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120000001000 = 23531127739383
BaseRepresentation
bin110111111000010001…
…1101011001111101000
3102110202000011122212111
41233300203223033220
53431230000013000
6131043252252104
711445466115215
oct1576043531750
9373660148774
10120000001000
1146989965950
121b30b911034
13b4151b7969
145b45346b0c
1531c4ea5cba
hex1bf08eb3e8

120000001000 has 128 divisors (see below), whose sum is σ = 307440956160. Its totient is φ = 43477728000.

The previous prime is 120000000973. The next prime is 120000001021. The reversal of 120000001000 is 100000021.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3027309 + ... + 3066691.

It is an arithmetic number, because the mean of its divisors is an integer number (2401882470).

Almost surely, 2120000001000 is an apocalyptic number.

120000001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153720478080).

120000001000 is an abundant number, since it is smaller than the sum of its proper divisors (187440955160).

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

120000001000 is a wasteful number, since it uses less digits than its factorization.

120000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39692 (or 39678 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 120000001000 its reverse (100000021), we get a palindrome (120100001021).

The spelling of 120000001000 in words is "one hundred twenty billion, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 277 440 500 550 554 1000 1100 1108 1375 1385 2200 2216 2750 2770 3047 5500 5540 6094 6925 11000 11080 12188 13850 15235 24376 27700 30470 34625 39383 55400 60940 69250 76175 78766 121880 138500 152350 157532 196915 277000 304700 315064 380875 393830 433213 609400 761750 787660 866426 984575 1523500 1575320 1732852 1969150 2166065 3047000 3465704 3938300 4332130 4922875 7876600 8664260 9845750 10830325 10909091 17328520 19691500 21660650 21818182 39383000 43321300 43636364 54151625 54545455 86642600 87272728 108303250 109090910 120000001 216606500 218181820 240000002 272727275 433213000 436363640 480000004 545454550 600000005 960000008 1090909100 1200000010 1363636375 2181818200 2400000020 2727272750 3000000025 4800000040 5454545500 6000000050 10909091000 12000000100 15000000125 24000000200 30000000250 60000000500 120000001000