Search a number
-
+
1100210101232 = 241143223651913
BaseRepresentation
bin10000000000101001101…
…000011101101111110000
310220011211112102000102212
4100000221220131233300
5121011212241214412
62201232440431252
7142326142362404
oct20005150355760
93804745360385
101100210101232
11394661a13180
1215928a178528
137c99848b228
143b371359104
151d944153222
hex10029a1dbf0

1100210101232 has 80 divisors (see below), whose sum is σ = 2390198350848. Its totient is φ = 486274199040.

The previous prime is 1100210101231. The next prime is 1100210101259. The reversal of 1100210101232 is 2321010120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100210101231) 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, 1361708 + ... + 2013620.

Almost surely, 21100210101232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100210101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195099175424).

1100210101232 is an abundant number, since it is smaller than the sum of its proper divisors (1289988249616).

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

1100210101232 is a wasteful number, since it uses less digits than its factorization.

1100210101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652198 (or 652192 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100210101232 its reverse (2321010120011), we get a palindrome (3421220221243).

The spelling of 1100210101232 in words is "one trillion, one hundred billion, two hundred ten million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 223 344 446 473 688 892 946 1784 1892 2453 3568 3784 4906 7568 9589 9812 19178 19624 38356 39248 76712 105479 153424 210958 421916 651913 843832 1303826 1687664 2607652 5215304 7171043 10430608 14342086 28032259 28684172 56064518 57368344 112129036 114736688 145376599 224258072 290753198 308354849 448516144 581506396 616709698 1163012792 1233419396 1599142589 2326025584 2466838792 3198285178 4933677584 6251193757 6396570356 12502387514 12793140712 25004775028 25586281424 50009550056 68763131327 100019100112 137526262654 275052525308 550105050616 1100210101232