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2000010120 = 233553314467
BaseRepresentation
bin111011100110101…
…1011101110001000
312011101101001002220
41313031123232020
513044000310440
6530243054040
7100363543203
oct16715335610
95141331086
102000010120
11936a54229
12479971320
1325b47bb54
1414d89c93a
15ba8b58d0
hex7735bb88

2000010120 has 64 divisors (see below), whose sum is σ = 6113257920. Its totient is φ = 523271424.

The previous prime is 2000010107. The next prime is 2000010121. The reversal of 2000010120 is 210100002.

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 = 2000010099 and 2000010108.

It is not an unprimeable number, because it can be changed into a prime (2000010121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150874 + ... + 163593.

It is an arithmetic number, because the mean of its divisors is an integer number (95519655).

Almost surely, 22000010120 is an apocalyptic number.

2000010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000010120 is an abundant number, since it is smaller than the sum of its proper divisors (4113247800).

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

2000010120 is a wasteful number, since it uses less digits than its factorization.

2000010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314534 (or 314530 counting only the distinct ones).

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

The square root of 2000010120 is about 44721.4726948923. The cubic root of 2000010120 is about 1259.9231749581.

Adding to 2000010120 its reverse (210100002), we get a palindrome (2210110122).

The spelling of 2000010120 in words is "two billion, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 314467 628934 943401 1257868 1572335 1886802 2515736 3144670 3773604 4717005 6289340 7547208 9434010 12578680 16666751 18868020 33333502 37736040 50000253 66667004 83333755 100000506 133334008 166667510 200001012 250001265 333335020 400002024 500002530 666670040 1000005060 2000010120