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1332011122208 = 2513171033182333
BaseRepresentation
bin10011011000100010000…
…011001011111000100000
311201100011010220221121222
4103120202003023320200
5133310424321402313
62455530101034212
7165143322504314
oct23304203137040
94640133827558
101332011122208
114739a260a098
1219619b9b5968
13987ba02c180
1448680b45b44
15249ae3ac208
hex136220cbe20

1332011122208 has 96 divisors (see below), whose sum is σ = 2993155559856. Its totient is φ = 578047868928.

The previous prime is 1332011122207. The next prime is 1332011122271. The reversal of 1332011122208 is 8022211102331.

It can be written as a sum of positive squares in 8 ways, for example, as 1303917339664 + 28093782544 = 1141892^2 + 167612^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1332011122207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7214210 + ... + 7396542.

Almost surely, 21332011122208 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 1332011122208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496577779928).

1332011122208 is an abundant number, since it is smaller than the sum of its proper divisors (1661144437648).

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

1332011122208 is a wasteful number, since it uses less digits than its factorization.

1332011122208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183406 (or 183398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 1332011122208 its reverse (8022211102331), we get a palindrome (9354222224539).

The spelling of 1332011122208 in words is "one trillion, three hundred thirty-two billion, eleven million, one hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1033 1768 2066 3536 4132 7072 8264 13429 16528 17561 26858 33056 35122 53716 70244 107432 140488 182333 214864 228293 280976 364666 429728 456586 561952 729332 913172 1458664 1826344 2370329 2917328 3099661 3652688 4740658 5834656 6199322 7305376 9481316 12398644 18962632 24797288 37925264 40295593 49594576 75850528 80591186 99189152 161182372 188349989 322364744 376699978 644729488 753399956 1289458976 1506799912 2448549857 3013599824 3201949813 4897099714 6027199648 6403899626 9794199428 12807799252 19588398856 25615598504 39176797712 41625347569 51231197008 78353595424 83250695138 102462394016 166501390276 333002780552 666005561104 1332011122208