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2051321311240 = 2353776912171481
BaseRepresentation
bin11101110110011100010…
…001110011000000001000
321021002211002221120212021
4131312130101303000020
5232102101223424430
64210210342454224
7301126440311125
oct35663421630010
97232732846767
102051321311240
11720a624475a3
12291687434374
1311b591c91266
14713da88b74c
153855d87207a
hex1dd9c473008

2051321311240 has 128 divisors (see below), whose sum is σ = 4753487138400. Its totient is φ = 796120842240.

The previous prime is 2051321311187. The next prime is 2051321311283. The reversal of 2051321311240 is 421131231502.

It can be written as a sum of positive squares in 16 ways, for example, as 274682906404 + 1776638404836 = 524102^2 + 1332906^2 .

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, 1385091300 + ... + 1385092780.

Almost surely, 22051321311240 is an apocalyptic number.

2051321311240 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 2051321311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376743569200).

2051321311240 is an abundant number, since it is smaller than the sum of its proper divisors (2702165827160).

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

2051321311240 is a wasteful number, since it uses less digits than its factorization.

2051321311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 2051321311240 its reverse (421131231502), we get a palindrome (2472452542742).

The spelling of 2051321311240 in words is "two trillion, fifty-one billion, three hundred twenty-one million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 769 1217 1480 1481 1538 2434 2962 3076 3845 4868 5924 6085 6152 7405 7690 9736 11848 12170 14810 15380 24340 28453 29620 30760 45029 48680 54797 56906 59240 90058 109594 113812 142265 180116 219188 225145 227624 273985 284530 360232 438376 450290 547970 569060 900580 935873 1095940 1138120 1138889 1801160 1802377 1871746 2191880 2277778 3604754 3743492 4555556 4679365 5694445 7209508 7486984 9011885 9111112 9358730 11388890 14419016 18023770 18717460 22777780 34627301 36047540 37434920 42138893 45555560 66687949 69254602 72095080 84277786 133375898 138509204 168555572 173136505 210694465 266751796 277018408 333439745 337111144 346273010 421388930 533503592 666879490 692546020 842777860 1333758980 1385092040 1386027913 1685555720 2667517960 2772055826 5544111652 6930139565 11088223304 13860279130 27720558260 51283032781 55441116520 102566065562 205132131124 256415163905 410264262248 512830327810 1025660655620 2051321311240