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2020102112 = 257174711287
BaseRepresentation
bin111100001101000…
…0100111111100000
312012210011211010202
41320122010333200
513114121231422
6532241444332
7101026404350
oct17032047740
95183154122
102020102112
11947327686
124846406a8
132626950c2
1415240cb60
15bc533b92
hex78684fe0

2020102112 has 96 divisors (see below), whose sum is σ = 4915427328. Its totient is φ = 797423616.

The previous prime is 2020102109. The next prime is 2020102171. The reversal of 2020102112 is 2112010202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2020102093 and 2020102102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173333 + ... + 184619.

It is an arithmetic number, because the mean of its divisors is an integer number (51202368).

Almost surely, 22020102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457713664).

2020102112 is an abundant number, since it is smaller than the sum of its proper divisors (2895325216).

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

2020102112 is a wasteful number, since it uses less digits than its factorization.

2020102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2020102112 is about 44945.5460752231. The cubic root of 2020102112 is about 1264.1281649136.

Adding to 2020102112 its reverse (2112010202), we get a palindrome (4132112314).

The spelling of 2020102112 in words is "two billion, twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 68 94 112 119 136 188 224 238 272 329 376 476 544 658 752 799 952 1316 1504 1598 1904 2632 3196 3808 5264 5593 6392 10528 11186 11287 12784 22372 22574 25568 44744 45148 79009 89488 90296 158018 178976 180592 191879 316036 361184 383758 530489 632072 767516 1060978 1264144 1343153 1535032 2121956 2528288 2686306 3070064 3713423 4243912 5372612 6140128 7426846 8487824 9018313 10745224 14853692 16975648 18036626 21490448 29707384 36073252 42980896 59414768 63128191 72146504 118829536 126256382 144293008 252512764 288586016 505025528 1010051056 2020102112