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102120030000 = 2432541134667
BaseRepresentation
bin101111100011011010…
…0111111111100110000
3100202120220212000200100
41133012310333330300
53133120211430000
6114525134352400
710243425634662
oct1370664777460
9322526760610
10102120030000
113a34410500a
121795b95b700
139825ac1571
144d2a842532
1529ca40ba00
hex17c6d3ff30

102120030000 has 150 divisors (see below), whose sum is σ = 357128810324. Its totient is φ = 27231984000.

The previous prime is 102120029989. The next prime is 102120030031. The reversal of 102120030000 is 30021201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 477334 + ... + 657333.

Almost surely, 2102120030000 is an apocalyptic number.

102120030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120030000 is an abundant number, since it is smaller than the sum of its proper divisors (255008780324).

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

102120030000 is a wasteful number, since it uses less digits than its factorization.

102120030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134701 (or 1134677 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102120030000 its reverse (30021201), we get a palindrome (102150051201).

The spelling of 102120030000 in words is "one hundred two billion, one hundred twenty million, thirty 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 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1134667 2269334 3404001 4538668 5673335 6808002 9077336 10212003 11346670 13616004 17020005 18154672 20424006 22693340 27232008 28366675 34040010 40848012 45386680 51060015 54464016 56733350 68080020 81696024 85100025 90773360 102120030 113466700 136160040 141833375 163392048 170200050 204240060 226933400 255300075 272320080 283666750 340400100 408480120 425500125 453866800 510600150 567333500 680800200 709166875 816960240 851000250 1021200300 1134667000 1276500375 1361600400 1418333750 1702000500 2042400600 2127500625 2269334000 2553000750 2836667500 3404001000 4084801200 4255001250 5106001500 5673335000 6382501875 6808002000 8510002500 10212003000 11346670000 12765003750 17020005000 20424006000 25530007500 34040010000 51060015000 102120030000