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103311433040 = 2451797783137
BaseRepresentation
bin110000000110111010…
…1110101110101010000
3100212122221200120101212
41200031311311311100
53143040211324130
6115243254315252
710315103456144
oct1401565656520
9325587616355
10103311433040
113a8a5679822
1218032958b28
13998589598a
145000b75224
152a49ce9e95
hex180dd75d50

103311433040 has 80 divisors (see below), whose sum is σ = 256950710352. Its totient is φ = 38492700672.

The previous prime is 103311433039. The next prime is 103311433109. The reversal of 103311433040 is 40334113301.

It can be written as a sum of positive squares in 8 ways, for example, as 15489295936 + 87822137104 = 124456^2 + 296348^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 103311432997 and 103311433015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259649 + ... + 523488.

Almost surely, 2103311433040 is an apocalyptic number.

103311433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103311433040 is an abundant number, since it is smaller than the sum of its proper divisors (153639277312).

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

103311433040 is a wasteful number, since it uses less digits than its factorization.

103311433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783264 (or 783258 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 103311433040 its reverse (40334113301), we get a palindrome (143645546341).

The spelling of 103311433040 in words is "one hundred three billion, three hundred eleven million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 388 485 680 776 970 1360 1552 1649 1940 3298 3880 6596 7760 8245 13192 16490 26384 32980 65960 131920 783137 1566274 3132548 3915685 6265096 7831370 12530192 13313329 15662740 26626658 31325480 53253316 62650960 66566645 75964289 106506632 133133290 151928578 213013264 266266580 303857156 379821445 532533160 607714312 759642890 1065066320 1215428624 1291392913 1519285780 2582785826 3038571560 5165571652 6077143120 6456964565 10331143304 12913929130 20662286608 25827858260 51655716520 103311433040