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2013113001424 = 247791277178169
BaseRepresentation
bin11101010010110110111…
…000101010010111010000
321010110012022021100020111
4131102312320222113100
5230440323412021144
64140451130051104
7265304550114640
oct35226670522720
97113168240214
102013113001424
11706835897948
122861a3579a94
13117ab317c605
146d614232520
1537574301534
hex1d4b6e2a5d0

2013113001424 has 80 divisors (see below), whose sum is σ = 4517592998400. Its totient is φ = 851169825792.

The previous prime is 2013113001377. The next prime is 2013113001439. The reversal of 2013113001424 is 4241003113102.

It is a junction number, because it is equal to n+sod(n) for n = 2013113001395 and 2013113001404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11209812 + ... + 11387980.

It is an arithmetic number, because the mean of its divisors is an integer number (56469912480).

Almost surely, 22013113001424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013113001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258796499200).

2013113001424 is an abundant number, since it is smaller than the sum of its proper divisors (2504479996976).

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

2013113001424 is a wasteful number, since it uses less digits than its factorization.

2013113001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179540 (or 179534 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2013113001424 its reverse (4241003113102), we get a palindrome (6254116114526).

The spelling of 2013113001424 in words is "two trillion, thirteen billion, one hundred thirteen million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 1277 2212 2554 4424 5108 8848 8939 10216 17878 20432 35756 71512 100883 143024 178169 201766 356338 403532 706181 712676 807064 1247183 1412362 1425352 1614128 2494366 2824724 2850704 4988732 5649448 9977464 11298896 14075351 19954928 28150702 56301404 98527457 112602808 197054914 225205616 227521813 394109828 455043626 788219656 910087252 1576439312 1592652691 1820174504 3185305382 3640349008 6370610764 12741221528 17974223227 25482443056 35948446454 71896892908 125819562589 143793785816 251639125178 287587571632 503278250356 1006556500712 2013113001424