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120102010000020 = 223252339773073419
BaseRepresentation
bin11011010011101101101101…
…101001001001001010010100
3120202020122021120120221212100
4123103231231221021022110
5111220222404030000040
61103234033545122100
734204040524654056
oct3323555551111224
9522218246527770
10120102010000020
11352a4a81657054
12115786a8189330
1352027564a5329
142192d7b02d8d6
15dd41e007ab30
hex6d3b6da49294

120102010000020 has 144 divisors (see below), whose sum is σ = 381106530080640. Its totient is φ = 30557549645568.

The previous prime is 120102009999973. The next prime is 120102010000061. The reversal of 120102010000020 is 20000010201021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120102009999957 and 120102010000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34893130 + ... + 38180289.

It is an arithmetic number, because the mean of its divisors is an integer number (2646573125560).

Almost surely, 2120102010000020 is an apocalyptic number.

120102010000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102010000020 is an abundant number, since it is smaller than the sum of its proper divisors (261004520080620).

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

120102010000020 is a wasteful number, since it uses less digits than its factorization.

120102010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73073854 (or 73073849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120102010000020 its reverse (20000010201021), we get a palindrome (140102020201041).

The spelling of 120102010000020 in words is "one hundred twenty trillion, one hundred two billion, ten million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 397 414 460 690 794 828 1035 1191 1380 1588 1985 2070 2382 3573 3970 4140 4764 5955 7146 7940 9131 11910 14292 17865 18262 23820 27393 35730 36524 45655 54786 71460 82179 91310 109572 136965 164358 182620 273930 328716 410895 547860 821790 1643580 73073419 146146838 219220257 292293676 365367095 438440514 657660771 730734190 876881028 1096101285 1315321542 1461468380 1680688637 2192202570 2630643084 3288303855 3361377274 4384405140 5042065911 6576607710 6722754548 8403443185 10084131822 13153215420 15126197733 16806886370 20168263644 25210329555 29010147343 30252395466 33613772740 50420659110 58020294686 60504790932 75630988665 87030442029 100841318220 116040589372 145050736715 151261977330 174060884058 261091326087 290101473430 302523954660 348121768116 435152210145 522182652174 580202946860 667233388889 870304420290 1044365304348 1305456630435 1334466777778 1740608840580 2001700166667 2610913260870 2668933555556 3336166944445 4003400333334 5221826521740 6005100500001 6672333888890 8006800666668 10008500833335 12010201000002 13344667777780 20017001666670 24020402000004 30025502500005 40034003333340 60051005000010 120102010000020