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1001320111220 = 225113132893487
BaseRepresentation
bin11101001001000110101…
…01000101110001110100
310112201120201110000122012
432210203111011301310
5112401200422024340
62044000005023352
7132225434340542
oct16444325056164
93481521400565
101001320111220
1135672610a000
121420900b4b58
1373568925740
143666d8c0d92
151b0a75ca565
hexe923545c74

1001320111220 has 96 divisors (see below), whose sum is σ = 2490807062016. Its totient is φ = 336107333760.

The previous prime is 1001320111111. The next prime is 1001320111237. The reversal of 1001320111220 is 221110231001.

It is a junction number, because it is equal to n+sod(n) for n = 1001320111195 and 1001320111204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100684 + ... + 1792803.

It is an arithmetic number, because the mean of its divisors is an integer number (25945906896).

Almost surely, 21001320111220 is an apocalyptic number.

1001320111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001320111220 is an abundant number, since it is smaller than the sum of its proper divisors (1489486950796).

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

1001320111220 is a wasteful number, since it uses less digits than its factorization.

1001320111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893542 (or 2893518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1001320111220 its reverse (221110231001), we get a palindrome (1222430342221).

The spelling of 1001320111220 in words is "one trillion, one billion, three hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1331 1430 1573 2420 2662 2860 3146 5324 6292 6655 7865 13310 15730 17303 26620 31460 34606 69212 86515 173030 346060 2893487 5786974 11573948 14467435 28934870 31828357 37615331 57869740 63656714 75230662 127313428 150461324 159141785 188076655 318283570 350111927 376153310 413768641 636567140 700223854 752306620 827537282 1400447708 1655074564 1750559635 2068843205 3501119270 3851231197 4137686410 4551455051 7002238540 7702462394 8275372820 9102910102 15404924788 18205820204 19256155985 22757275255 38512311970 45514550510 50066005561 77024623940 91029101020 100132011122 200264022244 250330027805 500660055610 1001320111220