419184542 484863226 520867921 720652877 803170382 1041735842 1441305754 1697021291 3394042582 7515380003 15030760006 52607660021 105215320042