Search a number
-
+
1000111200021 = 32374793626609
BaseRepresentation
bin11101000110110110100…
…01011101011100010101
310112121110110122222020100
432203123101131130111
5112341211431400041
62043240021524313
7132153454636233
oct16433321353425
93477413588210
101000111200021
1135616577713a
121419b3273699
137340533117b
1436597111953
151b0363ce6b6
hexe8db45d715

1000111200021 has 24 divisors (see below), whose sum is σ = 1483960359960. Its totient is φ = 648584395776.

The previous prime is 1000111200017. The next prime is 1000111200089. The reversal of 1000111200021 is 1200021110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 702528948900 + 297582251121 = 838170^2 + 545511^2 .

It is not a de Polignac number, because 1000111200021 - 22 = 1000111200017 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 = 1000111199976 and 1000111200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111200091) 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, 1282765 + ... + 1909373.

It is an arithmetic number, because the mean of its divisors is an integer number (61831681665).

Almost surely, 21000111200021 is an apocalyptic number.

It is an amenable number.

1000111200021 is a deficient number, since it is larger than the sum of its proper divisors (483849159939).

1000111200021 is a wasteful number, since it uses less digits than its factorization.

1000111200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631445 (or 631442 counting only the distinct ones).

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

Adding to 1000111200021 its reverse (1200021110001), we get a palindrome (2200132310022).

The spelling of 1000111200021 in words is "one trillion, one hundred eleven million, two hundred thousand, twenty-one".

Divisors: 1 3 9 37 111 333 4793 14379 43137 177341 532023 626609 1596069 1879827 5639481 23184533 69553599 208660797 3003336937 9010010811 27030032433 111123466669 333370400007 1000111200021