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10104342122000 = 245371742455219
BaseRepresentation
bin1001001100001001100110…
…1110010000111000010000
31022202222001222100020200102
42103002121232100320100
52311022143040401000
633253512022511532
72062005005632520
oct223023156207020
938688058306612
1010104342122000
1132462557876a5
1211723578955a8
13583ab2414b09
1426d0a4b1d680
15127c854823d5
hex93099b90e10

10104342122000 has 160 divisors (see below), whose sum is σ = 29565135924480. Its totient is φ = 3260560742400.

The previous prime is 10104342121999. The next prime is 10104342122003. The reversal of 10104342122000 is 22124340101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10104342122003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20989610 + ... + 21465609.

It is an arithmetic number, because the mean of its divisors is an integer number (184782099528).

Almost surely, 210104342122000 is an apocalyptic number.

10104342122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104342122000 is an abundant number, since it is smaller than the sum of its proper divisors (19460793802480).

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

10104342122000 is a wasteful number, since it uses less digits than its factorization.

10104342122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42455266 (or 42455250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10104342122000 its reverse (22124340101), we get a palindrome (10126466462101).

The spelling of 10104342122000 in words is "ten trillion, one hundred four billion, three hundred forty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 340 350 400 425 476 500 560 595 680 700 850 875 952 1000 1190 1360 1400 1700 1750 1904 2000 2125 2380 2800 2975 3400 3500 4250 4760 5950 6800 7000 8500 9520 11900 14000 14875 17000 23800 29750 34000 47600 59500 119000 238000 42455219 84910438 169820876 212276095 297186533 339641752 424552190 594373066 679283504 721738723 849104380 1061380475 1188746132 1443477446 1485932665 1698208760 2122760950 2377492264 2886954892 2971865330 3396417520 3608693615 4245521900 4754984528 5052171061 5306902375 5773909784 5943730660 7217387230 7429663325 8491043800 10104342122 10613804750 11547819568 11887461320 14434774460 14859326650 16982087600 18043468075 20208684244 21227609500 23774922640 25260855305 28869548920 29718653300 36086936150 37148316625 40417368488 42455219000 50521710610 57739097840 59437306600 72173872300 74296633250 80834736976 84910438000 90217340375 101043421220 118874613200 126304276525 144347744600 148593266500 180434680750 202086842440 252608553050 288695489200 297186533000 360869361500 404173684880 505217106100 594373066000 631521382625 721738723000 1010434212200 1263042765250 1443477446000 2020868424400 2526085530500 5052171061000 10104342122000