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102435142150 = 252115913124097
BaseRepresentation
bin101111101100110011…
…1000011101000000110
3100210101212210101021201
41133121213003220012
53134241344022100
6115020312333114
710254303225205
oct1373147035006
9323355711251
10102435142150
113a495a70480
1217a293a419a
139876180a63
144d5a62b23c
1529e7e0336a
hex17d99c3a06

102435142150 has 96 divisors (see below), whose sum is σ = 212995474560. Its totient is φ = 36336768000.

The previous prime is 102435142127. The next prime is 102435142157. The reversal of 102435142150 is 51241534201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102435142157) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4238902 + ... + 4262998.

It is an arithmetic number, because the mean of its divisors is an integer number (2218702860).

Almost surely, 2102435142150 is an apocalyptic number.

102435142150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102435142150 is an abundant number, since it is smaller than the sum of its proper divisors (110560332410).

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

102435142150 is a wasteful number, since it uses less digits than its factorization.

102435142150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24310 (or 24305 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 102435142150 its reverse (51241534201), we get a palindrome (153676676351).

The spelling of 102435142150 in words is "one hundred two billion, four hundred thirty-five million, one hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 59 110 118 131 262 275 295 550 590 649 655 1298 1310 1441 1475 2882 2950 3245 3275 6490 6550 7205 7729 14410 15458 16225 24097 32450 36025 38645 48194 72050 77290 85019 120485 170038 193225 240970 265067 386450 425095 530134 602425 850190 1204850 1325335 1421723 2125475 2650670 2843446 3156707 4250950 6313414 6626675 7108615 13253350 14217230 15638953 15783535 31277906 31567070 34723777 35543075 69447554 71086150 78194765 78917675 156389530 157835350 173618885 186245713 347237770 372491426 390973825 781947650 868094425 931228565 1736188850 1862457130 2048702843 4097405686 4656142825 9312285650 10243514215 20487028430 51217571075 102435142150