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231430434420 = 223519203009153
BaseRepresentation
bin1101011110001001010…
…1000010111001110100
3211010100210012012000010
43113202111002321310
512242432142400140
6254152341220220
722502030143413
oct3274225027164
9733323165003
10231430434420
118a1704a0839
1238a29701670
1318a92b5a673
14b2b64c147a
156047955880
hex35e2542e74

231430434420 has 48 divisors (see below), whose sum is σ = 682110757440. Its totient is φ = 58466635776.

The previous prime is 231430434413. The next prime is 231430434451. The reversal of 231430434420 is 24434034132.

It is a happy number.

231430434420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101503437 + ... + 101505716.

It is an arithmetic number, because the mean of its divisors is an integer number (14210640780).

Almost surely, 2231430434420 is an apocalyptic number.

231430434420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231430434420 is an abundant number, since it is smaller than the sum of its proper divisors (450680323020).

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

231430434420 is a wasteful number, since it uses less digits than its factorization.

231430434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203009184 (or 203009182 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 231430434420 its reverse (24434034132), we get a palindrome (255864468552).

The spelling of 231430434420 in words is "two hundred thirty-one billion, four hundred thirty million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 203009153 406018306 609027459 812036612 1015045765 1218054918 2030091530 2436109836 3045137295 3857173907 4060183060 6090274590 7714347814 11571521721 12180549180 15428695628 19285869535 23143043442 38571739070 46286086884 57857608605 77143478140 115715217210 231430434420