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1001320220120 = 2351121006120563
BaseRepresentation
bin11101001001000110101…
…01100000010111011000
310112201120201122120000112
432210203111200113120
5112401200434020440
62044000011223452
7132225435303203
oct16444325402730
93481521576015
101001320220120
11356726183900
12142090147b88
137356896318c
143666d90c93a
151b0a75ec965
hexe9235605d8

1001320220120 has 96 divisors (see below), whose sum is σ = 2476772166960. Its totient is φ = 364062547200.

The previous prime is 1001320220093. The next prime is 1001320220141. The reversal of 1001320220120 is 210220231001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001320220095 and 1001320220104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48684959 + ... + 48705521.

Almost surely, 21001320220120 is an apocalyptic number.

1001320220120 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 1001320220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238386083480).

1001320220120 is an abundant number, since it is smaller than the sum of its proper divisors (1475451946840).

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

1001320220120 is a wasteful number, since it uses less digits than its factorization.

1001320220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30657 (or 30642 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1001320220120 its reverse (210220231001), we get a palindrome (1211540451121).

The spelling of 1001320220120 in words is "one trillion, one billion, three hundred twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 10061 20122 20563 40244 41126 50305 80488 82252 100610 102815 110671 164504 201220 205630 221342 226193 402440 411260 442684 452386 553355 822520 885368 904772 1106710 1130965 1217381 1809544 2213420 2261930 2434762 2488123 4426840 4523860 4869524 4976246 6086905 9047720 9739048 9952492 12173810 12440615 19904984 24347620 24881230 48695240 49762460 99524920 206884343 413768686 827537372 1034421715 1655074744 2068843430 2275727773 4137686860 4551455546 8275373720 9102911092 11378638865 18205822184 22757277730 25033005503 45514555460 50066011006 91029110920 100132022012 125165027515 200264044024 250330055030 500660110060 1001320220120