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102112012020 = 223510116850167
BaseRepresentation
bin101111100011001011…
…0011010011011110100
3100202120100202200002010
41133012112122123310
53133111133341040
6114524250444220
710243300531644
oct1370626323364
9322510680063
10102112012020
113a33a628a87
1217959133670
139824244bb5
144d29756524
1529c9875e80
hex17c659a6f4

102112012020 has 48 divisors (see below), whose sum is σ = 288744478848. Its totient is φ = 26960265600.

The previous prime is 102112012003. The next prime is 102112012021. The reversal of 102112012020 is 20210211201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102112011987 and 102112012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112012021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8419024 + ... + 8431143.

It is an arithmetic number, because the mean of its divisors is an integer number (6015509976).

Almost surely, 2102112012020 is an apocalyptic number.

102112012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112012020 is an abundant number, since it is smaller than the sum of its proper divisors (186632466828).

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

102112012020 is a wasteful number, since it uses less digits than its factorization.

102112012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850280 (or 16850278 counting only the distinct ones).

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

Adding to 102112012020 its reverse (20210211201), we get a palindrome (122322223221).

The spelling of 102112012020 in words is "one hundred two billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 16850167 33700334 50550501 67400668 84250835 101101002 168501670 202202004 252752505 337003340 505505010 1011010020 1701866867 3403733734 5105600601 6807467468 8509334335 10211201202 17018668670 20422402404 25528003005 34037337340 51056006010 102112012020