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1100121332232 = 2331347379197947
BaseRepresentation
bin10000000000100100010…
…101110101101000001000
310220011121100101002021010
4100000210111311220020
5121011022030112412
62201215550043520
7142324014014556
oct20004425655010
93804540332233
101100121332232
113946168a276a
121592644a95a0
137c982c7a6b0
143b36364cbd6
151d93b46b33c
hex10024575a08

1100121332232 has 128 divisors (see below), whose sum is σ = 3032880076800. Its totient is φ = 330420964608.

The previous prime is 1100121332227. The next prime is 1100121332239. The reversal of 1100121332232 is 2322331210011.

It is a junction number, because it is equal to n+sod(n) for n = 1100121332199 and 1100121332208.

It is not an unprimeable number, because it can be changed into a prime (1100121332239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5458683 + ... + 5656629.

It is an arithmetic number, because the mean of its divisors is an integer number (23694375600).

Almost surely, 21100121332232 is an apocalyptic number.

1100121332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100121332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516440038400).

1100121332232 is an abundant number, since it is smaller than the sum of its proper divisors (1932758744568).

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

1100121332232 is a wasteful number, since it uses less digits than its factorization.

1100121332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198395 (or 198391 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1100121332232 its reverse (2322331210011), we get a palindrome (3422452542243).

The spelling of 1100121332232 in words is "one trillion, one hundred billion, one hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 379 564 611 758 1128 1137 1222 1516 1833 2274 2444 3032 3666 4548 4888 4927 7332 9096 9854 14664 14781 17813 19708 29562 35626 39416 53439 59124 71252 106878 118248 142504 197947 213756 231569 395894 427512 463138 593841 694707 791788 926276 1187682 1389414 1583576 1852552 2375364 2573311 2778828 4750728 5146622 5557656 7719933 9303509 10293244 15439866 18607018 20586488 27910527 30879732 37214036 55821054 61759464 74428072 75021913 111642108 120945617 150043826 223284216 225065739 241891234 300087652 362836851 450131478 483782468 600175304 725673702 900262956 967564936 975284869 1451347404 1800525912 1950569738 2902694808 2925854607 3526029911 3901139476 5851709214 7052059822 7802278952 10578089733 11703418428 14104119644 21156179466 23406836856 28208239288 42312358932 45838388843 84624717864 91676777686 137515166529 183353555372 275030333058 366707110744 550060666116 1100121332232