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2002112310 = 2351110756701
BaseRepresentation
bin111011101010101…
…1100111100110110
312011112022211202210
41313111130330312
513100020043220
6530400114250
7100420450062
oct16725347466
95145284683
102002112310
1193815a680
1247a605986
1325ba36953
1414dc88aa2
15bab7d6e0
hex7755cf36

2002112310 has 64 divisors (see below), whose sum is σ = 5290977024. Its totient is φ = 480816000.

The previous prime is 2002112279. The next prime is 2002112311. The reversal of 2002112310 is 132112002.

It is a super-2 number, since 2×20021123102 = 8016907403707072200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002112311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6960 + ... + 63660.

It is an arithmetic number, because the mean of its divisors is an integer number (82671516).

Almost surely, 22002112310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645488512).

2002112310 is an abundant number, since it is smaller than the sum of its proper divisors (3288864714).

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

2002112310 is a wasteful number, since it uses less digits than its factorization.

2002112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56829.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2002112310 is about 44744.9696614044. The cubic root of 2002112310 is about 1260.3644511368.

Adding to 2002112310 its reverse (132112002), we get a palindrome (2134224312).

The spelling of 2002112310 in words is "two billion, two million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 535 642 1070 1177 1605 2354 3210 3531 5885 7062 11770 17655 35310 56701 113402 170103 283505 340206 567010 623711 850515 1247422 1701030 1871133 3118555 3742266 6067007 6237110 9355665 12134014 18201021 18711330 30335035 36402042 60670070 66737077 91005105 133474154 182010210 200211231 333685385 400422462 667370770 1001056155 2002112310