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100020300123210 = 235891071091320899
BaseRepresentation
bin10110101111011111001010…
…011101011000110001001010
3111010010211212200120122011220
4112233133022131120301022
5101102213033312420320
6552420405212502510
730032141164301025
oct2657371235306112
9433124780518156
10100020300123210
1129962409994205
12b27473017aa36
1343a6b48a6277c
141a9b018d001bc
15b86b56a70e40
hex5af7ca758c4a

100020300123210 has 128 divisors (see below), whose sum is σ = 245239892352000. Its totient is φ = 26101894663680.

The previous prime is 100020300123203. The next prime is 100020300123217. The reversal of 100020300123210 is 12321003020001.

It is an interprime number because it is at equal distance from previous prime (100020300123203) and next prime (100020300123217).

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 100020300123210.

It is not an unprimeable number, because it can be changed into a prime (100020300123217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311527341 + ... + 311848239.

It is an arithmetic number, because the mean of its divisors is an integer number (1915936659000).

Almost surely, 2100020300123210 is an apocalyptic number.

100020300123210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100020300123210 is an abundant number, since it is smaller than the sum of its proper divisors (145219592228790).

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

100020300123210 is a wasteful number, since it uses less digits than its factorization.

100020300123210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322196.

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

Adding to 100020300123210 its reverse (12321003020001), we get a palindrome (112341303143211).

The spelling of 100020300123210 in words is "one hundred trillion, twenty billion, three hundred million, one hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 89 107 178 214 267 321 445 534 535 642 890 1070 1091 1335 1605 2182 2670 3210 3273 5455 6546 9523 10910 16365 19046 28569 32730 47615 57138 95230 97099 116737 142845 194198 233474 285690 291297 320899 350211 485495 582594 583685 641798 700422 962697 970990 1167370 1456485 1604495 1751055 1925394 2912970 3208990 3502110 4813485 9626970 10389593 20779186 28560011 31168779 34336193 51947965 57120022 62337558 68672386 85680033 103008579 103895930 142800055 155843895 171360066 171680965 206017158 285600110 311687790 343361930 350100809 428400165 515042895 700201618 856800330 1030085790 1050302427 1750504045 2100604854 3055921177 3501008090 5251512135 6111842354 9167763531 10503024270 15279605885 18335527062 30559211770 31158972001 37460786563 45838817655 62317944002 74921573126 91677635310 93476916003 112382359689 155794860005 186953832006 187303932815 224764719378 311589720010 374607865630 467384580015 561911798445 934769160030 1123823596890 3334010004107 6668020008214 10002030012321 16670050020535 20004060024642 33340100041070 50010150061605 100020300123210