Base | Representation |
---|---|
bin | 10111001100011100011001… |
… | …110110101000101011100100 |
3 | 111101012002011101000200102100 |
4 | 113030130121312220223210 |
5 | 101332313343203000400 |
6 | 1000542501224012100 |
7 | 30325664621206662 |
oct | 2714343166505344 |
9 | 441162141020370 |
10 | 102010202000100 |
11 | 2a55a3136a06a9 |
12 | b536316301030 |
13 | 44bc6a01a2264 |
14 | 1b2946a5a7c32 |
15 | bbd7bd25c100 |
hex | 5cc719da8ae4 |
102010202000100 has 81 divisors (see below), whose sum is σ = 319746260676297. Its totient is φ = 27202639733280.
The previous prime is 102010202000039. The next prime is 102010202000129. The reversal of 102010202000100 is 1000202010201.
The square root of 102010202000100 is 10100010.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 36723672720036 + 65286529280064 = 6060006^2 + 8080008^2 .
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 26 ways as a sum of consecutive naturals, for example, 302831967 + ... + 303168633.
Almost surely, 2102010202000100 is an apocalyptic number.
102010202000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
102010202000100 is the 10100010-th square number.
It is an amenable number.
102010202000100 is an abundant number, since it is smaller than the sum of its proper divisors (217736058676197).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102010202000100 is an frugal number, since it uses more digits than its factorization.
102010202000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 673354 (or 336677 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 102010202000100 its reverse (1000202010201), we get a palindrome (103010404010301).
The spelling of 102010202000100 in words is "one hundred two trillion, ten billion, two hundred two million, one hundred", and thus it is an aban number.
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