Search a number
-
+
1133211312234 = 23529148354217
BaseRepresentation
bin10000011111011000101…
…010000110000001101010
311000100000110000020100000
4100133120222012001222
5122031304043442414
62224331243123430
7144605014136511
oct20373052060152
94010013006300
101133211312234
113a7657274481
1216375a213576
1382b2756cb11
143cbc2203678
151e7264aeb09
hex107d8a8606a

1133211312234 has 96 divisors (see below), whose sum is σ = 2635853613120. Its totient is φ = 364459036032.

The previous prime is 1133211312143. The next prime is 1133211312239. The reversal of 1133211312234 is 4322131123311.

1133211312234 is a `hidden beast` number, since 1 + 1 + 3 + 321 + 1 + 312 + 23 + 4 = 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 = 1133211312198 and 1133211312207.

It is not an unprimeable number, because it can be changed into a prime (1133211312239) 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 47 ways as a sum of consecutive naturals, for example, 20874294 + ... + 20928510.

It is an arithmetic number, because the mean of its divisors is an integer number (27456808470).

Almost surely, 21133211312234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133211312234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317926806560).

1133211312234 is an abundant number, since it is smaller than the sum of its proper divisors (1502642300886).

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

1133211312234 is a wasteful number, since it uses less digits than its factorization.

1133211312234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55746 (or 55734 counting only the distinct ones).

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

Adding to 1133211312234 its reverse (4322131123311), we get a palindrome (5455342435545).

The spelling of 1133211312234 in words is "one trillion, one hundred thirty-three billion, two hundred eleven million, three hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1483 1566 2349 2966 4449 4698 7047 8898 13347 14094 26694 40041 43007 54217 80082 86014 108434 120123 129021 162651 240246 258042 325302 360369 387063 487953 720738 774126 975906 1161189 1463859 1572293 2322378 2927718 3144586 3483567 4391577 4716879 6967134 8783154 9433758 10450701 13174731 14150637 20901402 26349462 28301274 42451911 80403811 84903822 127355733 160807622 241211433 254711466 382067199 482422866 723634299 764134398 1447268598 2170902897 2331710519 4341805794 4663421038 6512708691 6995131557 13025417382 13990263114 19538126073 20985394671 39076252146 41970789342 62956184013 125912368026 188868552039 377737104078 566605656117 1133211312234