Search a number
-
+
1020200102110 = 257431013355811
BaseRepresentation
bin11101101100010001010…
…10100010100011011110
310121112022111110221020001
432312020222202203132
5113203332211231420
62100401244444514
7133464336534010
oct16661052424336
93545274427201
101020200102110
113637343a7662
1214587ab4973a
1375287265097
143754113a1b0
151b80ed5bb0a
hexed88aa28de

1020200102110 has 64 divisors (see below), whose sum is σ = 2168767332864. Its totient is φ = 338265648000.

The previous prime is 1020200102107. The next prime is 1020200102111. The reversal of 1020200102110 is 112010020201.

1020200102110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020200102111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373896 + ... + 1981915.

It is an arithmetic number, because the mean of its divisors is an integer number (33886989576).

Almost surely, 21020200102110 is an apocalyptic number.

1020200102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020200102110 is an abundant number, since it is smaller than the sum of its proper divisors (1148567230754).

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

1020200102110 is a wasteful number, since it uses less digits than its factorization.

1020200102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355969.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020200102110 its reverse (112010020201), we get a palindrome (1132210122311).

The spelling of 1020200102110 in words is "one trillion, twenty billion, two hundred million, one hundred two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 101 202 215 301 430 505 602 707 1010 1414 1505 3010 3535 4343 7070 8686 21715 30401 43430 60802 152005 304010 3355811 6711622 16779055 23490677 33558110 46981354 117453385 144299873 234906770 288599746 338936911 677873822 721499365 1010099111 1442998730 1694684555 2020198222 2372558377 3389369110 4745116754 5050495555 10100991110 11862791885 14574287173 23725583770 29148574346 72871435865 102020010211 145742871730 204040020422 510100051055 1020200102110