Search a number
-
+
1010044770102 = 2321912723254703
BaseRepresentation
bin11101011001010110101…
…11000001011100110110
310120120002202102121122100
432230223113001130312
5113022032430120402
62052001432442530
7132654564614034
oct16545327013466
93516082377570
101010044770102
1135a3a2a39395
12143905b49446
137432932caa4
1436c5a501554
151b41851971c
hexeb2b5c1736

1010044770102 has 48 divisors (see below), whose sum is σ = 2321749647360. Its totient is φ = 316449984816.

The previous prime is 1010044770101. The next prime is 1010044770107. The reversal of 1010044770102 is 2010774400101.

1010044770102 is a `hidden beast` number, since 10 + 100 + 447 + 7 + 0 + 102 = 666.

It is a super-2 number, since 2×10100447701022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010044770101) 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, 11583918 + ... + 11670785.

It is an arithmetic number, because the mean of its divisors is an integer number (48369784320).

Almost surely, 21010044770102 is an apocalyptic number.

1010044770102 is an abundant number, since it is smaller than the sum of its proper divisors (1311704877258).

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

1010044770102 is a wasteful number, since it uses less digits than its factorization.

1010044770102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23254857 (or 23254854 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 1010044770102 in words is "one trillion, ten billion, forty-four million, seven hundred seventy thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 1143 2286 2413 4826 7239 14478 21717 43434 23254703 46509406 69764109 139528218 209292327 418584654 441839357 883678714 1325518071 2651036142 2953347281 3976554213 5906694562 7953108426 8860041843 17720083686 26580125529 53160251058 56113598339 112227196678 168340795017 336681590034 505022385051 1010044770102