Search a number
-
+
122424234420 = 223533750312037
BaseRepresentation
bin111001000000100001…
…1011001000110110100
3102200222221210110221110
41302001003121012310
54001211101000140
6132124012115020
711562533552145
oct1620103310664
9380887713843
10122424234420
1147a1331a344
121b887765a70
13b7105098c7
145cd52b3acc
1532b7c17380
hex1c810d91b4

122424234420 has 96 divisors (see below), whose sum is σ = 344517159168. Its totient is φ = 32482179072.

The previous prime is 122424234419. The next prime is 122424234431. The reversal of 122424234420 is 24432424221.

It is a happy number.

It is a super-2 number, since 2×1224242344202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10164642 + ... + 10176678.

It is an arithmetic number, because the mean of its divisors is an integer number (3588720408).

Almost surely, 2122424234420 is an apocalyptic number.

122424234420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122424234420 is an abundant number, since it is smaller than the sum of its proper divisors (222092924748).

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

122424234420 is a wasteful number, since it uses less digits than its factorization.

122424234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 122424234420 its reverse (24432424221), we get a palindrome (146856658641).

The spelling of 122424234420 in words is "one hundred twenty-two billion, four hundred twenty-four million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 503 674 1006 1011 1348 1509 1685 2012 2022 2515 3018 3370 4044 5030 5055 6036 6740 7545 10060 10110 12037 15090 20220 24074 30180 36111 48148 60185 72222 120370 144444 169511 180555 240740 339022 361110 508533 678044 722220 847555 1017066 1695110 2034132 2542665 3390220 4056469 5085330 6054611 8112938 10170660 12109222 12169407 16225876 18163833 20282345 24218444 24338814 30273055 36327666 40564690 48677628 60546110 60847035 72655332 81129380 90819165 121092220 121694070 181638330 243388140 363276660 2040403907 4080807814 6121211721 8161615628 10202019535 12242423442 20404039070 24484846884 30606058605 40808078140 61212117210 122424234420