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102152809770 = 235111721071121
BaseRepresentation
bin101111100100011001…
…0000010110100101010
3100202200012112102001220
41133020302002310222
53133202104403040
6114532305122510
710244304361554
oct1371062026452
9322605472056
10102152809770
113a360663a30
121796a929436
13982c82a88b
144d30d364d4
1529cd2342d0
hex17c8c82d2a

102152809770 has 96 divisors (see below), whose sum is σ = 284112968256. Its totient is φ = 23307571200.

The previous prime is 102152809763. The next prime is 102152809793. The reversal of 102152809770 is 77908251201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440191 + ... + 630930.

It is an arithmetic number, because the mean of its divisors is an integer number (2959510086).

Almost surely, 2102152809770 is an apocalyptic number.

102152809770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102152809770 is an abundant number, since it is smaller than the sum of its proper divisors (181960158486).

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

102152809770 is a wasteful number, since it uses less digits than its factorization.

102152809770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071176 (or 1071159 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 102152809770 in words is "one hundred two billion, one hundred fifty-two million, eight hundred nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 289 330 374 510 561 578 867 935 1122 1445 1734 1870 2805 2890 3179 4335 5610 6358 8670 9537 15895 19074 31790 47685 95370 1071121 2142242 3213363 5355605 6426726 10711210 11782331 16066815 18209057 23564662 32133630 35346993 36418114 54627171 58911655 70693986 91045285 109254342 117823310 176734965 182090570 200299627 273135855 309553969 353469930 400599254 546271710 600898881 619107938 928661907 1001498135 1201797762 1547769845 1857323814 2002996270 3004494405 3095539690 3405093659 4643309535 6008988810 6810187318 9286619070 10215280977 17025468295 20430561954 34050936590 51076404885 102152809770