Search a number
-
+
100403342213202 = 23272251353999077
BaseRepresentation
bin10110110101000011111001…
…100011000000000001010010
3111011111110120112211220212200
4112311003321203000001102
5101130002021101310302
6553312354134104030
730101621263322130
oct2665037143000122
9434443515756780
10100403342213202
1129a9a900195846
12b316a101ab016
134403cc1026622
141ab1794c1c750
15b91ac480881c
hex5b50f98c0052

100403342213202 has 48 divisors (see below), whose sum is σ = 248728248180672. Its totient is φ = 28673925156000.

The previous prime is 100403342213201. The next prime is 100403342213227. The reversal of 100403342213202 is 202312243304001.

100403342213202 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 33 + 422 + 1 + 3 + 202 = 666.

It is a super-2 number, since 2×1004033422132022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100403342213201) 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 23 ways as a sum of consecutive naturals, for example, 176715913 + ... + 177283164.

It is an arithmetic number, because the mean of its divisors is an integer number (5181838503764).

Almost surely, 2100403342213202 is an apocalyptic number.

100403342213202 is an abundant number, since it is smaller than the sum of its proper divisors (148324905967470).

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

100403342213202 is a wasteful number, since it uses less digits than its factorization.

100403342213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354001343 (or 354001340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100403342213202 its reverse (202312243304001), we get a palindrome (302715585517203).

The spelling of 100403342213202 in words is "one hundred trillion, four hundred three billion, three hundred forty-two million, two hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2251 4502 6753 13506 15757 20259 31514 40518 47271 94542 141813 283626 353999077 707998154 1061997231 2123994462 2477993539 3185991693 4955987078 6371983386 7433980617 14867961234 22301941851 44603883702 796851922327 1593703844654 2390555766981 4781111533962 5577963456289 7171667300943 11155926912578 14343334601886 16733890368867 33467780737734 50201671106601 100403342213202