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10001002020210 = 233551537188191
BaseRepresentation
bin1001000110001000101000…
…1011000011110101110010
31022102002100000201011011000
42101202022023003311302
52302324023004121320
633134221421502430
72051356103361105
oct221421213036562
938362300634130
1010001002020210
113206445a076a3
121156317411a16
135771239220a6
142680a024473c
15125237dc2c90
hex9188a2c3d72

10001002020210 has 64 divisors (see below), whose sum is σ = 26674517928960. Its totient is φ = 2666415951360.

The previous prime is 10001002020197. The next prime is 10001002020227. The reversal of 10001002020210 is 1202020010001.

It is a super-3 number, since 3×100010020202103 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001002020192 and 10001002020201.

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, 2202786 + ... + 4985405.

It is an arithmetic number, because the mean of its divisors is an integer number (416789342640).

Almost surely, 210001002020210 is an apocalyptic number.

10001002020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001002020210 is an abundant number, since it is smaller than the sum of its proper divisors (16673515908750).

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

10001002020210 is a wasteful number, since it uses less digits than its factorization.

10001002020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193360 (or 7193354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001002020210 its reverse (1202020010001), we get a palindrome (11203022030211).

The spelling of 10001002020210 in words is "ten trillion, one billion, two million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 5153 10306 15459 25765 30918 46377 51530 77295 92754 139131 154590 231885 278262 463770 695655 1391310 7188191 14376382 21564573 35940955 43129146 64693719 71881910 107822865 129387438 194081157 215645730 323468595 388162314 646937190 970405785 1940811570 37040748223 74081496446 111122244669 185203741115 222244489338 333366734007 370407482230 555611223345 666733468014 1000100202021 1111222446690 1666833670035 2000200404042 3333667340070 5000501010105 10001002020210