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122433401430 = 23251780021831
BaseRepresentation
bin111001000000110011…
…0010111001001010110
3102201000121001012201100
41302001212113021112
54001220422321210
6132124540410530
711563004512134
oct1620146271126
9381017035640
10122433401430
1147a1851068a
121b88a846a46
13b712399282
145cd65bc754
1532b89285c0
hex1c81997256

122433401430 has 48 divisors (see below), whose sum is σ = 337051956384. Its totient is φ = 30728382720.

The previous prime is 122433401429. The next prime is 122433401471. The reversal of 122433401430 is 34104334221.

122433401430 is a `hidden beast` number, since 1 + 224 + 3 + 3 + 4 + 0 + 1 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122433401394 and 122433401403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40009386 + ... + 40012445.

It is an arithmetic number, because the mean of its divisors is an integer number (7021915758).

Almost surely, 2122433401430 is an apocalyptic number.

122433401430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122433401430 is an abundant number, since it is smaller than the sum of its proper divisors (214618554954).

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

122433401430 is a wasteful number, since it uses less digits than its factorization.

122433401430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80021861 (or 80021858 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122433401430 its reverse (34104334221), we get a palindrome (156537735651).

The spelling of 122433401430 in words is "one hundred twenty-two billion, four hundred thirty-three million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 80021831 160043662 240065493 400109155 480130986 720196479 800218310 1200327465 1360371127 1440392958 2400654930 2720742254 3600982395 4081113381 6801855635 7201964790 8162226762 12243340143 13603711270 20405566905 24486680286 40811133810 61216700715 122433401430