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2000100120 = 233537450473
BaseRepresentation
bin111011100110111…
…0001101100011000
312011101112121120020
41313031301230120
513044011200440
6530245030440
7100364366454
oct16715615430
95141477506
102000100120
11937005907
124799b5420
1325b4b0ac5
1414d8c3664
15ba8d23d0
hex77371b18

2000100120 has 64 divisors (see below), whose sum is σ = 6162484320. Its totient is φ = 518943744.

The previous prime is 2000100097. The next prime is 2000100131. The reversal of 2000100120 is 210010002.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 2000100099 and 2000100108.

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 15 ways as a sum of consecutive naturals, for example, 220797 + ... + 229676.

Almost surely, 22000100120 is an apocalyptic number.

2000100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000100120 is an abundant number, since it is smaller than the sum of its proper divisors (4162384200).

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

2000100120 is a wasteful number, since it uses less digits than its factorization.

2000100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450524 (or 450520 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2000100120 is about 44722.4789116167. The cubic root of 2000100120 is about 1259.9420734267.

Adding to 2000100120 its reverse (210010002), we get a palindrome (2210110122).

The spelling of 2000100120 in words is "two billion, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 450473 900946 1351419 1801892 2252365 2702838 3603784 4504730 5405676 6757095 9009460 10811352 13514190 16667501 18018920 27028380 33335002 50002503 54056760 66670004 83337505 100005006 133340008 166675010 200010012 250012515 333350020 400020024 500025030 666700040 1000050060 2000100120