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1001110010202 = 23441293514417
BaseRepresentation
bin11101001000101101100…
…11100111100101011010
310112201001002002210020000
432210112303213211122
5112400233130311302
62043523101513430
7132220303453251
oct16442663474532
93481032083200
101001110010202
11356628557aa5
12142031872876
1373534242903
143664da2d798
151b093e2831c
hexe916ce795a

1001110010202 has 80 divisors (see below), whose sum is σ = 2305788147432. Its totient is φ = 324452459520.

The previous prime is 1001110010189. The next prime is 1001110010213. The reversal of 1001110010202 is 2020100111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 685300853241 + 315809156961 = 827829^2 + 561969^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1688898 + ... + 2203314.

Almost surely, 21001110010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001110010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152894073716).

1001110010202 is an abundant number, since it is smaller than the sum of its proper divisors (1304678137230).

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

1001110010202 is a wasteful number, since it uses less digits than its factorization.

1001110010202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514765 (or 514756 counting only the distinct ones).

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

Adding to 1001110010202 its reverse (2020100111001), we get a palindrome (3021210121203).

The spelling of 1001110010202 in words is "one trillion, one billion, one hundred ten million, ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 293 369 586 738 879 1107 1758 2214 2637 3321 5274 6642 7911 12013 15822 23733 24026 36039 47466 72078 108117 216234 324351 514417 648702 973053 1028834 1543251 1946106 3086502 4629753 9259506 13889259 21091097 27778518 41667777 42182194 63273291 83335554 126546582 150724181 189819873 301448362 379639746 452172543 569459619 904345086 1138919238 1356517629 1708378857 2713035258 3416757714 4069552887 6179691421 8139105774 12208658661 12359382842 18539074263 24417317322 37078148526 55617222789 111234445578 166851668367 333703336734 500555005101 1001110010202