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31223234420 = 22577329310427
BaseRepresentation
bin11101000101000011…
…001011111101110100
32222121000000122112122
4131011003023331310
51002421122000140
622202130135112
72153512053650
oct350503137564
988530018478
1031223234420
111227277a174
126074721498
132c37932c51
141722aa5a60
15c2b203ab5
hex7450cbf74

31223234420 has 96 divisors (see below), whose sum is σ = 76228846848. Its totient is φ = 10521418752.

The previous prime is 31223234407. The next prime is 31223234461. The reversal of 31223234420 is 2443232213.

It is a self number, because there is not a number n which added to its sum of digits gives 31223234420.

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, 2989247 + ... + 2999673.

It is an arithmetic number, because the mean of its divisors is an integer number (794050488).

Almost surely, 231223234420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31223234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38114423424).

31223234420 is an abundant number, since it is smaller than the sum of its proper divisors (45005612428).

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

31223234420 is a wasteful number, since it uses less digits than its factorization.

31223234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10807 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 31223234420 its reverse (2443232213), we get a palindrome (33666466633).

The spelling of 31223234420 in words is "thirty-one billion, two hundred twenty-three million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 293 365 511 586 730 1022 1172 1460 1465 2044 2051 2555 2930 4102 5110 5860 8204 10220 10255 10427 20510 20854 21389 41020 41708 42778 52135 72989 85556 104270 106945 145978 149723 208540 213890 291956 299446 364945 427780 598892 729890 748615 761171 1459780 1497230 1522342 2994460 3044684 3055111 3805855 5328197 6110222 7611710 10656394 12220444 15223420 15275555 21312788 21385777 26640985 30551110 42771554 53281970 61102220 85543108 106563940 106928885 213857770 223023103 427715540 446046206 892092412 1115115515 1561161721 2230231030 3122323442 4460462060 6244646884 7805808605 15611617210 31223234420