Search a number
-
+
20130030120 = 2335167750251
BaseRepresentation
bin10010101111110101…
…111110001000101000
31220221220012111001010
4102233311332020220
5312211241430440
613125252223520
71311561301314
oct225765761050
956856174033
1020130030120
11859a971632
123a9960aba0
131b8a604035
14d8d692b44
157cc3a3580
hex4afd7e228

20130030120 has 32 divisors (see below), whose sum is σ = 60390090720. Its totient is φ = 5368008000.

The previous prime is 20130030119. The next prime is 20130030127. The reversal of 20130030120 is 2103003102.

It is a happy number.

It is a super-2 number, since 2×201300301202 (a number of 21 digits) contains 22 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 = 20130030096 and 20130030105.

It is not an unprimeable number, because it can be changed into a prime (20130030127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83875006 + ... + 83875245.

It is an arithmetic number, because the mean of its divisors is an integer number (1887190335).

Almost surely, 220130030120 is an apocalyptic number.

20130030120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130030120 is an abundant number, since it is smaller than the sum of its proper divisors (40260060600).

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

20130030120 is a wasteful number, since it uses less digits than its factorization.

20130030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167750265 (or 167750261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20130030120 its reverse (2103003102), we get a palindrome (22233033222).

The spelling of 20130030120 in words is "twenty billion, one hundred thirty million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167750251 335500502 503250753 671001004 838751255 1006501506 1342002008 1677502510 2013003012 2516253765 3355005020 4026006024 5032507530 6710010040 10065015060 20130030120