Search a number
-
+
202000123024 = 24715443116789
BaseRepresentation
bin1011110000100000100…
…1010100010010010000
3201022101201212110110221
42330020021110102100
511302144012414044
6232444135402424
720410515500320
oct2741011242220
9638351773427
10202000123024
1178738892237
1233195523414
131608280a51b
149ac39ad280
1553c3d5d484
hex2f08254490

202000123024 has 40 divisors (see below), whose sum is σ = 447318780480. Its totient is φ = 86565134208.

The previous prime is 202000123021. The next prime is 202000123033. The reversal of 202000123024 is 420321000202.

It is a super-2 number, since 2×2020001230242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202000122989 and 202000123007.

It is not an unprimeable number, because it can be changed into a prime (202000123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1671222 + ... + 1788010.

It is an arithmetic number, because the mean of its divisors is an integer number (11182969512).

Almost surely, 2202000123024 is an apocalyptic number.

It is an amenable number.

202000123024 is an abundant number, since it is smaller than the sum of its proper divisors (245318657456).

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

202000123024 is a wasteful number, since it uses less digits than its factorization.

202000123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132247 (or 132241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202000123024 its reverse (420321000202), we get a palindrome (622321123226).

The spelling of 202000123024 in words is "two hundred two billion, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 15443 30886 61772 108101 116789 123544 216202 233578 247088 432404 467156 817523 864808 934312 1635046 1729616 1868624 3270092 6540184 13080368 1803572527 3607145054 7214290108 12625007689 14428580216 25250015378 28857160432 50500030756 101000061512 202000123024