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103245331440 = 2435937459113
BaseRepresentation
bin110000000100111100…
…1101011101111110000
3100212111100022021001110
41200021321223233300
53142421301101230
6115232533433320
710313341560126
oct1401171535760
9325440267043
10103245331440
113a8713306a9
121801479b840
139974c906c4
144dd6089916
152a440de4b0
hex1809e6bbf0

103245331440 has 80 divisors (see below), whose sum is σ = 320402805408. Its totient is φ = 27502645248.

The previous prime is 103245331393. The next prime is 103245331487. The reversal of 103245331440 is 44133542301.

It is an interprime number because it is at equal distance from previous prime (103245331393) and next prime (103245331487).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103245331398 and 103245331407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4677 + ... + 454436.

Almost surely, 2103245331440 is an apocalyptic number.

103245331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103245331440 is an abundant number, since it is smaller than the sum of its proper divisors (217157473968).

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

103245331440 is a wasteful number, since it uses less digits than its factorization.

103245331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460066 (or 460060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 103245331440 its reverse (44133542301), we get a palindrome (147378873741).

The spelling of 103245331440 in words is "one hundred three billion, two hundred forty-five million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 937 1874 2811 3748 4685 5622 7496 9370 11244 14055 14992 18740 22488 28110 37480 44976 56220 74960 112440 224880 459113 918226 1377339 1836452 2295565 2754678 3672904 4591130 5509356 6886695 7345808 9182260 11018712 13773390 18364520 22037424 27546780 36729040 55093560 110187120 430188881 860377762 1290566643 1720755524 2150944405 2581133286 3441511048 4301888810 5162266572 6452833215 6883022096 8603777620 10324533144 12905666430 17207555240 20649066288 25811332860 34415110480 51622665720 103245331440