Search a number
-
+
11114645340 = 2235375006597
BaseRepresentation
bin10100101100111110…
…00000011101011100
31001200121011111002010
422112133000131130
5140230322122330
65034521231220
7542300632551
oct122637003534
931617144063
1011114645340
114793a22607
1221a2332510
1310818c8226
147761d4a28
15450b883b0
hex2967c075c

11114645340 has 48 divisors (see below), whose sum is σ = 31962121632. Its totient is φ = 2883799296.

The previous prime is 11114645329. The next prime is 11114645341. The reversal of 11114645340 is 4354641111.

11114645340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11114645298 and 11114645307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114645341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2501079 + ... + 2505518.

It is an arithmetic number, because the mean of its divisors is an integer number (665877534).

Almost surely, 211114645340 is an apocalyptic number.

11114645340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11114645340 is an abundant number, since it is smaller than the sum of its proper divisors (20847476292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11114645340 is a wasteful number, since it uses less digits than its factorization.

11114645340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006646 (or 5006644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11114645340 in words is "eleven billion, one hundred fourteen million, six hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5006597 10013194 15019791 20026388 25032985 30039582 50065970 60079164 75098955 100131940 150197910 185244089 300395820 370488178 555732267 740976356 926220445 1111464534 1852440890 2222929068 2778661335 3704881780 5557322670 11114645340