Search a number
-
+
20102301120 = 2635112612837
BaseRepresentation
bin10010101110001100…
…001100010111000000
31220212222000201000010
4102232030030113000
5312132142113440
613122422024520
71311103511616
oct225614142700
956788021003
1020102301120
118586252400
123a90278140
131b84945945
14d89b156b6
157c9c27580
hex4ae30c5c0

20102301120 has 336 divisors, whose sum is σ = 71329747104. Its totient is φ = 4791705600.

The previous prime is 20102301103. The next prime is 20102301133. The reversal of 20102301120 is 2110320102.

It is a super-4 number, since 4×201023011204 (a number of 42 digits) contains 4444 as substring.

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 = 20102301096 and 20102301105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7084342 + ... + 7087178.

It is an arithmetic number, because the mean of its divisors is an integer number (212290914).

Almost surely, 220102301120 is an apocalyptic number.

20102301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35664873552).

20102301120 is an abundant number, since it is smaller than the sum of its proper divisors (51227445984).

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

20102301120 is a wasteful number, since it uses less digits than its factorization.

20102301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20102301120 its reverse (2110320102), we get a palindrome (22212621222).

The spelling of 20102301120 in words is "twenty billion, one hundred two million, three hundred one thousand, one hundred twenty".