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1001110020210 = 232561318145913
BaseRepresentation
bin11101001000101101100…
…11101010000001110010
310112201001002010021221200
432210112303222001302
5112400233131121320
62043523102032030
7132220303524366
oct16442663520162
93481032107850
101001110020210
11356628564573
12142031878616
1373534247331
143664da332a6
151b093e2b290
hexe916cea072

1001110020210 has 48 divisors (see below), whose sum is σ = 2607132339864. Its totient is φ = 266527155456.

The previous prime is 1001110020199. The next prime is 1001110020217. The reversal of 1001110020210 is 120200111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 669047110209 + 332062910001 = 817953^2 + 576249^2 .

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 = 1001110020192 and 1001110020201.

It is not an unprimeable number, because it can be changed into a prime (1001110020217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9017787 + ... + 9128126.

Almost surely, 21001110020210 is an apocalyptic number.

1001110020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001110020210 is an abundant number, since it is smaller than the sum of its proper divisors (1606022319654).

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

1001110020210 is a wasteful number, since it uses less digits than its factorization.

1001110020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18146539 (or 18146536 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001110020210 its reverse (120200111001), we get a palindrome (1121310131211).

The spelling of 1001110020210 in words is "one trillion, one billion, one hundred ten million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 613 1226 1839 3065 3678 5517 6130 9195 11034 18390 27585 55170 18145913 36291826 54437739 90729565 108875478 163313217 181459130 272188695 326626434 544377390 816566085 1633132170 11123444669 22246889338 33370334007 55617223345 66740668014 100111002021 111234446690 166851670035 200222004042 333703340070 500555010105 1001110020210