Search a number
-
+
210330033012 = 2232112323092889
BaseRepresentation
bin1100001111100010100…
…1011001101101110100
3202002220021001201210200
43003320221121231310
511421223442024022
6240342502320500
721124113532221
oct3037051315564
9662807051720
10210330033012
1181222902970
123491b129130
1316aac4c1448
14a273dd4948
1557102c4bac
hex30f8a59b74

210330033012 has 72 divisors (see below), whose sum is σ = 605218461120. Its totient is φ = 60965224320.

The previous prime is 210330032971. The next prime is 210330033013.

210330033012 is a `hidden beast` number, since 2 + 1 + 0 + 330 + 0 + 330 + 1 + 2 = 666.

210330033012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210330033013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11537337 + ... + 11555552.

It is an arithmetic number, because the mean of its divisors is an integer number (8405811960).

Almost surely, 2210330033012 is an apocalyptic number.

210330033012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210330033012 is an abundant number, since it is smaller than the sum of its proper divisors (394888428108).

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

210330033012 is a wasteful number, since it uses less digits than its factorization.

210330033012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23092933 (or 23092928 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 2103300 and 33012, that added together give a palindrome (2136312).

The spelling of 210330033012 in words is "two hundred ten billion, three hundred thirty million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 23092889 46185778 69278667 92371556 138557334 207836001 254021779 277114668 415672002 508043558 531136447 762065337 831344004 1016087116 1062272894 1524130674 1593409341 2124545788 2286196011 3048261348 3186818682 4572392022 4780228023 5842500917 6373637364 9144784044 9560456046 11685001834 17527502751 19120912092 23370003668 35055005502 52582508253 70110011004 105165016506 210330033012