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1100122313120 = 255431153138683
BaseRepresentation
bin10000000000100100011…
…001100101000110100000
310220011121102012220210022
4100000210121211012200
5121011022303004440
62201220023053012
7142324025241365
oct20004431450640
93804542186708
101100122313120
11394617402716
121592648a1168
137c983231cbc
143b36382646c
151d93b5b1cb5
hex100246651a0

1100122313120 has 96 divisors (see below), whose sum is σ = 2661807500352. Its totient is φ = 429439352832.

The previous prime is 1100122313113. The next prime is 1100122313141. The reversal of 1100122313120 is 213132210011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7863299 + ... + 8001981.

It is an arithmetic number, because the mean of its divisors is an integer number (27727161462).

Almost surely, 21100122313120 is an apocalyptic number.

1100122313120 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 1100122313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330903750176).

1100122313120 is an abundant number, since it is smaller than the sum of its proper divisors (1561685187232).

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

1100122313120 is a wasteful number, since it uses less digits than its factorization.

1100122313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139894 (or 139886 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1100122313120 its reverse (213132210011), we get a palindrome (1313254523131).

The spelling of 1100122313120 in words is "one trillion, one hundred billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1153 1376 1720 2306 3440 4612 5765 6880 9224 11530 18448 23060 36896 46120 49579 92240 99158 138683 184480 198316 247895 277366 396632 495790 554732 693415 793264 991580 1109464 1386830 1586528 1983160 2218928 2773660 3966320 4437856 5547320 5963369 7932640 11094640 11926738 22189280 23853476 29816845 47706952 59633690 95413904 119267380 159901499 190827808 238534760 319802998 477069520 639605996 799507495 954139040 1279211992 1599014990 2558423984 3198029980 5116847968 6396059960 6875764457 12792119920 13751528914 25584239840 27503057828 34378822285 55006115656 68757644570 110012231312 137515289140 220024462624 275030578280 550061156560 1100122313120