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203121418640 = 24571672777841
BaseRepresentation
bin1011110100101011111…
…0101110000110010000
3201102021212210011220012
42331022332232012100
511311443040344030
6233151312534052
720450352366620
oct2751276560620
9642255704805
10203121418640
1179163822228
1233448b51328
1316200c0625a
149b8c892880
15543c4ee095
hex2f4afae190

203121418640 has 160 divisors (see below), whose sum is σ = 544984118784. Its totient is φ = 68965908480.

The previous prime is 203121418609. The next prime is 203121418649. The reversal of 203121418640 is 46814121302.

It is a super-2 number, since 2×2031214186402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203121418597 and 203121418606.

It is not an unprimeable number, because it can be changed into a prime (203121418649) 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, 25901120 + ... + 25908960.

Almost surely, 2203121418640 is an apocalyptic number.

203121418640 is a gapful number since it is divisible by the number (20) 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 203121418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272492059392).

203121418640 is an abundant number, since it is smaller than the sum of its proper divisors (341862700144).

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

203121418640 is a wasteful number, since it uses less digits than its factorization.

203121418640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 203121418640 its reverse (46814121302), we get a palindrome (249935539942).

The spelling of 203121418640 in words is "two hundred three billion, one hundred twenty-one million, four hundred eighteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 277 280 334 554 560 668 835 1108 1169 1336 1385 1670 1939 2216 2338 2672 2770 3340 3878 4432 4676 5540 5845 6680 7756 7841 9352 9695 11080 11690 13360 15512 15682 18704 19390 22160 23380 31024 31364 38780 39205 46259 46760 54887 62728 77560 78410 92518 93520 109774 125456 155120 156820 185036 219548 231295 274435 313640 323813 370072 439096 462590 548870 627280 647626 740144 878192 925180 1097740 1295252 1309447 1619065 1850360 2171957 2195480 2590504 2618894 3238130 3700720 4343914 4390960 5181008 5237788 6476260 6547235 8687828 9166129 10475576 10859785 12952520 13094470 15203699 17375656 18332258 20951152 21719570 25905040 26188940 30407398 34751312 36664516 43439140 45830645 52377880 60814796 73329032 76018495 86878280 91661290 104755760 121629592 146658064 152036990 173756560 183322580 243259184 304073980 362716819 366645160 608147960 725433638 733290320 1216295920 1450867276 1813584095 2539017733 2901734552 3627168190 5078035466 5803469104 7254336380 10156070932 12695088665 14508672760 20312141864 25390177330 29017345520 40624283728 50780354660 101560709320 203121418640