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13434012020 = 225111310146507
BaseRepresentation
bin11001000001011101…
…01100000101110100
31021200020110112000202
430200232230011310
5210003101341040
610101013300032
7653623134542
oct144056540564
937606415022
1013434012020
115774171080
12272b034618
131361291450
14916264d92
155395d3015
hex320bac174

13434012020 has 96 divisors (see below), whose sum is σ = 33472365696. Its totient is φ = 4464576000.

The previous prime is 13434012019. The next prime is 13434012029. The reversal of 13434012020 is 2021043431.

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 = 13434011983 and 13434012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434012029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265607 + ... + 312113.

It is an arithmetic number, because the mean of its divisors is an integer number (348670476).

Almost surely, 213434012020 is an apocalyptic number.

13434012020 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 13434012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736182848).

13434012020 is an abundant number, since it is smaller than the sum of its proper divisors (20038353676).

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

13434012020 is a wasteful number, since it uses less digits than its factorization.

13434012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46641 (or 46639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13434012020 its reverse (2021043431), we get a palindrome (15455055451).

The spelling of 13434012020 in words is "thirteen billion, four hundred thirty-four million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 1010 1111 1313 1430 2020 2222 2626 2860 4444 5252 5555 6565 11110 13130 14443 22220 26260 28886 46507 57772 72215 93014 144430 186028 232535 288860 465070 511577 604591 930140 1023154 1209182 2046308 2418364 2557885 3022955 4697207 5115770 6045910 6650501 9394414 10231540 12091820 13301002 18788828 23486035 26602004 33252505 46972070 51669277 61063691 66505010 93944140 103338554 122127382 133010020 206677108 244254764 258346385 305318455 516692770 610636910 671700601 1033385540 1221273820 1343401202 2686802404 3358503005 6717006010 13434012020