Search a number
-
+
100203340132233 = 321323359103722757
BaseRepresentation
bin10110110010001001101000…
…011111100110111110001001
3111010210100100001122111211100
4112302021220133212332021
5101113212420033212413
6553040440131252013
730051311115560142
oct2662115037467611
9433710301574740
10100203340132233
1129a22aa8233138
12b2a40b3a4a009
1343bb199459210
141aa5c20758ac9
15b8b7bb0c2a73
hex5b22687e6f89

100203340132233 has 48 divisors (see below), whose sum is σ = 163101962499840. Its totient is φ = 58818270690432.

The previous prime is 100203340132223. The next prime is 100203340132277. The reversal of 100203340132233 is 332231043302001.

100203340132233 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 33 + 401 + 3 + 223 + 3 = 666.

It is not a de Polignac number, because 100203340132233 - 25 = 100203340132201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100203340132197 and 100203340132206.

It is not an unprimeable number, because it can be changed into a prime (100203340132223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50895310 + ... + 52827447.

It is an arithmetic number, because the mean of its divisors is an integer number (3397957552080).

Almost surely, 2100203340132233 is an apocalyptic number.

100203340132233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100203340132233 is a deficient number, since it is larger than the sum of its proper divisors (62898622367607).

100203340132233 is a wasteful number, since it uses less digits than its factorization.

100203340132233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103723158 (or 103723155 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 100203340132233 its reverse (332231043302001), we get a palindrome (432434383434234).

The spelling of 100203340132233 in words is "one hundred trillion, two hundred three billion, three hundred forty million, one hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 13 23 39 69 117 207 299 359 897 1077 2691 3231 4667 8257 14001 24771 42003 74313 107341 322023 966069 103722757 311168271 933504813 1348395841 2385623411 4045187523 7156870233 12135562569 21470610699 31013104343 37236469763 93039313029 111709409289 279117939087 335128227867 484074106919 856438804549 1452222320757 2569316413647 4356666962271 7707949240941 11133704459137 33401113377411 100203340132233