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101022012102 = 231121031350959
BaseRepresentation
bin101111000010101100…
…0011001001011000110
3100122202101201221021210
41132011120121023012
53123343113341402
6114224152152250
710204263635424
oct1360530311306
9318671657253
10101022012102
1139930323a00
12176b4098686
1396ac485b2b
144c64a9c114
152963d1806c
hex17856192c6

101022012102 has 48 divisors (see below), whose sum is σ = 224237744640. Its totient is φ = 30315497520.

The previous prime is 101022012097. The next prime is 101022012107. The reversal of 101022012102 is 201210220101.

It is an interprime number because it is at equal distance from previous prime (101022012097) and next prime (101022012107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022012107) 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 23 ways as a sum of consecutive naturals, for example, 600702 + ... + 750257.

It is an arithmetic number, because the mean of its divisors is an integer number (4671619680).

Almost surely, 2101022012102 is an apocalyptic number.

101022012102 is an abundant number, since it is smaller than the sum of its proper divisors (123215732538).

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

101022012102 is a wasteful number, since it uses less digits than its factorization.

101022012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351089 (or 1351078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022012102 its reverse (201210220101), we get a palindrome (302232232203).

The spelling of 101022012102 in words is "one hundred one billion, twenty-two million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 1133 2266 3399 6798 12463 24926 37389 74778 1350959 2701918 4052877 8105754 14860549 29721098 44581647 89163294 139148777 163466039 278297554 326932078 417446331 490398117 834892662 980796234 1530636547 3061273094 4591909641 9183819282 16837002017 33674004034 50511006051 101022012102