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13212254131040 = 2553471505315809
BaseRepresentation
bin1100000001000011011110…
…1101101101001101100000
31201210002010201002120101002
43000100313231231031200
53212432144024143130
644033343055131132
72532360655061066
oct300206755551540
951702121076332
1013212254131040
114234316017a18
121594759213aa8
1374abaa999bb3
14339695798036
1517da33829b45
hexc0437b6d360

13212254131040 has 96 divisors (see below), whose sum is σ = 31307963974560. Its totient is φ = 5268988002304.

The previous prime is 13212254131003. The next prime is 13212254131057. The reversal of 13212254131040 is 4013145221231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13212254130994 and 13212254131012.

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, 835734656 + ... + 835750464.

It is an arithmetic number, because the mean of its divisors is an integer number (326124624735).

Almost surely, 213212254131040 is an apocalyptic number.

13212254131040 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 13212254131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653981987280).

13212254131040 is an abundant number, since it is smaller than the sum of its proper divisors (18095709843520).

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

13212254131040 is a wasteful number, since it uses less digits than its factorization.

13212254131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31224 (or 31216 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 13212254131040 its reverse (4013145221231), we get a palindrome (17225399352271).

The spelling of 13212254131040 in words is "thirteen trillion, two hundred twelve billion, two hundred fifty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 347 694 1388 1735 2776 3470 5552 6940 11104 13880 15053 15809 27760 30106 31618 55520 60212 63236 75265 79045 120424 126472 150530 158090 240848 252944 301060 316180 481696 505888 602120 632360 1204240 1264720 2408480 2529440 5223391 5485723 10446782 10971446 20893564 21942892 26116955 27428615 41787128 43885784 52233910 54857230 83574256 87771568 104467820 109714460 167148512 175543136 208935640 219428920 237972877 417871280 438857840 475945754 835742560 877715680 951891508 1189864385 1903783016 2379728770 3807566032 4759457540 7615132064 9518915080 19037830160 38075660320 82576588319 165153176638 330306353276 412882941595 660612706552 825765883190 1321225413104 1651531766380 2642450826208 3303063532760 6606127065520 13212254131040