Search a number
-
+
511023020114321 = 111313925709262973
BaseRepresentation
bin111010000110001011101000…
…1100101100000000110010001
32111000101022201220122021222122
41310030113101211200012101
51013440100121122124241
65010504422354144025
7212432123553114161
oct16414272145400621
92430338656567878
10511023020114321
1113891171156a350
1249393827582015
1318c1b35809a360
1490299090385a1
153e12d3503c04b
hex1d0c5d1960191

511023020114321 has 16 divisors (see below), whose sum is σ = 604681865148480. Its totient is φ = 425745394816320.

The previous prime is 511023020114239. The next prime is 511023020114323. The reversal of 511023020114321 is 123411020320115.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-511023020114321 is a prime.

It is a super-3 number, since 3×5110230201143213 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (511023020114323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12854611610 + ... + 12854651363.

It is an arithmetic number, because the mean of its divisors is an integer number (37792616571780).

Almost surely, 2511023020114321 is an apocalyptic number.

It is an amenable number.

511023020114321 is a deficient number, since it is larger than the sum of its proper divisors (93658845034159).

511023020114321 is a wasteful number, since it uses less digits than its factorization.

511023020114321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25709263136.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 511023020114321 its reverse (123411020320115), we get a palindrome (634434040434436).

The spelling of 511023020114321 in words is "five hundred eleven trillion, twenty-three billion, twenty million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 11 13 139 143 1529 1807 19877 25709262973 282801892703 334220418649 3573587553247 3676424605139 39309463085717 46456638192211 511023020114321