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31223140420 = 22519377512957
BaseRepresentation
bin11101000101000010…
…110101000001000100
32222120222211212121011
4131011002311001010
51002421110443140
622202124132004
72153511212623
oct350502650104
988528755534
1031223140420
111227271558a
126074697004
132c378cc224
141722a7d6ba
15c2b1d5cea
hex7450b5044

31223140420 has 96 divisors (see below), whose sum is σ = 71003358720. Its totient is φ = 11492928000.

The previous prime is 31223140381. The next prime is 31223140427. The reversal of 31223140420 is 2404132213.

It is a junction number, because it is equal to n+sod(n) for n = 31223140391 and 31223140400.

It is not an unprimeable number, because it can be changed into a prime (31223140427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10557582 + ... + 10560538.

It is an arithmetic number, because the mean of its divisors is an integer number (739618320).

Almost surely, 231223140420 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 31223140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35501679360).

31223140420 is an abundant number, since it is smaller than the sum of its proper divisors (39780218300).

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

31223140420 is a wasteful number, since it uses less digits than its factorization.

31223140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31223140420 its reverse (2404132213), we get a palindrome (33627272633).

The spelling of 31223140420 in words is "thirty-one billion, two hundred twenty-three million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 751 1406 1502 2812 2957 3004 3515 3755 5914 7030 7510 11828 14060 14269 14785 15020 27787 28538 29570 55574 56183 57076 59140 71345 109409 111148 112366 138935 142690 218818 224732 277870 280915 285380 437636 527953 547045 555740 561830 1055906 1094090 1123660 2078771 2111812 2188180 2220707 2639765 4157542 4441414 5279530 8315084 8882828 10393855 10559060 11103535 20787710 22207070 41575420 42193433 44414140 82166159 84386866 164332318 168773732 210967165 328664636 410830795 421934330 821661590 843868660 1561157021 1643323180 3122314042 6244628084 7805785105 15611570210 31223140420