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1122401142 = 2323711811427
BaseRepresentation
bin100001011100110…
…0111101101110110
32220012222212220200
41002321213231312
54244313314032
6303212541330
736546152352
oct10271475566
92805885820
101122401142
11526625655
12273a81846
1314b6c4cb5
14a90d0462
156880d47c
hex42e67b76

1122401142 has 48 divisors (see below), whose sum is σ = 2501461872. Its totient is φ = 363458880.

The previous prime is 1122401141. The next prime is 1122401153. The reversal of 1122401142 is 2411042211.

1122401142 is a `hidden beast` number, since 1 + 122 + 401 + 142 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122401141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785833 + ... + 787259.

It is an arithmetic number, because the mean of its divisors is an integer number (52113789).

Almost surely, 21122401142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122401142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250730936).

1122401142 is an abundant number, since it is smaller than the sum of its proper divisors (1379060730).

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

1122401142 is a wasteful number, since it uses less digits than its factorization.

1122401142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1122401142 is about 33502.2557747982. The cubic root of 1122401142 is about 1039.2404284880.

Adding to 1122401142 its reverse (2411042211), we get a palindrome (3533443353).

The spelling of 1122401142 in words is "one billion, one hundred twenty-two million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1181 1427 2362 2854 3543 4281 7086 8562 10629 12843 21258 25686 43697 52799 87394 105598 131091 158397 262182 316794 393273 475191 786546 950382 1685287 3370574 5055861 10111722 15167583 30335166 62355619 124711238 187066857 374133714 561200571 1122401142