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103044413304 = 23337213731891
BaseRepresentation
bin101111111110111101…
…1001111011101111000
3100211222100020120012000
41133331323033131320
53142013332211204
6115200555221000
710305352030020
oct1377573173570
9324870216160
10103044413304
113a778980958
1217b79447760
139942474531
144db7508a80
152a31653039
hex17fdecf778

103044413304 has 128 divisors (see below), whose sum is σ = 327288460800. Its totient is φ = 29426561280.

The previous prime is 103044413267. The next prime is 103044413359. The reversal of 103044413304 is 403314440301.

103044413304 is a `hidden beast` number, since 1 + 0 + 304 + 44 + 13 + 304 = 666.

It is a super-2 number, since 2×1030444133042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3215199 + ... + 3247089.

It is an arithmetic number, because the mean of its divisors is an integer number (2556941100).

Almost surely, 2103044413304 is an apocalyptic number.

103044413304 is a gapful number since it is divisible by the number (14) 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 103044413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163644230400).

103044413304 is an abundant number, since it is smaller than the sum of its proper divisors (224244047496).

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

103044413304 is a wasteful number, since it uses less digits than its factorization.

103044413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34050 (or 34040 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103044413304 its reverse (403314440301), we get a palindrome (506358853605).

The spelling of 103044413304 in words is "one hundred three billion, forty-four million, four hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2137 4274 6411 8548 12822 14959 17096 19233 25644 29918 31891 38466 44877 51288 57699 59836 63782 76932 89754 95673 115398 119672 127564 134631 153864 179508 191346 223237 230796 255128 269262 287019 359016 382692 403893 446474 461592 538524 574038 669711 765384 807786 861057 892948 1077048 1148076 1339422 1615572 1722114 1785896 2009133 2296152 2678844 3231144 3444228 4018266 5357688 6027399 6888456 8036532 12054798 16073064 24109596 48219192 68151067 136302134 204453201 272604268 408906402 477057469 545208536 613359603 817812804 954114938 1226719206 1431172407 1635625608 1840078809 1908229876 2453438412 2862344814 3680157618 3816459752 4293517221 4906876824 5724689628 7360315236 8587034442 11449379256 12880551663 14720630472 17174068884 25761103326 34348137768 51522206652 103044413304