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100012011111 = 32129719014507
BaseRepresentation
bin101110100100100101…
…1100010111001100111
3100120011000020120101200
41131021023202321213
53114311033323421
6113540032253543
710140251032215
oct1351113427147
9316130216350
10100012011111
113946219a241
12174719a12b3
13957b1567cc
144baa8a9cb5
15290530d726
hex17492e2e67

100012011111 has 24 divisors (see below), whose sum is σ = 144681320784. Its totient is φ = 66573446400.

The previous prime is 100012011059. The next prime is 100012011119. The reversal of 100012011111 is 111110210001.

It is not a de Polignac number, because 100012011111 - 214 = 100011994727 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 = 100012011093 and 100012011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012011119) 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, 22188120 + ... + 22192626.

It is an arithmetic number, because the mean of its divisors is an integer number (6028388366).

Almost surely, 2100012011111 is an apocalyptic number.

100012011111 is a deficient number, since it is larger than the sum of its proper divisors (44669309673).

100012011111 is a wasteful number, since it uses less digits than its factorization.

100012011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7708 counting only the distinct ones).

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

Adding to 100012011111 its reverse (111110210001), we get a palindrome (211122221112).

The spelling of 100012011111 in words is "one hundred billion, twelve million, eleven thousand, one hundred eleven".

Divisors: 1 3 9 1297 1901 3891 4507 5703 11673 13521 17109 40563 2465597 5845579 7396791 8567807 17536737 22190373 25703421 52610211 77110263 11112445679 33337337037 100012011111