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1133229042 = 239112617
BaseRepresentation
bin100001110001011…
…1011001111110010
32220222101000000000
41003202323033302
54310101312132
6304241010430
740040200521
oct10342731762
92828330000
101133229042
11531750830
12277623a16
13150a1663a
14aa70c4b8
156974b87c
hex438bb3f2

1133229042 has 80 divisors (see below), whose sum is σ = 2782577952. Its totient is φ = 343271520.

The previous prime is 1133229037. The next prime is 1133229043. The reversal of 1133229042 is 2409223311.

It is a happy number.

1133229042 is a `hidden beast` number, since 1 + 1 + 332 + 290 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1133228997 and 1133229015.

It is not an unprimeable number, because it can be changed into a prime (1133229043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431718 + ... + 434334.

Almost surely, 21133229042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133229042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391288976).

1133229042 is an abundant number, since it is smaller than the sum of its proper divisors (1649348910).

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

1133229042 is an frugal number, since it uses more digits than its factorization.

1133229042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1133229042 is about 33663.4674684590. The cubic root of 1133229042 is about 1042.5716197367.

The spelling of 1133229042 in words is "one billion, one hundred thirty-three million, two hundred twenty-nine thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2187 2617 2673 4374 5234 5346 6561 7851 8019 13122 15702 16038 19683 23553 24057 28787 39366 47106 48114 57574 70659 72171 86361 141318 144342 172722 211977 216513 259083 423954 433026 518166 635931 777249 1271862 1554498 1907793 2331747 3815586 4663494 5723379 6995241 11446758 13990482 17170137 20985723 34340274 41971446 51510411 62957169 103020822 125914338 188871507 377743014 566614521 1133229042