Search a number
-
+
122142421402443 = 32132941143874957
BaseRepresentation
bin11011110001011001111111…
…101000111100001101001011
3121000110200221100121202100200
4123301121333220330031023
5112002140134334334233
61111435242002503243
734504333031504661
oct3361317750741513
9530420840552320
10122142421402443
1135a113456a9682
1211848029964b23
13531cc9a0c3530
142223a2097cc31
15e1c310c07313
hex6f167fa3c34b

122142421402443 has 48 divisors (see below), whose sum is σ = 196556024857920. Its totient is φ = 72570838540032.

The previous prime is 122142421402423. The next prime is 122142421402493. The reversal of 122142421402443 is 344204124241221.

122142421402443 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 242 + 1 + 402 + 4 + 4 + 3 = 666.

It is not a de Polignac number, because 122142421402443 - 213 = 122142421394251 is a prime.

It is a super-2 number, since 2×1221424214024432 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122142421402398 and 122142421402407.

It is not an unprimeable number, because it can be changed into a prime (122142421402423) 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, 139160721 + ... + 140035677.

It is an arithmetic number, because the mean of its divisors is an integer number (4094917184540).

Almost surely, 2122142421402443 is an apocalyptic number.

122142421402443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122142421402443 is a deficient number, since it is larger than the sum of its proper divisors (74413603455477).

122142421402443 is a wasteful number, since it uses less digits than its factorization.

122142421402443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916148 (or 916145 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 122142421402443 its reverse (344204124241221), we get a palindrome (466346545643664).

The spelling of 122142421402443 in words is "one hundred twenty-two trillion, one hundred forty-two billion, four hundred twenty-one million, four hundred two thousand, four hundred forty-three".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 41143 123429 370287 534859 874957 1193147 1604577 2624871 3579441 4813731 7874613 10738323 11374441 15510911 25373753 34123323 46532733 76121259 102369969 139598199 228363777 329858789 989576367 2968729101 35998355851 107995067553 323985202659 467978626063 1043952319679 1403935878189 3131856959037 4211807634567 9395570877111 13571380155827 40714140467481 122142421402443