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100000020003210 = 232537121724675461
BaseRepresentation
bin10110101111001100010001…
…101010110111100110001010
3111010001220112022221210112100
4112233030101222313212022
5101101400020110100320
6552403212555254230
730030522501153525
oct2657142152674612
9433056468853470
10100000020003210
1129954852329958
12b27081044a376
1343a4c6632a972
141a9a05373bbbc
15b8636b421790
hex5af311ab798a

100000020003210 has 96 divisors (see below), whose sum is σ = 267246505470672. Its totient is φ = 25924630487040.

The previous prime is 100000020003167. The next prime is 100000020003227. The reversal of 100000020003210 is 12300020000001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67793634548721 + 32206385454489 = 8233689^2 + 5675067^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100000020003192 and 100000020003201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8285121 + ... + 16390340.

Almost surely, 2100000020003210 is an apocalyptic number.

100000020003210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000020003210 is an abundant number, since it is smaller than the sum of its proper divisors (167246485467462).

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

100000020003210 is a wasteful number, since it uses less digits than its factorization.

100000020003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24676728 (or 24676725 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100000020003210 its reverse (12300020000001), we get a palindrome (112300040003211).

The spelling of 100000020003210 in words is "one hundred trillion, twenty million, three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1217 1665 2434 3330 3651 6085 7302 10953 12170 18255 21906 36510 45029 54765 90058 109530 135087 225145 270174 405261 450290 675435 810522 1350870 2026305 4052610 24675461 49350922 74026383 123377305 148052766 222079149 246754610 370131915 444158298 740263830 912992057 1110395745 1825984114 2220791490 2738976171 4564960285 5477952342 8216928513 9129920570 13694880855 16433857026 27389761710 30030036037 41084642565 60060072074 82169285130 90090108111 150150180185 180180216222 270270324333 300300360370 450450540555 540540648666 900901081110 1111111333369 1351351621665 2222222666738 2702703243330 3333334000107 5555556666845 6666668000214 10000002000321 11111113333690 16666670000535 20000004000642 33333340001070 50000010001605 100000020003210