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31243034000 = 2453293131721
BaseRepresentation
bin11101000110001110…
…101101110110010000
32222122101021120110102
4131012032231312100
51002441204042000
622204114351532
72154142256453
oct350616556620
988571246412
1031243034000
1112282972962
12607b28b5a8
132c3ba76089
14172557b49a
15c2cd153d5
hex7463add90

31243034000 has 160 divisors (see below), whose sum is σ = 78445916640. Its totient is φ = 12020736000.

The previous prime is 31243033999. The next prime is 31243034021. The reversal of 31243034000 is 43034213.

It can be written as a sum of positive squares in 16 ways, for example, as 27440585104 + 3802448896 = 165652^2 + 61664^2 .

It is a super-2 number, since 2×312430340002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18153140 + ... + 18154860.

It is an arithmetic number, because the mean of its divisors is an integer number (490286979).

Almost surely, 231243034000 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 31243034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39222958320).

31243034000 is an abundant number, since it is smaller than the sum of its proper divisors (47202882640).

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

31243034000 is a wasteful number, since it uses less digits than its factorization.

31243034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 31243034000 its reverse (43034213), we get a palindrome (31286068213).

The spelling of 31243034000 in words is "thirty-one billion, two hundred forty-three million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 313 400 464 500 580 626 725 1000 1160 1252 1450 1565 1721 2000 2320 2504 2900 3130 3442 3625 5008 5800 6260 6884 7250 7825 8605 9077 11600 12520 13768 14500 15650 17210 18154 25040 27536 29000 31300 34420 36308 39125 43025 45385 49909 58000 62600 68840 72616 78250 86050 90770 99818 125200 137680 145232 156500 172100 181540 199636 215125 226925 249545 313000 344200 363080 399272 430250 453850 499090 538673 626000 688400 726160 798544 860500 907700 998180 1077346 1134625 1247725 1721000 1815400 1996360 2154692 2269250 2495450 2693365 3442000 3630800 3992720 4309384 4538500 4990900 5386730 6238625 8618768 9077000 9981800 10773460 12477250 13466825 15621517 18154000 19963600 21546920 24954500 26933650 31243034 43093840 49909000 53867300 62486068 67334125 78107585 99818000 107734600 124972136 134668250 156215170 215469200 249944272 269336500 312430340 390537925 538673000 624860680 781075850 1077346000 1249721360 1562151700 1952689625 3124303400 3905379250 6248606800 7810758500 15621517000 31243034000