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2002101102 = 232236789811
BaseRepresentation
bin111011101010101…
…1010001101101110
312011112022021101200
41313111122031232
513100014213402
6530355550330
7100420402311
oct16725321556
95145267350
102002101102
11938152211
1247a5bb3a6
1325ba31811
1414dc84978
15bab7a21c
hex7755a36e

2002101102 has 96 divisors (see below), whose sum is σ = 4651395840. Its totient is φ = 620991360.

The previous prime is 2002101091. The next prime is 2002101107. The reversal of 2002101102 is 2011012002.

It is a super-2 number, since 2×20021011022 = 8016817645259228808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002101107) 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 47 ways as a sum of consecutive naturals, for example, 2468277 + ... + 2469087.

It is an arithmetic number, because the mean of its divisors is an integer number (48452040).

Almost surely, 22002101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325697920).

2002101102 is an abundant number, since it is smaller than the sum of its proper divisors (2649294738).

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

2002101102 is a wasteful number, since it uses less digits than its factorization.

2002101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2002101102 is about 44744.8444181003. The cubic root of 2002101102 is about 1260.3620992556.

Adding to 2002101102 its reverse (2011012002), we get a palindrome (4013113104).

The spelling of 2002101102 in words is "two billion, two million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 67 69 89 134 138 178 201 207 267 402 414 534 603 801 811 1206 1541 1602 1622 2047 2433 3082 4094 4623 4866 5963 6141 7299 9246 11926 12282 13869 14598 17889 18423 18653 27738 35778 36846 37306 53667 54337 55959 72179 107334 108674 111918 137149 144358 163011 167877 216537 274298 326022 335754 411447 433074 489033 649611 822894 978066 1234341 1249751 1299222 1660117 2468682 2499502 3320234 3749253 4835993 4980351 7498506 9671986 9960702 11247759 14507979 14941053 22495518 29015958 29882106 43523937 87047874 111227839 222455678 333683517 667367034 1001050551 2002101102