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1133122333232 = 241783137443827
BaseRepresentation
bin10000011111010011010…
…110101010101000110000
311000022210020120122002102
4100133103112222220300
5122031113304130412
62224314344035532
7144602553625511
oct20372326525060
94008706518072
101133122333232
113a761102020a
12163734462ba8
1382b11cb7816
143cbb4480a08
151e71d7858c2
hex107d35aaa30

1133122333232 has 160 divisors (see below), whose sum is σ = 2377967300352. Its totient is φ = 521152765952.

The previous prime is 1133122333229. The next prime is 1133122333237. The reversal of 1133122333232 is 2323332213311.

It is a junction number, because it is equal to n+sod(n) for n = 1133122333195 and 1133122333204.

It is not an unprimeable number, because it can be changed into a prime (1133122333237) 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 31 ways as a sum of consecutive naturals, for example, 1370159603 + ... + 1370160429.

Almost surely, 21133122333232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133122333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188983650176).

1133122333232 is an abundant number, since it is smaller than the sum of its proper divisors (1244844967120).

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

1133122333232 is a wasteful number, since it uses less digits than its factorization.

1133122333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its digits is 11664, while the sum is 29.

Adding to 1133122333232 its reverse (2323332213311), we get a palindrome (3456454546543).

The spelling of 1133122333232 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 83 136 137 166 272 274 332 443 548 664 827 886 1096 1328 1411 1654 1772 2192 2329 2822 3308 3544 4658 5644 6616 7088 7531 9316 11288 11371 13232 14059 15062 18632 22576 22742 28118 30124 36769 37264 45484 56236 60248 60691 68641 73538 90968 112472 113299 120496 121382 137282 147076 181936 193307 224944 226598 242764 274564 294152 366361 386614 453196 485528 549128 588304 625073 732722 773228 906392 971056 1031747 1098256 1166897 1250146 1465444 1546456 1812784 1926083 2063494 2333794 2500292 2930888 3092912 3852166 4126988 4667588 5000584 5037353 5861776 6228137 7704332 8253976 9335176 9403817 10001168 10074706 12456274 15408664 16507952 18670352 18807634 20149412 24912548 30407963 30817328 37615268 40298824 49825096 50191457 60815926 75230536 80597648 85635001 99650192 100382914 121631852 150461072 159864889 171270002 200765828 243263704 319729778 342540004 401531656 486527408 516935371 639459556 685080008 803063312 853254769 1033870742 1278919112 1370160016 1706509538 2067741484 2557838224 3413019076 4135482968 4165890931 6826038152 8270965936 8331781862 13652076304 16663563724 33327127448 66654254896 70820145827 141640291654 283280583308 566561166616 1133122333232