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120010001100 = 2235211291254023
BaseRepresentation
bin110111111000100100…
…1110100101011001100
3102110202200222201102120
41233301021310223030
53431240030013400
6131044250452540
711445650115063
oct1576111645314
9373680881376
10120010001100
11469945760a0
121b313134150
13b4172a9592
145b467cb1da
1531c5ccdca0
hex1bf1274acc

120010001100 has 144 divisors (see below), whose sum is σ = 391857419520. Its totient is φ = 28090092800.

The previous prime is 120010001081. The next prime is 120010001227. The reversal of 120010001100 is 1100010021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 531312 + ... + 722711.

It is an arithmetic number, because the mean of its divisors is an integer number (2721232080).

Almost surely, 2120010001100 is an apocalyptic number.

120010001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010001100 is an abundant number, since it is smaller than the sum of its proper divisors (271847418420).

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

120010001100 is a wasteful number, since it uses less digits than its factorization.

120010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254080 (or 1254073 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 120010001100 its reverse (1100010021), we get a palindrome (121110011121).

The spelling of 120010001100 in words is "one hundred twenty billion, ten million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 1254023 2508046 3762069 5016092 6270115 7524138 12540230 13794253 15048276 18810345 25080460 27588506 31350575 36366667 37620690 41382759 55177012 62701150 68971265 72733334 75241380 82765518 94051725 109100001 125402300 137942530 145466668 165531036 181833335 188103450 206913795 218200002 275885060 344856325 363666670 376206900 400033337 413827590 436400004 545500005 689712650 727333340 800066674 827655180 909166675 1034568975 1091000010 1200100011 1379425300 1600133348 1818333350 2000166685 2069137950 2182000020 2400200022 2727500025 3636666700 4000333370 4138275900 4800400044 5455000050 6000500055 8000666740 10000833425 10910000100 12001000110 20001666850 24002000220 30002500275 40003333700 60005000550 120010001100