Search a number
-
+
1012220213202 = 234113118323381
BaseRepresentation
bin11101011101011010000…
…01101011011111010010
310120202201100220120120000
432232231001223133102
5113041011333310302
62053001344030430
7133062521564532
oct16565501533722
93522640816500
101012220213202
11360309a15a50
12144212602416
13745b4c43b23
1436dc53c94c2
151b4e44d531c
hexebad06b7d2

1012220213202 has 80 divisors (see below), whose sum is σ = 2554132863744. Its totient is φ = 296838756000.

The previous prime is 1012220213167. The next prime is 1012220213227. The reversal of 1012220213202 is 2023120222101.

1012220213202 is a `hidden beast` number, since 101 + 2 + 220 + 21 + 320 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 9106449 + ... + 9216932.

Almost surely, 21012220213202 is an apocalyptic number.

1012220213202 is an abundant number, since it is smaller than the sum of its proper divisors (1541912650542).

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

1012220213202 is a wasteful number, since it uses less digits than its factorization.

1012220213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18323437 (or 18323428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1012220213202 its reverse (2023120222101), we get a palindrome (3035340435303).

The spelling of 1012220213202 in words is "one trillion, twelve billion, two hundred twenty million, two hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 558 594 682 837 891 1023 1674 1782 2046 2511 3069 5022 6138 9207 18414 27621 55242 18323381 36646762 54970143 109940286 164910429 201557191 329820858 403114382 494731287 568024811 604671573 989462574 1136049622 1209343146 1484193861 1704074433 1814014719 2968387722 3408148866 3628029438 5112223299 5442044157 6248272921 10224446598 10884088314 12496545842 15336669897 16326132471 18744818763 30673339794 32652264942 37489637526 46010009691 56234456289 92020019382 112468912578 168703368867 337406737734 506110106601 1012220213202