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120102100048 = 2473737197793
BaseRepresentation
bin110111111011010100…
…1001001110001010000
3102111000010021211102201
41233312221021301100
53431432114200143
6131101340452544
711451146002120
oct1576651116120
9374003254381
10120102100048
1146a31560427
121b339b4a154
13b4303b49b8
145b54b22c80
1531cde2264d
hex1bf6a49c50

120102100048 has 80 divisors (see below), whose sum is σ = 273236440320. Its totient is φ = 50061293568.

The previous prime is 120102099979. The next prime is 120102100049. The reversal of 120102100048 is 840001201021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120102099998 and 120102100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102100049) 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 15 ways as a sum of consecutive naturals, for example, 15407640 + ... + 15415432.

It is an arithmetic number, because the mean of its divisors is an integer number (3415455504).

Almost surely, 2120102100048 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 120102100048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136618220160).

120102100048 is an abundant number, since it is smaller than the sum of its proper divisors (153134340272).

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

120102100048 is a wasteful number, since it uses less digits than its factorization.

120102100048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 120102100048 its reverse (840001201021), we get a palindrome (960103301069).

The spelling of 120102100048 in words is "one hundred twenty billion, one hundred two million, one hundred thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 3719 4144 7438 7793 14876 15586 26033 29752 31172 52066 54551 59504 62344 104132 109102 124688 137603 208264 218204 275206 288341 416528 436408 550412 576682 872816 963221 1100824 1153364 1926442 2018387 2201648 2306728 3852884 4036774 4613456 7705768 8073548 15411536 16147096 28982167 32294192 57964334 115928668 202875169 231857336 405750338 463714672 811500676 1072340179 1623001352 2144680358 3246002704 4289360716 7506381253 8578721432 15012762506 17157442864 30025525012 60051050024 120102100048