Search a number
-
+
1000001220210 = 23359739239733
BaseRepresentation
bin11101000110101001011…
…01111010111001110010
310112121011210201102022000
432203110231322321302
5112341000303021320
62043221052354430
7132150651060336
oct16432455727162
93477153642260
101000001220210
11356109689733
12141982475a16
13733b8605065
14365866837c6
151b02b907c90
hexe8d4b7ae72

1000001220210 has 128 divisors (see below), whose sum is σ = 2695125000960. Its totient is φ = 263823464448.

The previous prime is 1000001220209. The next prime is 1000001220223. The reversal of 1000001220210 is 120221000001.

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 = 1000001220192 and 1000001220201.

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 63 ways as a sum of consecutive naturals, for example, 102738504 + ... + 102748236.

It is an arithmetic number, because the mean of its divisors is an integer number (21055664070).

Almost surely, 21000001220210 is an apocalyptic number.

1000001220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000001220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347562500480).

1000001220210 is an abundant number, since it is smaller than the sum of its proper divisors (1695123780750).

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

1000001220210 is a wasteful number, since it uses less digits than its factorization.

1000001220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13763 counting only the distinct ones).

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

Adding to 1000001220210 its reverse (120221000001), we get a palindrome (1120222220211).

The spelling of 1000001220210 in words is "one trillion, one million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1455 1746 2619 2910 3923 4365 5238 7846 8730 9733 11769 13095 19466 19615 23538 26190 29199 35307 39230 48665 58398 58845 70614 87597 97330 105921 117690 145995 175194 176535 211842 262791 291990 353070 380531 437985 525582 529605 761062 875970 944101 1059210 1141593 1313955 1888202 1902655 2283186 2627910 2832303 3424779 3805310 4720505 5664606 5707965 6849558 8496909 9441010 10274337 11415930 14161515 16993818 17123895 20548674 25490727 28323030 34247790 38182559 42484545 50981454 51371685 76365118 84969090 102743370 114547677 127453635 190912795 229095354 254907270 343643031 381825590 572738385 687286062 1030929093 1145476770 1718215155 2061858186 3436430310 3703708223 5154645465 7407416446 10309290930 11111124669 18518541115 22222249338 33333374007 37037082230 55555623345 66666748014 100000122021 111111246690 166666870035 200000244042 333333740070 500000610105 1000001220210