Search a number
-
+
1131322010202 = 232375473105451
BaseRepresentation
bin10000011101101000000…
…010111110101001011010
311000011010202221202011200
4100131220002332221122
5122013421413311302
62223415552535030
7144510133264356
oct20355002765132
94004122852150
101131322010202
113a687786593a
12163311551476
13828b6013717
143ca83322466
151e6656b681c
hex107680bea5a

1131322010202 has 48 divisors (see below), whose sum is σ = 2522049365472. Its totient is φ = 366244351200.

The previous prime is 1131322010191. The next prime is 1131322010207. The reversal of 1131322010202 is 2020102231311.

1131322010202 is a `hidden beast` number, since 1 + 131 + 322 + 0 + 10 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1131322010207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188424 + ... + 1917027.

It is an arithmetic number, because the mean of its divisors is an integer number (52542695114).

Almost surely, 21131322010202 is an apocalyptic number.

1131322010202 is an abundant number, since it is smaller than the sum of its proper divisors (1390727355270).

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

1131322010202 is a wasteful number, since it uses less digits than its factorization.

1131322010202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106043 (or 3106040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1131322010202 its reverse (2020102231311), we get a palindrome (3151424241513).

The spelling of 1131322010202 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-two million, ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 547 666 1094 1641 3282 4923 9846 20239 40478 60717 121434 182151 364302 3105451 6210902 9316353 18632706 27949059 55898118 114901687 229803374 344705061 689410122 1034115183 1698681697 2068230366 3397363394 5096045091 10192090182 15288135273 30576270546 62851222789 125702445578 188553668367 377107336734 565661005101 1131322010202