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1020021000210 = 232529693817301
BaseRepresentation
bin11101101011111011111…
…11010100100000010010
310121111212000110121121100
432311331333110200102
5113203000334001320
62100331410005230
7133460033306022
oct16657577244022
93544760417540
101020021000210
11363652298763
1214582ab76816
1375259116c24
1437525437a82
151b7ee27e790
hexed7dfd4812

1020021000210 has 48 divisors (see below), whose sum is σ = 2652948543960. Its totient is φ = 271913913600.

The previous prime is 1020021000209. The next prime is 1020021000263. The reversal of 1020021000210 is 120001200201.

It can be written as a sum of positive squares in 4 ways, for example, as 506959664121 + 513061336089 = 712011^2 + 716283^2 .

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 = 1020021000192 and 1020021000201.

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 23 ways as a sum of consecutive naturals, for example, 1641441 + ... + 2175860.

Almost surely, 21020021000210 is an apocalyptic number.

1020021000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020021000210 is an abundant number, since it is smaller than the sum of its proper divisors (1632927543750).

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

1020021000210 is a wasteful number, since it uses less digits than its factorization.

1020021000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820283 (or 3820280 counting only the distinct ones).

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

Adding to 1020021000210 its reverse (120001200201), we get a palindrome (1140022200411).

The spelling of 1020021000210 in words is "one trillion, twenty billion, twenty-one million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2969 5938 8907 14845 17814 26721 29690 44535 53442 89070 133605 267210 3817301 7634602 11451903 19086505 22903806 34355709 38173010 57259515 68711418 114519030 171778545 343557090 11333566669 22667133338 34000700007 56667833345 68001400014 102002100021 113335666690 170003500035 204004200042 340007000070 510010500105 1020021000210