Search a number
-
+
1110000012021 = 32973134219649
BaseRepresentation
bin10000001001110001001…
…010000000101011110101
310221010002210212000100100
4100021301022000223311
5121141240000341041
62205532120304313
7143123556266355
oct20116112005365
93833083760310
101110000012021
1139882608403a
1215b160912099
138089879b054
143ba1d630b65
151dd188626b6
hex10271280af5

1110000012021 has 48 divisors (see below), whose sum is σ = 1629066602800. Its totient is φ = 728221777920.

The previous prime is 1110000011971. The next prime is 1110000012089. The reversal of 1110000012021 is 1202100000111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 747854825796 + 362145186225 = 864786^2 + 601785^2 .

It is not a de Polignac number, because 1110000012021 - 217 = 1109999880949 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1110000011994 and 1110000012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000012091) 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, 115033005 + ... + 115042653.

Almost surely, 21110000012021 is an apocalyptic number.

It is an amenable number.

1110000012021 is a deficient number, since it is larger than the sum of its proper divisors (519066590779).

1110000012021 is a wasteful number, since it uses less digits than its factorization.

1110000012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110000012021 its reverse (1202100000111), we get a palindrome (2312100012132).

The spelling of 1110000012021 in words is "one trillion, one hundred ten billion, twelve thousand, twenty-one".

Divisors: 1 3 9 97 291 313 421 873 939 1263 2817 3789 9649 28947 30361 40837 86841 91083 122511 131773 273249 367533 395319 935953 1185957 2807859 3020137 4062229 8423577 9060411 12186687 12781981 27181233 36560061 38345943 115037829 292953289 394036213 878859867 1182108639 1271477677 2636579601 3546325917 3814433031 11443299093 123333334669 370000004007 1110000012021