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1003221221100 = 2235271925143389
BaseRepresentation
bin11101001100101001010…
…01001111111011101100
310112220111012201102010020
432212110221033323230
5112414044113033400
62044512400242140
7132323520452130
oct16462451177354
93486435642106
101003221221100
11357511252a9a
12142520910350
13737ac757527
14367b01973c0
151b1694572a0
hexe994a4feec

1003221221100 has 144 divisors (see below), whose sum is σ = 3491914003200. Its totient is φ = 217238872320.

The previous prime is 1003221221089. The next prime is 1003221221113. The reversal of 1003221221100 is 11221223001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003221221100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12531795 + ... + 12611594.

It is an arithmetic number, because the mean of its divisors is an integer number (24249402800).

Almost surely, 21003221221100 is an apocalyptic number.

1003221221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003221221100 is an abundant number, since it is smaller than the sum of its proper divisors (2488692782100).

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

1003221221100 is a wasteful number, since it uses less digits than its factorization.

1003221221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25143432 (or 25143425 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1003221221100 its reverse (11221223001), we get a palindrome (1014442444101).

The spelling of 1003221221100 in words is "one trillion, three billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 25143389 50286778 75430167 100573556 125716945 150860334 176003723 251433890 301720668 352007446 377150835 477724391 502867780 528011169 628584725 704014892 754301670 880018615 955448782 1056022338 1257169450 1433173173 1508603340 1760037230 1885754175 1910897564 2112044676 2388621955 2514338900 2640055845 2866346346 3344070737 3520074460 3771508350 4400093075 4777243910 5280111690 5732692692 6688141474 7165865865 7543016700 8800186150 9554487820 10032212211 10560223380 11943109775 13200279225 13376282948 14331731730 16720353685 17600372300 20064424422 23886219550 26400558450 28663463460 33440707370 35829329325 40128848844 47772439100 50161061055 52801116900 66881414740 71658658650 83601768425 100322122110 143317317300 167203536850 200644244220 250805305275 334407073700 501610610550 1003221221100