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103040240193 = 321121074911801
BaseRepresentation
bin101111111110110101…
…1010100101001000001
3100211222001101112202100
41133331223110221001
53142011300141233
6115200325541013
710305301406352
oct1377553245101
9324861345670
10103040240193
113a776590600
1217b77b74769
139941642c37
144db6b3dd29
152a310cb813
hex17fdad4a41

103040240193 has 72 divisors (see below), whose sum is σ = 165553603488. Its totient is φ = 61704720000.

The previous prime is 103040240167. The next prime is 103040240243. The reversal of 103040240193 is 391042040301.

103040240193 is a `hidden beast` number, since 1 + 0 + 30 + 402 + 40 + 193 = 666.

It is not a de Polignac number, because 103040240193 - 25 = 103040240161 is a prime.

It is a super-2 number, since 2×1030402401932 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103040240893) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57211893 + ... + 57213693.

It is an arithmetic number, because the mean of its divisors is an integer number (2299355604).

Almost surely, 2103040240193 is an apocalyptic number.

It is an amenable number.

103040240193 is a deficient number, since it is larger than the sum of its proper divisors (62513363295).

103040240193 is a wasteful number, since it uses less digits than its factorization.

103040240193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103040240193 its reverse (391042040301), we get a palindrome (494082280494).

The spelling of 103040240193 in words is "one hundred three billion, forty million, two hundred forty thousand, one hundred ninety-three".

Divisors: 1 3 9 11 33 99 107 121 321 363 491 963 1089 1177 1473 1801 3531 4419 5401 5403 10593 12947 16203 16209 19811 38841 48609 52537 59411 59433 116523 157611 178233 178299 192707 217921 472833 534699 577907 578121 653763 884291 1733721 1734363 1961289 2119777 2652873 5201163 6356977 6359331 7958619 9727201 19070931 19077993 23317547 29181603 57212793 69952641 87544809 94619137 106999211 209857923 283857411 320997633 851572233 962992899 1040810507 3122431521 9367294563 11448915577 34346746731 103040240193