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2010033102 = 2371135912119
BaseRepresentation
bin111011111001110…
…1010101111001110
312012002020021001110
41313303222233032
513104032024402
6531241552450
7100544666550
oct16763525716
95162207043
102010033102
1194167a690
124811a5726
1326057accc
14150d4b4d0
15bb6e556c
hex77ceabce

2010033102 has 64 divisors (see below), whose sum is σ = 5026406400. Its totient is φ = 520589280.

The previous prime is 2010033079. The next prime is 2010033107. The reversal of 2010033102 is 2013300102.

It is a happy number.

It is a super-3 number, since 3×20100331023 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010033107) 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, 159799 + ... + 171917.

It is an arithmetic number, because the mean of its divisors is an integer number (78537600).

Almost surely, 22010033102 is an apocalyptic number.

2010033102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010033102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513203200).

2010033102 is an abundant number, since it is smaller than the sum of its proper divisors (3016373298).

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

2010033102 is a wasteful number, since it uses less digits than its factorization.

2010033102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2010033102 is about 44833.3927112370. The cubic root of 2010033102 is about 1262.0243560926.

Adding to 2010033102 its reverse (2013300102), we get a palindrome (4023333204).

The spelling of 2010033102 in words is "two billion, ten million, thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 359 462 718 1077 2154 2513 3949 5026 7539 7898 11847 12119 15078 23694 24238 27643 36357 55286 72714 82929 84833 133309 165858 169666 254499 266618 399927 508998 799854 933163 1866326 2799489 4350721 5598978 8701442 13052163 26104326 30455047 47857931 60910094 91365141 95715862 143573793 182730282 287147586 335005517 670011034 1005016551 2010033102