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103031404410 = 23511259481073
BaseRepresentation
bin101111111110100100…
…1100111011101111010
3100211221102202122100010
41133331021213131322
53142002014420120
6115155412322350
710305133326144
oct1377511473572
9324842678303
10103031404410
113a7715a6100
1217b750133b6
13993c86b26c
144db58bdc94
152a304337e0
hex17fd26777a

103031404410 has 96 divisors (see below), whose sum is σ = 276405877440. Its totient is φ = 24553914880.

The previous prime is 103031404397. The next prime is 103031404471. The reversal of 103031404410 is 14404130301.

103031404410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26367 + ... + 454706.

It is an arithmetic number, because the mean of its divisors is an integer number (2879227890).

Almost surely, 2103031404410 is an apocalyptic number.

103031404410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103031404410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138202938720).

103031404410 is an abundant number, since it is smaller than the sum of its proper divisors (173374473030).

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

103031404410 is a wasteful number, since it uses less digits than its factorization.

103031404410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481164 (or 481153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103031404410 its reverse (14404130301), we get a palindrome (117435534711).

The spelling of 103031404410 in words is "one hundred three billion, thirty-one million, four hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 121 165 177 242 295 330 354 363 590 605 649 726 885 1210 1298 1770 1815 1947 3245 3630 3894 6490 7139 9735 14278 19470 21417 35695 42834 71390 107085 214170 481073 962146 1443219 2405365 2886438 4810730 5291803 7216095 10583606 14432190 15875409 26459015 28383307 31750818 52918030 56766614 58209833 79377045 85149921 116419666 141916535 158754090 170299842 174629499 283833070 291049165 312216377 349258998 425749605 582098330 624432754 851499210 873147495 936649131 1561081885 1746294990 1873298262 3122163770 3434380147 4683245655 6868760294 9366491310 10303140441 17171900735 20606280882 34343801470 51515702205 103031404410