Search a number
-
+
122023145034 = 23372160728697
BaseRepresentation
bin111000110100100100…
…1010110111001001010
3102122222000002000202000
41301221021112321022
53444400411120114
6132020123251430
711546563422300
oct1615111267112
9378860060660
10122023145034
114782797aa0a
121b795379b76
13b6783a64cb
145c97d08270
1532928dae09
hex1c69256e4a

122023145034 has 96 divisors (see below), whose sum is σ = 315641266560. Its totient is φ = 34840846656.

The previous prime is 122023145021. The next prime is 122023145039. The reversal of 122023145034 is 430541320221.

122023145034 is a `hidden beast` number, since 1 + 2 + 202 + 3 + 1 + 450 + 3 + 4 = 666.

122023145034 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1220231450342 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122023144989 and 122023145007.

It is not an unprimeable number, because it can be changed into a prime (122023145039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4237774 + ... + 4266470.

It is an arithmetic number, because the mean of its divisors is an integer number (3287929860).

Almost surely, 2122023145034 is an apocalyptic number.

122023145034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122023145034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157820633280).

122023145034 is an abundant number, since it is smaller than the sum of its proper divisors (193618121526).

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

122023145034 is a wasteful number, since it uses less digits than its factorization.

122023145034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30329 (or 30316 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 122023145034 its reverse (430541320221), we get a palindrome (552564465255).

The spelling of 122023145034 in words is "one hundred twenty-two billion, twenty-three million, one hundred forty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 1607 2646 3214 4821 9642 11249 14463 22498 28697 28926 33747 43389 57394 67494 78743 86091 86778 101241 157486 172182 200879 202482 236229 258273 303723 401758 472458 516546 602637 607446 708687 774819 1205274 1406153 1417374 1549638 1807911 2126061 2812306 3615822 4218459 4252122 5423733 8436918 10847466 12655377 25310754 37966131 46116079 75932262 92232158 138348237 276696474 322812553 415044711 645625106 830089422 968437659 1245134133 1936875318 2259687871 2490268266 2905312977 4519375742 5810625954 6779063613 8715938931 13558127226 17431877862 20337190839 40674381678 61011572517 122023145034