Search a number
-
+
13110044420 = 225111011673533
BaseRepresentation
bin11000011010110101…
…10110011100000100
31020211122212021000202
430031122312130010
5203322132410140
610004521430032
7642610352564
oct141532663404
936748767022
1013110044420
115618307460
12265a63b318
13130c121345
148c5212da4
1551ae3c915
hex30d6b6704

13110044420 has 96 divisors (see below), whose sum is σ = 30521546496. Its totient is φ = 4690496000.

The previous prime is 13110044407. The next prime is 13110044449. The reversal of 13110044420 is 2444001131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13110044392 and 13110044401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708974 + ... + 3712506.

It is an arithmetic number, because the mean of its divisors is an integer number (317932776).

Almost surely, 213110044420 is an apocalyptic number.

13110044420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260773248).

13110044420 is an abundant number, since it is smaller than the sum of its proper divisors (17411502076).

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

13110044420 is a wasteful number, since it uses less digits than its factorization.

13110044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13110044420 its reverse (2444001131), we get a palindrome (15554045551).

The spelling of 13110044420 in words is "thirteen billion, one hundred ten million, forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 167 202 220 334 404 505 668 835 1010 1111 1670 1837 2020 2222 3340 3533 3674 4444 5555 7066 7348 9185 11110 14132 16867 17665 18370 22220 33734 35330 36740 38863 67468 70660 77726 84335 155452 168670 185537 194315 337340 356833 371074 388630 590011 713666 742148 777260 927685 1180022 1427332 1784165 1855370 2360044 2950055 3568330 3710740 3925163 5900110 6490121 7136660 7850326 11800220 12980242 15700652 19625815 25960484 32450605 39251630 59591111 64901210 78503260 119182222 129802420 238364444 297955555 595911110 655502221 1191822220 1311004442 2622008884 3277511105 6555022210 13110044420