Search a number
-
+
2013403434020 = 22511233571111427
BaseRepresentation
bin11101010011001000001…
…100100100110000100100
321010110221112202211212022
4131103020030210300210
5230441422234342040
64140540023042312
7265315004546126
oct35231014446044
97113845684768
102013403434020
11706974827190
122862648a0398
13117b2b3aa714
146d640a35216
153758ea706b5
hex1d4c8324c24

2013403434020 has 96 divisors (see below), whose sum is σ = 4814459790336. Its totient is φ = 700111843200.

The previous prime is 2013403433971. The next prime is 2013403434121. The reversal of 2013403434020 is 204343043102.

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, 18013547 + ... + 18124973.

It is an arithmetic number, because the mean of its divisors is an integer number (50150622816).

Almost surely, 22013403434020 is an apocalyptic number.

2013403434020 is a gapful number since it is divisible by the number (20) 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 2013403434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407229895168).

2013403434020 is an abundant number, since it is smaller than the sum of its proper divisors (2801056356316).

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

2013403434020 is a wasteful number, since it uses less digits than its factorization.

2013403434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115041 (or 115039 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2013403434020 its reverse (204343043102), we get a palindrome (2217746477122).

The spelling of 2013403434020 in words is "two trillion, thirteen billion, four hundred three million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 3571 5060 7142 14284 17855 35710 39281 71420 78562 82133 111427 157124 164266 196405 222854 328532 392810 410665 445708 557135 785620 821330 903463 1114270 1225697 1642660 1806926 2228540 2451394 2562821 3613852 4517315 4902788 5125642 6128485 9034630 10251284 12256970 12814105 18069260 24513940 25628210 28191031 51256420 56382062 112764124 140955155 281910310 397905817 563820620 795811634 1591623268 1989529085 3979058170 4376963987 7958116340 8753927974 9151833791 17507855948 18303667582 21884819935 36607335164 43769639870 45759168955 87539279740 91518337910 100670171701 183036675820 201340343402 402680686804 503350858505 1006701717010 2013403434020