Search a number
-
+
10001211111 = 3237791033691
BaseRepresentation
bin10010101000001111…
…00101111011100111
3221211000001011110100
421110013211323213
5130440302223421
64332224355143
7502560614613
oct112407457347
927730034410
1010001211111
114272471a31
121b31475ab3
13c350227c8
146ac39a343
153d804bc26
hex2541e5ee7

10001211111 has 48 divisors (see below), whose sum is σ = 15174415360. Its totient is φ = 6341250240.

The previous prime is 10001211097. The next prime is 10001211131. The reversal of 10001211111 is 11111210001.

It is not a de Polignac number, because 10001211111 - 25 = 10001211079 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 = 10001211093 and 10001211102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001211131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2707776 + ... + 2711466.

Almost surely, 210001211111 is an apocalyptic number.

10001211111 is a deficient number, since it is larger than the sum of its proper divisors (5173204249).

10001211111 is a wasteful number, since it uses less digits than its factorization.

10001211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001211111 its reverse (11111210001), we get a palindrome (21112421112).

The spelling of 10001211111 in words is "ten billion, one million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 3 9 37 79 103 111 237 309 333 711 927 2923 3691 3811 8137 8769 11073 11433 24411 26307 33219 34299 73233 136567 291589 301069 380173 409701 874767 903207 1140519 1229103 2624301 2709621 3421557 10788793 14066401 30033667 32366379 42199203 90101001 97099137 126597609 270303003 1111245679 3333737037 10001211111