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31223203320 = 23353767104959
BaseRepresentation
bin11101000101000011…
…000100010111111000
32222120222222001212210
4131011003010113320
51002421120001240
622202125335120
72153511564201
oct350503042770
988528861783
1031223203320
1112272758871
1260747074a0
132c37921a4a
141722a985a8
15c2b1e9780
hex7450c45f8

31223203320 has 128 divisors (see below), whose sum is σ = 97637990400. Its totient is φ = 7980166656.

The previous prime is 31223203313. The next prime is 31223203321. The reversal of 31223203320 is 2330232213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223203321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245001 + ... + 349959.

It is an arithmetic number, because the mean of its divisors is an integer number (762796800).

Almost surely, 231223203320 is an apocalyptic number.

31223203320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31223203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48818995200).

31223203320 is an abundant number, since it is smaller than the sum of its proper divisors (66414787080).

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

31223203320 is a wasteful number, since it uses less digits than its factorization.

31223203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105077 (or 105073 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 31223203320 its reverse (2330232213), we get a palindrome (33553435533).

The spelling of 31223203320 in words is "thirty-one billion, two hundred twenty-three million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 67 74 111 120 134 148 185 201 222 268 296 335 370 402 444 536 555 670 740 804 888 1005 1110 1340 1480 1608 2010 2220 2479 2680 4020 4440 4958 7437 8040 9916 12395 14874 19832 24790 29748 37185 49580 59496 74370 99160 104959 148740 209918 297480 314877 419836 524795 629754 839672 1049590 1259508 1574385 2099180 2519016 3148770 3883483 4198360 6297540 7032253 7766966 11650449 12595080 14064506 15533932 19417415 21096759 23300898 28129012 31067864 35161265 38834830 42193518 46601796 56258024 58252245 70322530 77669660 84387036 93203592 105483795 116504490 140645060 155339320 168774072 210967590 233008980 260193361 281290120 421935180 466017960 520386722 780580083 843870360 1040773444 1300966805 1561160166 2081546888 2601933610 3122320332 3902900415 5203867220 6244640664 7805800830 10407734440 15611601660 31223203320