Search a number
-
+
20230200120 = 23351312968077
BaseRepresentation
bin10010110101110100…
…000101101100111000
31221012212200122110010
4102311310011230320
5312412412400440
613143231221520
71314215602164
oct226564055470
957185618403
1020230200120
118641469859
123b070778a0
131ba52a7020
14d9cac9ca4
157d608d580
hex4b5d05b38

20230200120 has 64 divisors (see below), whose sum is σ = 65359113120. Its totient is φ = 4979741184.

The previous prime is 20230200101. The next prime is 20230200121. The reversal of 20230200120 is 2100203202.

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 = 20230200096 and 20230200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20230200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6482479 + ... + 6485598.

Almost surely, 220230200120 is an apocalyptic number.

20230200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20230200120 is an abundant number, since it is smaller than the sum of its proper divisors (45128913000).

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

20230200120 is a wasteful number, since it uses less digits than its factorization.

20230200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12968104 (or 12968100 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20230200120 its reverse (2100203202), we get a palindrome (22330403322).

The spelling of 20230200120 in words is "twenty billion, two hundred thirty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 12968077 25936154 38904231 51872308 64840385 77808462 103744616 129680770 155616924 168585001 194521155 259361540 311233848 337170002 389042310 505755003 518723080 674340004 778084620 842925005 1011510006 1348680008 1556169240 1685850010 2023020012 2528775015 3371700020 4046040024 5057550030 6743400040 10115100060 20230200120