Search a number
-
+
1011020202114 = 231361263807941
BaseRepresentation
bin11101011011001011000…
…00000000000010000010
310120122121201212200210220
432231211200000002002
5113031032132431424
62052242315403510
7133021010632116
oct16554540000202
93518551780726
101011020202114
1135a85360194a
12143b38753596
13744534475b0
1436d0dc95746
151b473e96579
hexeb65800082

1011020202114 has 64 divisors (see below), whose sum is σ = 2221698302208. Its totient is φ = 304819603200.

The previous prime is 1011020202043. The next prime is 1011020202119. The reversal of 1011020202114 is 4112020201101.

It is a junction number, because it is equal to n+sod(n) for n = 1011020202093 and 1011020202102.

It is not an unprimeable number, because it can be changed into a prime (1011020202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847384 + ... + 1655324.

It is an arithmetic number, because the mean of its divisors is an integer number (34714035972).

Almost surely, 21011020202114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011020202114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110849151104).

1011020202114 is an abundant number, since it is smaller than the sum of its proper divisors (1210678100094).

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

1011020202114 is a wasteful number, since it uses less digits than its factorization.

1011020202114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808283.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1011020202114 its reverse (4112020201101), we get a palindrome (5123040403215).

The spelling of 1011020202114 in words is "one trillion, eleven billion, twenty million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 263 366 526 789 793 1578 1586 2379 3419 4758 6838 10257 16043 20514 32086 48129 96258 208559 417118 625677 807941 1251354 1615882 2423823 4847646 10503233 21006466 31509699 49284401 63019398 98568802 147853203 212488483 295706406 424976966 637465449 640697213 1274930898 1281394426 1922091639 2762350279 3844183278 5524700558 8287050837 12961797463 16574101674 25923594926 38885392389 77770784778 168503367019 337006734038 505510101057 1011020202114