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1000303212120 = 2335194110700719
BaseRepresentation
bin11101000111001101011…
…01111011011001011000
310112121221211222012022120
432203212231323121120
5112342110110241440
62043311041221240
7132161306004252
oct16434655733130
93477854865276
101000303212120
113562540a3723
12141a47631820
137343604c6b4
14365b4814cd2
151b0481abdd0
hexe8e6b7b658

1000303212120 has 128 divisors (see below), whose sum is σ = 3235897728000. Its totient is φ = 246544542720.

The previous prime is 1000303212049. The next prime is 1000303212137. The reversal of 1000303212120 is 212123030001.

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 1000303212120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5256880 + ... + 5443839.

It is an arithmetic number, because the mean of its divisors is an integer number (25280451000).

Almost surely, 21000303212120 is an apocalyptic number.

1000303212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000303212120 is an abundant number, since it is smaller than the sum of its proper divisors (2235594515880).

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

1000303212120 is a wasteful number, since it uses less digits than its factorization.

1000303212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700793 (or 10700789 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1000303212120 its reverse (212123030001), we get a palindrome (1212426242121).

The spelling of 1000303212120 in words is "one trillion, three hundred three million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 41 57 60 76 82 95 114 120 123 152 164 190 205 228 246 285 328 380 410 456 492 570 615 760 779 820 984 1140 1230 1558 1640 2280 2337 2460 3116 3895 4674 4920 6232 7790 9348 11685 15580 18696 23370 31160 46740 93480 10700719 21401438 32102157 42802876 53503595 64204314 85605752 107007190 128408628 160510785 203313661 214014380 256817256 321021570 406627322 428028760 438729479 609940983 642043140 813254644 877458958 1016568305 1219881966 1284086280 1316188437 1626509288 1754917916 2033136610 2193647395 2439763932 2632376874 3049704915 3509835832 4066273220 4387294790 4879527864 5264753748 6099409830 6580942185 8132546440 8335860101 8774589580 10529507496 12198819660 13161884370 16671720202 17549179160 24397639320 25007580303 26323768740 33343440404 41679300505 50015160606 52647537480 66686880808 83358601010 100030321212 125037901515 166717202020 200060642424 250075803030 333434404040 500151606060 1000303212120