Search a number
-
+
1100133123102 = 233134573429193
BaseRepresentation
bin10000000000100101000…
…010110100010000011110
310220011122011120010022000
4100000211002310100132
5121011033034414402
62201221050503130
7142324216153356
oct20004502642036
93804564503260
101100133123102
11394622516392
12159268434aa6
137c985548440
143b36503bb66
151d93c4e9c1c
hex100250b441e

1100133123102 has 64 divisors (see below), whose sum is σ = 2638559031360. Its totient is φ = 337761695232.

The previous prime is 1100133123101. The next prime is 1100133123113. The reversal of 1100133123102 is 2013213310011.

1100133123102 is a `hidden beast` number, since 1 + 100 + 1 + 331 + 231 + 0 + 2 = 666.

It is a super-2 number, since 2×11001331231022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100133123101) 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, 1393783 + ... + 2035410.

It is an arithmetic number, because the mean of its divisors is an integer number (41227484865).

Almost surely, 21100133123102 is an apocalyptic number.

1100133123102 is an abundant number, since it is smaller than the sum of its proper divisors (1538425908258).

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

1100133123102 is a wasteful number, since it uses less digits than its factorization.

1100133123102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429674 (or 3429668 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1100133123102 its reverse (2013213310011), we get a palindrome (3113346433113).

The spelling of 1100133123102 in words is "one trillion, one hundred billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 457 702 914 1371 2742 4113 5941 8226 11882 12339 17823 24678 35646 53469 106938 160407 320814 3429193 6858386 10287579 20575158 30862737 44579509 61725474 89159018 92588211 133738527 185176422 267477054 401215581 802431162 1203646743 1567141201 2407293486 3134282402 4701423603 9402847206 14104270809 20372835613 28208541618 40745671226 42312812427 61118506839 84625624854 122237013678 183355520517 366711041034 550066561551 1100133123102