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1321001242040 = 235195964345817
BaseRepresentation
bin10011001110010001110…
…011110100110110111000
311200021201211220002100102
4103032101303310312320
5133120402304221130
62450505401054532
7164303433201314
oct23162163646670
94607654802312
101321001242040
1146a262843177
12194028787448
139775405568c
1447d18822b44
1524567a1a645
hex13391cf4db8

1321001242040 has 128 divisors (see below), whose sum is σ = 3186733536000. Its totient is φ = 491329317888.

The previous prime is 1321001242013. The next prime is 1321001242051. The reversal of 1321001242040 is 402421001231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 28809212 + ... + 28855028.

It is an arithmetic number, because the mean of its divisors is an integer number (24896355750).

Almost surely, 21321001242040 is an apocalyptic number.

1321001242040 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 1321001242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593366768000).

1321001242040 is an abundant number, since it is smaller than the sum of its proper divisors (1865732293960).

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

1321001242040 is a wasteful number, since it uses less digits than its factorization.

1321001242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46549 (or 46545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1321001242040 its reverse (402421001231), we get a palindrome (1723422243271).

The spelling of 1321001242040 in words is "one trillion, three hundred twenty-one billion, one million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 59 76 95 118 152 190 236 295 380 472 590 643 760 1121 1180 1286 2242 2360 2572 3215 4484 5144 5605 6430 8968 11210 12217 12860 22420 24434 25720 37937 44840 45817 48868 61085 75874 91634 97736 122170 151748 183268 189685 229085 244340 303496 366536 379370 458170 488680 720803 758740 870523 916340 1441606 1517480 1741046 1832680 2703203 2883212 3482092 3604015 4352615 5406406 5766424 6964184 7208030 8705230 10812812 13516015 14416060 17410460 21625624 27032030 28832120 29460331 34820920 51360857 54064060 58920662 102721714 108128120 117841324 147301655 205443428 235682648 256804285 294603310 410886856 513608570 559746289 589206620 1027217140 1119492578 1178413240 1738159529 2054434280 2238985156 2798731445 3476319058 4477970312 5597462890 6952638116 8690797645 11194925780 13905276232 17381595290 22389851560 33025031051 34763190580 66050062102 69526381160 132100124204 165125155255 264200248408 330250310510 660500621020 1321001242040