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1101322012120 = 2351131451317891
BaseRepresentation
bin10000000001101011111…
…010000100010111011000
310220021201000122221102121
4100001223322010113120
5121021001413341440
62201535040511024
7142365533434201
oct20015372042730
93807630587377
101101322012120
113950826232a0
1215953a61b474
137cb1494c475
143b438cb85a8
151d9aba8d34a
hex1006be845d8

1101322012120 has 128 divisors (see below), whose sum is σ = 2791220705280. Its totient is φ = 387454464000.

The previous prime is 1101322012099. The next prime is 1101322012129. The reversal of 1101322012120 is 212102231011.

It is a junction number, because it is equal to n+sod(n) for n = 1101322012094 and 1101322012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101322012129) 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 31 ways as a sum of consecutive naturals, for example, 61548375 + ... + 61566265.

It is an arithmetic number, because the mean of its divisors is an integer number (21806411760).

Almost surely, 21101322012120 is an apocalyptic number.

1101322012120 is a gapful number since it is divisible by the number (10) 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 1101322012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395610352640).

1101322012120 is an abundant number, since it is smaller than the sum of its proper divisors (1689898693160).

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

1101322012120 is a wasteful number, since it uses less digits than its factorization.

1101322012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22457 (or 22453 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1101322012120 its reverse (212102231011), we get a palindrome (1313424243131).

The spelling of 1101322012120 in words is "one trillion, one hundred one billion, three hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 4513 6820 9026 13640 17891 18052 22565 35782 36104 45130 49643 71564 89455 90260 99286 139903 143128 178910 180520 196801 198572 248215 279806 357820 393602 397144 496430 554621 559612 699515 715640 787204 984005 992860 1109242 1119224 1399030 1538933 1574408 1968010 1985720 2218484 2773105 2798060 3077866 3936020 4436968 5546210 5596120 6100831 6155732 7694665 7872040 11092420 12201662 12311464 15389330 22184840 24403324 30504155 30778660 48806648 61008310 61557320 80742083 122016620 161484166 244033240 322968332 403710415 645936664 807420830 888162913 1614841660 1776325826 2503004573 3229683320 3552651652 4440814565 5006009146 7105303304 8881629130 10012018292 12515022865 17763258260 20024036584 25030045730 27533050303 35526516520 50060091460 55066100606 100120182920 110132201212 137665251515 220264402424 275330503030 550661006060 1101322012120