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42310213000 = 23531110138083
BaseRepresentation
bin100111011001111000…
…101001110110001000
311001012200010111221221
4213121320221312020
51143122403304000
631234222411424
73025325606446
oct473170516610
9131180114857
1042310213000
1116a42015290
128249730b74
133cb38921c3
142095337b96
15117972461a
hex9d9e29d88

42310213000 has 128 divisors (see below), whose sum is σ = 109078669440. Its totient is φ = 15232800000.

The previous prime is 42310212991. The next prime is 42310213009. The reversal of 42310213000 is 31201324.

It is a happy number.

42310213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42310212991) and next prime (42310213009).

It is not an unprimeable number, because it can be changed into a prime (42310213009) 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, 1091959 + ... + 1130041.

It is an arithmetic number, because the mean of its divisors is an integer number (852177105).

Almost surely, 242310213000 is an apocalyptic number.

42310213000 is a gapful number since it is divisible by the number (40) 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 42310213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54539334720).

42310213000 is an abundant number, since it is smaller than the sum of its proper divisors (66768456440).

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

42310213000 is a wasteful number, since it uses less digits than its factorization.

42310213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38216 (or 38202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42310213000 its reverse (31201324), we get a palindrome (42341414324).

The spelling of 42310213000 in words is "forty-two billion, three hundred ten million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 38083 44440 50500 55550 76166 101000 111100 138875 152332 190415 222200 277750 304664 380830 418913 555500 761660 837826 952075 1111000 1523320 1675652 1904150 2094565 3351304 3808300 3846383 4189130 4760375 7616600 7692766 8378260 9520750 10472825 15385532 16756520 19041500 19231915 20945650 30771064 38083000 38463830 41891300 42310213 52364125 76927660 83782600 84620426 96159575 104728250 153855320 169240852 192319150 209456500 211551065 338481704 384638300 418913000 423102130 480797875 769276600 846204260 961595750 1057755325 1692408520 1923191500 2115510650 3846383000 4231021300 5288776625 8462042600 10577553250 21155106500 42310213000