Search a number
-
+
102020102112 = 2531227786561
BaseRepresentation
bin101111100000011011…
…1110011011111100000
3100202022221211011101110
41133000313303133200
53132414121231422
6114511204503320
710241103363015
oct1370067633740
9322287734343
10102020102112
113a2a2762785
12179323aab40
13980b1a4836
144d1b46d70c
1529c176d60c
hex17c0df37e0

102020102112 has 48 divisors (see below), whose sum is σ = 267827675472. Its totient is φ = 34003537920.

The previous prime is 102020102089. The next prime is 102020102117. The reversal of 102020102112 is 211201020201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020102117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135312 + ... + 1221872.

It is an arithmetic number, because the mean of its divisors is an integer number (5579743239).

Almost surely, 2102020102112 is an apocalyptic number.

102020102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102020102112 is an abundant number, since it is smaller than the sum of its proper divisors (165807573360).

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

102020102112 is a wasteful number, since it uses less digits than its factorization.

102020102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98851 (or 98843 counting only the distinct ones).

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

Adding to 102020102112 its reverse (211201020201), we get a palindrome (313221122313).

The spelling of 102020102112 in words is "one hundred two billion, twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12277 24554 36831 49108 73662 86561 98216 147324 173122 196432 259683 294648 346244 392864 519366 589296 692488 1038732 1178592 1384976 2077464 2769952 4154928 8309856 1062709397 2125418794 3188128191 4250837588 6376256382 8501675176 12752512764 17003350352 25505025528 34006700704 51010051056 102020102112