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104312214000 = 2432535795123
BaseRepresentation
bin110000100100101111…
…1100001000111110000
3100222020200211111210100
41201021133201013300
53202112411322000
6115530444432400
710351645121661
oct1411137410760
9328220744710
10104312214000
1140269586325
1218271b48700
139ab5017467
145097a47368
152aa7ad2a00
hex18497e11f0

104312214000 has 120 divisors (see below), whose sum is σ = 364327855632. Its totient is φ = 27816585600.

The previous prime is 104312213989. The next prime is 104312214031. The reversal of 104312214000 is 412213401.

104312214000 is a `hidden beast` number, since 1 + 0 + 43 + 1 + 221 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2879562 + ... + 2915561.

Almost surely, 2104312214000 is an apocalyptic number.

104312214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104312214000 is an abundant number, since it is smaller than the sum of its proper divisors (260015641632).

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

104312214000 is a wasteful number, since it uses less digits than its factorization.

104312214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795152 (or 5795133 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104312214000 its reverse (412213401), we get a palindrome (104724427401).

The spelling of 104312214000 in words is "one hundred four billion, three hundred twelve million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 5795123 11590246 17385369 23180492 28975615 34770738 46360984 52156107 57951230 69541476 86926845 92721968 104312214 115902460 139082952 144878075 173853690 208624428 231804920 260780535 278165904 289756150 347707380 417248856 434634225 463609840 521561070 579512300 695414760 724390375 834497712 869268450 1043122140 1159024600 1303902675 1390829520 1448780750 1738536900 2086244280 2173171125 2318049200 2607805350 2897561500 3477073800 4172488560 4346342250 5215610700 5795123000 6519513375 6954147600 8692684500 10431221400 11590246000 13039026750 17385369000 20862442800 26078053500 34770738000 52156107000 104312214000