Search a number
-
+
1100000021013 = 341734713811667
BaseRepresentation
bin10000000000011101000…
…111000100101000010101
310220011021220002211120000
4100000131013010220111
5121010300001133023
62201155534001513
7142321011622545
oct20003507045025
93804256084500
101100000021013
11394564375863
1215922b946299
137c963ab49ca
143b3514b1325
151d9309a7243
hex1001d1c4a15

1100000021013 has 80 divisors (see below), whose sum is σ = 1747194318144. Its totient is φ = 687296171520.

The previous prime is 1100000021011. The next prime is 1100000021039. The reversal of 1100000021013 is 3101200000011.

It is not a de Polignac number, because 1100000021013 - 21 = 1100000021011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100000020986 and 1100000021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000021011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 659867206 + ... + 659868872.

Almost surely, 21100000021013 is an apocalyptic number.

It is an amenable number.

1100000021013 is a deficient number, since it is larger than the sum of its proper divisors (647194297131).

1100000021013 is a wasteful number, since it uses less digits than its factorization.

1100000021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1100000021013 its reverse (3101200000011), we get a palindrome (4201200021024).

The spelling of 1100000021013 in words is "one trillion, one hundred billion, twenty-one thousand, thirteen".

Divisors: 1 3 9 17 27 51 81 153 347 459 1041 1377 1381 1667 3123 4143 5001 5899 9369 12429 15003 17697 23477 28107 28339 37287 45009 53091 70431 85017 111861 135027 159273 211293 255051 477819 479207 578449 633879 765153 1437621 1735347 1901637 2295459 2302127 4312863 5206041 6906381 8146519 9833633 12938589 15618123 20719143 24439557 29500899 38815767 39136159 46854369 62157429 73318671 88502697 117408477 186472287 219956013 265508091 352225431 659868039 796524273 798838069 1056676293 2396514207 3170028879 7189542621 13580247173 21568627863 40740741519 64705883589 122222224557 366666673671 1100000021013