Search a number
-
+
1000111221122 = 213731373846197
BaseRepresentation
bin11101000110110110100…
…01100010100110000010
310112121110110201001011212
432203123101202212002
5112341211433033442
62043240022210122
7132153455054606
oct16433321424602
93477413631155
101000111221122
11356165790a82
121419b3283942
137340533a960
1436597119506
151b0363d5a82
hexe8db462982

1000111221122 has 32 divisors (see below), whose sum is σ = 1649649706992. Its totient is φ = 451943414784.

The previous prime is 1000111221089. The next prime is 1000111221139. The reversal of 1000111221122 is 2211221110001.

It can be written as a sum of positive squares in 8 ways, for example, as 750252201241 + 249859019881 = 866171^2 + 499859^2 .

It is a super-3 number, since 3×10001112211223 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1000111221097 and 1000111221106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663073 + ... + 2183124.

Almost surely, 21000111221122 is an apocalyptic number.

1000111221122 is a deficient number, since it is larger than the sum of its proper divisors (649538485870).

1000111221122 is a wasteful number, since it uses less digits than its factorization.

1000111221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846422.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1000111221122 its reverse (2211221110001), we get a palindrome (3211332331123).

The spelling of 1000111221122 in words is "one trillion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 13 26 73 137 146 274 949 1781 1898 3562 10001 20002 130013 260026 3846197 7692394 50000561 100001122 280772381 526928989 561544762 1053857978 3650040953 6850076857 7300081906 13700153714 38465816197 76931632394 500055610561 1000111221122