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110101020102 = 232233757712457
BaseRepresentation
bin110011010001010001…
…0000011110111000110
3101112012010111022220100
41212202202003313012
53300441330120402
6122325114544530
710645256141463
oct1464242036706
9345163438810
10110101020102
114276a178aa7
1219408738146
13a4c8409b08
14548679c66a
152ce5dee71c
hex19a2883dc6

110101020102 has 96 divisors (see below), whose sum is σ = 256115351232. Its totient is φ = 34093965312.

The previous prime is 110101020101. The next prime is 110101020109. The reversal of 110101020102 is 201020101011.

It is a happy number.

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 (110101020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8832258 + ... + 8844714.

It is an arithmetic number, because the mean of its divisors is an integer number (2667868242).

Almost surely, 2110101020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128057675616).

110101020102 is an abundant number, since it is smaller than the sum of its proper divisors (146014331130).

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

110101020102 is a wasteful number, since it uses less digits than its factorization.

110101020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110101020102 its reverse (201020101011), we get a palindrome (311121121113).

The spelling of 110101020102 in words is "one hundred ten billion, one hundred one million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 577 666 851 1154 1702 1731 2553 3462 5106 5193 7659 10386 12457 13271 15318 21349 24914 26542 37371 39813 42698 64047 74742 79626 112113 119439 128094 192141 224226 238878 286511 384282 460909 491027 573022 859533 921818 982054 1382727 1473081 1719066 2578599 2765454 2946162 4148181 4419243 5157198 7187689 8296362 8838486 10600907 14375378 21201814 21563067 31802721 43126134 63605442 64689201 95408163 129378402 165316847 190816326 265944493 330633694 495950541 531888986 797833479 991901082 1487851623 1595666958 2393500437 2975703246 4787000874 6116723339 12233446678 18350170017 36700340034 55050510051 110101020102