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203201031120 = 24352337994913
BaseRepresentation
bin1011110100111110111…
…0011010101111010000
3201102111102120220200120
42331033232122233100
511312123430443440
6233203235150240
720452340160153
oct2751756325720
9642442526616
10203201031120
11791a475926a
123346b745380
131621455c129
149b99297c9a
1554444c7dd0
hex2f4fb9abd0

203201031120 has 160 divisors (see below), whose sum is σ = 675077006592. Its totient is φ = 50430099456.

The previous prime is 203201031119. The next prime is 203201031149. The reversal of 203201031120 is 21130102302.

203201031120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203201031120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293217 + ... + 701696.

Almost surely, 2203201031120 is an apocalyptic number.

203201031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203201031120 is an abundant number, since it is smaller than the sum of its proper divisors (471875975472).

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

203201031120 is a wasteful number, since it uses less digits than its factorization.

203201031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994989 (or 994983 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203201031120 its reverse (21130102302), we get a palindrome (224331133422).

The spelling of 203201031120 in words is "two hundred three billion, two hundred one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 60 69 74 80 92 111 115 120 138 148 184 185 222 230 240 276 296 345 368 370 444 460 552 555 592 690 740 851 888 920 1104 1110 1380 1480 1702 1776 1840 2220 2553 2760 2960 3404 4255 4440 5106 5520 6808 8510 8880 10212 12765 13616 17020 20424 25530 34040 40848 51060 68080 102120 204240 994913 1989826 2984739 3979652 4974565 5969478 7959304 9949130 11938956 14923695 15918608 19898260 22882999 23877912 29847390 36811781 39796520 45765998 47755824 59694780 68648997 73623562 79593040 91531996 110435343 114414995 119389560 137297994 147247124 183063992 184058905 220870686 228829990 238779120 274595988 294494248 343244985 366127984 368117810 441741372 457659980 549191976 552176715 588988496 686489970 736235620 846670963 883482744 915319960 1098383952 1104353430 1372979940 1472471240 1693341926 1766965488 1830639920 2208706860 2540012889 2745959880 2944942480 3386683852 4233354815 4417413720 5080025778 5491919760 6773367704 8466709630 8834827440 10160051556 12700064445 13546735408 16933419260 20320103112 25400128890 33866838520 40640206224 50800257780 67733677040 101600515560 203201031120