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1103120032131 = 321371385134483
BaseRepresentation
bin10000000011010111000…
…100111110000110000011
310220110100022221211012100
4100003113010332012003
5121033142212012011
62202433310401443
7142461225364065
oct20032704760603
93813308854170
101103120032131
11395915555347
12159960800283
13800402c8230
143b5699d7735
151da64854d56
hex100d713e183

1103120032131 has 48 divisors (see below), whose sum is σ = 1740635350272. Its totient is φ = 669088728000.

The previous prime is 1103120032109. The next prime is 1103120032193. The reversal of 1103120032131 is 1312300213011.

1103120032131 is a `hidden beast` number, since 1 + 1 + 0 + 312 + 0 + 0 + 321 + 31 = 666.

It is not a de Polignac number, because 1103120032131 - 25 = 1103120032099 is a prime.

It is a super-2 number, since 2×11031200321312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1103120022131) 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 47 ways as a sum of consecutive naturals, for example, 31973016 + ... + 32007498.

It is an arithmetic number, because the mean of its divisors is an integer number (36263236464).

Almost surely, 21103120032131 is an apocalyptic number.

1103120032131 is a deficient number, since it is larger than the sum of its proper divisors (637515318141).

1103120032131 is a wasteful number, since it uses less digits than its factorization.

1103120032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38424 (or 38421 counting only the distinct ones).

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

Adding to 1103120032131 its reverse (1312300213011), we get a palindrome (2415420245142).

The spelling of 1103120032131 in words is "one trillion, one hundred three billion, one hundred twenty million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 71 117 213 639 923 2769 3851 8307 11553 34483 34659 50063 103449 150189 273421 310347 448279 450567 820263 1344837 2448293 2460789 3554473 4034511 7344879 10663419 22034637 31827809 31990257 95483427 132794033 286450281 398382099 1195146297 1726322429 5178967287 9428376343 15536901861 28285129029 84855387087 122568892459 367706677377 1103120032131