Search a number
-
+
1100012022213 = 313210321064553
BaseRepresentation
bin10000000000011101110…
…100110110100111000101
310220011022201200120002220
4100000131310312213011
5121010311034202323
62201201043122553
7142321215625506
oct20003564664705
93804281616086
101100012022213
11394570122505
12159233973459
137c966427400
143b352d16bad
151d931a780e3
hex1001dd369c5

1100012022213 has 24 divisors (see below), whose sum is σ = 1603602366912. Its totient is φ = 670358302848.

The previous prime is 1100012022209. The next prime is 1100012022253. The reversal of 1100012022213 is 3122202100011.

It is not a de Polignac number, because 1100012022213 - 22 = 1100012022209 is a prime.

It is a super-3 number, since 3×11000120222133 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100012022192 and 1100012022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012022253) 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, 10480056 + ... + 10584497.

It is an arithmetic number, because the mean of its divisors is an integer number (66816765288).

Almost surely, 21100012022213 is an apocalyptic number.

1100012022213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1100012022213 is a deficient number, since it is larger than the sum of its proper divisors (503590344699).

1100012022213 is a wasteful number, since it uses less digits than its factorization.

1100012022213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21064685 (or 21064672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1100012022213 its reverse (3122202100011), we get a palindrome (4222214122224).

The spelling of 1100012022213 in words is "one trillion, one hundred billion, twelve million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 13 39 103 169 309 507 1339 4017 17407 52221 21064553 63193659 273839189 821517567 2169648959 3559909457 6508946877 10679728371 28205436467 84616309401 366670674071 1100012022213