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2010109998 = 23133314919
BaseRepresentation
bin111011111001111…
…1101100000101110
312012002101011112110
41313303331200232
513104042004443
6531243344450
7100545440001
oct16763754056
95162334473
102010109998
11941722436
12481222126
132605a7000
14150d6b538
15bb70d233
hex77cfd82e

2010109998 has 64 divisors (see below), whose sum is σ = 4496486400. Its totient is φ = 598422240.

The previous prime is 2010109991. The next prime is 2010110023. The reversal of 2010109998 is 8999010102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010109991) 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, 406183 + ... + 411101.

It is an arithmetic number, because the mean of its divisors is an integer number (70257600).

Almost surely, 22010109998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010109998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248243200).

2010109998 is an abundant number, since it is smaller than the sum of its proper divisors (2486376402).

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

2010109998 is a wasteful number, since it uses less digits than its factorization.

2010109998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 2010109998 is about 44834.2502781077. The cubic root of 2010109998 is about 1262.0404492583.

The spelling of 2010109998 in words is "two billion, ten million, one hundred nine thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2197 2418 4394 4919 5239 6591 9838 10478 13182 14757 15717 29514 31434 63947 68107 127894 136214 152489 191841 204321 304978 383682 408642 457467 831311 914934 1662622 1982357 2493933 3964714 4987866 5947071 10807043 11894142 21614086 25770641 32421129 51541282 64842258 77311923 154623846 335018333 670036666 1005054999 2010109998