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2001190120 = 235311639901
BaseRepresentation
bin111011101000111…
…1011110011101000
312011110120222202121
41313101323303220
513044301040440
6530324241024
7100406556346
oct16721736350
95143528677
102001190120
1193768a836
1247a240174
1325b7a2c87
1414dac8996
15baa4a34a
hex7747bce8

2001190120 has 64 divisors (see below), whose sum is σ = 4676912640. Its totient is φ = 769824000.

The previous prime is 2001190117. The next prime is 2001190123. The reversal of 2001190120 is 210911002.

It is an interprime number because it is at equal distance from previous prime (2001190117) and next prime (2001190123).

It is a super-2 number, since 2×20011901202 = 8009523792771228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001190094 and 2001190103.

It is not an unprimeable number, because it can be changed into a prime (2001190123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197170 + ... + 207070.

It is an arithmetic number, because the mean of its divisors is an integer number (73076760).

Almost surely, 22001190120 is an apocalyptic number.

2001190120 is a gapful number since it is divisible by the number (20) 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 2001190120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338456320).

2001190120 is an abundant number, since it is smaller than the sum of its proper divisors (2675722520).

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

2001190120 is a wasteful number, since it uses less digits than its factorization.

2001190120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10102 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 2001190120 is about 44734.6635172324. The cubic root of 2001190120 is about 1260.1709098808.

The spelling of 2001190120 in words is "two billion, one million, one hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 163 248 310 326 620 652 815 1240 1304 1630 3260 5053 6520 9901 10106 19802 20212 25265 39604 40424 49505 50530 79208 99010 101060 198020 202120 306931 396040 613862 1227724 1534655 1613863 2455448 3069310 3227726 6138620 6455452 8069315 12277240 12910904 16138630 32277260 50029753 64554520 100059506 200119012 250148765 400238024 500297530 1000595060 2001190120