Search a number
-
+
212414110220123 = 7257491060771089
BaseRepresentation
bin110000010011000010000011…
…100101011011111101011011
31000212002120221120010222111222
4300103002003211123331123
5210320143044204020443
62031433410050442255
762512261445166200
oct6023020345337533
91025076846128458
10212414110220123
116175535565a799
121b9a733b89338b
13916a7456aa276
143a64c7d76dca7
1519855a250e468
hexc1308395bf5b

212414110220123 has 24 divisors (see below), whose sum is σ = 247163721480000. Its totient is φ = 182017845128448.

The previous prime is 212414110220113. The next prime is 212414110220161. The reversal of 212414110220123 is 321022011414212.

212414110220123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212414110220123 - 224 = 212414093442907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212414110220092 and 212414110220101.

It is not an unprimeable number, because it can be changed into a prime (212414110220113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2987966963 + ... + 2988038051.

It is an arithmetic number, because the mean of its divisors is an integer number (10298488395000).

Almost surely, 2212414110220123 is an apocalyptic number.

212414110220123 is a deficient number, since it is larger than the sum of its proper divisors (34749611259877).

212414110220123 is a wasteful number, since it uses less digits than its factorization.

212414110220123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87459 (or 87452 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 212414110220123 its reverse (321022011414212), we get a palindrome (533436121634335).

The spelling of 212414110220123 in words is "two hundred twelve trillion, four hundred fourteen billion, one hundred ten million, two hundred twenty thousand, one hundred twenty-three".

Divisors: 1 7 49 5749 10607 40243 71089 74249 281701 497623 519743 3483361 60979643 408690661 426857501 754041023 2860834627 2988002507 5278287161 20025842389 36948010127 4334981841227 30344872888589 212414110220123