Search a number
-
+
103110320021742 = 23311173586397343
BaseRepresentation
bin10111011100011100111101…
…111111110110000011101110
3111112002020202111011120102000
4113130130331333312003232
5102003324413411143432
61003144121015113130
730501321565125645
oct2734347577660356
9445066674146360
10103110320021742
112a943928632040
12b6935796727a6
13456c352560b07
141b667cd5d435c
15bdc20927257c
hex5dc73dff60ee

103110320021742 has 32 divisors (see below), whose sum is σ = 249964412175360. Its totient is φ = 31245551521560.

The previous prime is 103110320021623. The next prime is 103110320021743. The reversal of 103110320021742 is 247120023011301.

103110320021742 is a `hidden beast` number, since 1 + 0 + 311 + 0 + 320 + 0 + 21 + 7 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103110320021743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86793198078 + ... + 86793199265.

It is an arithmetic number, because the mean of its divisors is an integer number (7811387880480).

Almost surely, 2103110320021742 is an apocalyptic number.

103110320021742 is an abundant number, since it is smaller than the sum of its proper divisors (146854092153618).

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

103110320021742 is a wasteful number, since it uses less digits than its factorization.

103110320021742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173586397365 (or 173586397359 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 103110320021742 in words is "one hundred three trillion, one hundred ten billion, three hundred twenty million, twenty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 173586397343 347172794686 520759192029 1041518384058 1562277576087 1909450370773 3124555152174 3818900741546 4686832728261 5728351112319 9373665456522 11456702224638 17185053336957 34370106673914 51555160010871 103110320021742