Search a number
-
+
13110100420004 = 2272298221280561
BaseRepresentation
bin1011111011000110111011…
…1000001110010110100100
31201102022110102212100222222
42332301232320032112210
53204243441201420004
643514410314411512
72522113336623500
oct276615670162644
951368412770888
1013110100420004
1141a4a649a8945
1215789aa130b98
1374137ac15033
143347646a9300
1517b0554b87be
hexbec6ee0e5a4

13110100420004 has 72 divisors (see below), whose sum is σ = 27612165745080. Its totient is φ = 5424189926400.

The previous prime is 13110100419887. The next prime is 13110100420063. The reversal of 13110100420004 is 40002400101131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1129862702500 + 11980237717504 = 1062950^2 + 3461248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46587884 + ... + 46868444.

It is an arithmetic number, because the mean of its divisors is an integer number (383502302015).

Almost surely, 213110100420004 is an apocalyptic number.

13110100420004 is a gapful number since it is divisible by the number (14) 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 13110100420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806082872540).

13110100420004 is an abundant number, since it is smaller than the sum of its proper divisors (14502065325076).

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

13110100420004 is a wasteful number, since it uses less digits than its factorization.

13110100420004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288829 (or 288820 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13110100420004 its reverse (40002400101131), we get a palindrome (53112500521135).

The spelling of 13110100420004 in words is "thirteen trillion, one hundred ten billion, one hundred million, four hundred twenty thousand, four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 5684 8221 16442 32884 57547 115094 230188 238409 280561 402829 476818 561122 805658 953636 1122244 1611316 1668863 1963927 3337726 3927854 6675452 7855708 8136269 11682041 13747489 16272538 23364082 27494978 32545076 46728164 54989956 56953883 113907766 227815532 398677181 797354362 1594708724 2306491981 4612983962 9225967924 16145443867 32290887734 64581775468 66888267449 113018107069 133776534898 226036214138 267553069796 452072428276 468217872143 936435744286 1872871488572 3277525105001 6555050210002 13110100420004