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1011000120210 = 232517449643781
BaseRepresentation
bin11101011011001000100…
…11011001001110010010
310120122120100002102121200
432231210103121032102
5113031012012321320
62052240321132030
7133020345142233
oct16554423311622
93518510072550
101011000120210
1135a843236033
12143b31a8a016
137444c235b02
1436d0b34908a
151b47232b290
hexeb644d9392

1011000120210 has 48 divisors (see below), whose sum is σ = 2628755040600. Its totient is φ = 269584162560.

The previous prime is 1011000120199. The next prime is 1011000120233. The reversal of 1011000120210 is 120210001101.

It is a happy number.

1011000120210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1005248869641 + 5751250569 = 1002621^2 + 75837^2 .

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 = 1011000120192 and 1011000120201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248520 + ... + 1892300.

Almost surely, 21011000120210 is an apocalyptic number.

1011000120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011000120210 is an abundant number, since it is smaller than the sum of its proper divisors (1617754920390).

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

1011000120210 is a wasteful number, since it uses less digits than its factorization.

1011000120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661243 (or 661240 counting only the distinct ones).

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

Adding to 1011000120210 its reverse (120210001101), we get a palindrome (1131210121311).

The spelling of 1011000120210 in words is "one trillion, eleven billion, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 17449 34898 52347 87245 104694 157041 174490 261735 314082 523470 643781 785205 1287562 1570410 1931343 3218905 3862686 5794029 6437810 9656715 11588058 19313430 28970145 57940290 11233334669 22466669338 33700004007 56166673345 67400008014 101100012021 112333346690 168500020035 202200024042 337000040070 505500060105 1011000120210