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103243533400040 = 235117130809107269
BaseRepresentation
bin10111011110011001000010…
…001000100011011111101000
3111112112222121100122100100212
4113132121002020203133220
5102013020224022300130
61003325231404120252
730514046001143105
oct2736310210433750
9445488540570325
10103243533400040
112a995378061910
12b6b5356536088
13457ba920a9607
141b6d02976baac
15be0904277e95
hex5de6422237e8

103243533400040 has 128 divisors (see below), whose sum is σ = 256995921312000. Its totient is φ = 37012780492800.

The previous prime is 103243533400039. The next prime is 103243533400097. The reversal of 103243533400040 is 40004335342301.

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, 962419526 + ... + 962526794.

It is an arithmetic number, because the mean of its divisors is an integer number (2007780635250).

Almost surely, 2103243533400040 is an apocalyptic number.

103243533400040 is a gapful number since it is divisible by the number (10) 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 103243533400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128497960656000).

103243533400040 is an abundant number, since it is smaller than the sum of its proper divisors (153752387911960).

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

103243533400040 is a wasteful number, since it uses less digits than its factorization.

103243533400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138171 (or 138167 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 103243533400040 its reverse (40004335342301), we get a palindrome (143247868742341).

The spelling of 103243533400040 in words is "one hundred three trillion, two hundred forty-three billion, five hundred thirty-three million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 15620 30809 31240 61618 107269 123236 154045 214538 246472 308090 338899 429076 536345 616180 677798 858152 1072690 1179959 1232360 1355596 1694495 2145380 2187439 2359918 2711192 3388990 4290760 4374878 4719836 5899795 6777980 7616099 8749756 9439672 10937195 11799590 13555960 15232198 17499512 21874390 23599180 24061829 30464396 38080495 43748780 47198360 48123658 60928792 76160990 83777089 87497560 96247316 120309145 152321980 167554178 192494632 240618290 304643960 335108356 418885445 481236580 670216712 837770890 962473160 1675541780 3304850621 3351083560 6609701242 13219402484 16524253105 26438804968 33048506210 36353356831 66097012420 72706713662 132194024840 145413427324 181766784155 234644394091 290826854648 363533568310 469288788182 727067136620 938577576364 1173221970455 1454134273240 1877155152728 2346443940910 2581088335001 4692887881820 5162176670002 9385775763640 10324353340004 12905441675005 20648706680008 25810883350010 51621766700020 103243533400040