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122142424430 = 25136179191657
BaseRepresentation
bin111000111000001000…
…0010111110101101110
3102200021022112001022102
41301300100113311232
54000121430040210
6132040024015102
711552542322525
oct1616020276556
9380238461272
10122142424430
114788923a324
121b809301492
13b69700a430
145ca9ab74bc
15329d0ecea5
hex1c70417d6e

122142424430 has 64 divisors (see below), whose sum is σ = 237553464960. Its totient is φ = 44949510144.

The previous prime is 122142424429. The next prime is 122142424441. The reversal of 122142424430 is 34424241221.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122142424393 and 122142424402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73712162 + ... + 73713818.

It is an arithmetic number, because the mean of its divisors is an integer number (3711772890).

Almost surely, 2122142424430 is an apocalyptic number.

122142424430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122142424430 is a deficient number, since it is larger than the sum of its proper divisors (115411040530).

122142424430 is a wasteful number, since it uses less digits than its factorization.

122142424430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 122142424430 its reverse (34424241221), we get a palindrome (156566665651).

The spelling of 122142424430 in words is "one hundred twenty-two billion, one hundred forty-two million, four hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 617 919 1234 1657 1838 3085 3314 4595 6170 8021 8285 9190 11947 16042 16570 21541 23894 40105 43082 59735 80210 107705 119470 215410 567023 1022369 1134046 1522783 2044738 2835115 3045566 5111845 5670230 7371299 7613915 10223690 13290797 14742598 15227830 19796179 26581594 36856495 39592358 66453985 73712990 98980895 132907970 197961790 939557111 1879114222 4697785555 9395571110 12214242443 24428484886 61071212215 122142424430