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1206116021 = 11223479221
BaseRepresentation
bin100011111100011…
…1101111010110101
310010001112001010202
41013320331322311
54432231203041
6315403130245
741613550145
oct10770757265
93101461122
101206116021
11569903900
12297b13985
13162b56226
14b6282925
1570d47a9b
hex47e3deb5

1206116021 has 24 divisors (see below), whose sum is σ = 1412957952. Its totient is φ = 1026370400.

The previous prime is 1206115997. The next prime is 1206116027.

1206116021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1206116021 - 26 = 1206115957 is a prime.

It is a super-2 number, since 2×12061160212 = 2909431712225744882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1206115984 and 1206116002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206116027) 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, 126191 + ... + 135411.

It is an arithmetic number, because the mean of its divisors is an integer number (58873248).

Almost surely, 21206116021 is an apocalyptic number.

1206116021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1206116021 is a deficient number, since it is larger than the sum of its proper divisors (206841931).

1206116021 is a wasteful number, since it uses less digits than its factorization.

1206116021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9313 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1206116021 is about 34729.1811161738. The cubic root of 1206116021 is about 1064.4608557812.

It can be divided in two parts, 12061 and 16021, that added together give a palindrome (28082).

The spelling of 1206116021 in words is "one billion, two hundred six million, one hundred sixteen thousand, twenty-one".

Divisors: 1 11 23 47 121 253 517 1081 2783 5687 9221 11891 101431 130801 212083 433387 1115741 2332913 4767257 9967901 25662043 52439827 109646911 1206116021