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103041262404 = 2233432813
BaseRepresentation
bin101111111110110111…
…1001110001101000100
3100211222010022110222000
41133331233032031010
53142012030344104
6115200403505300
710305313164513
oct1377557161504
9324863273860
10103041262404
113a777119603
1217b78388230
1399419102b2
144db6d2867a
152a3122e639
hex17fdbce344

103041262404 has 96 divisors (see below), whose sum is σ = 274332938880. Its totient is φ = 33428928960.

The previous prime is 103041262381. The next prime is 103041262451. The reversal of 103041262404 is 404262140301.

It is a happy number.

103041262404 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 412 + 6 + 240 + 4 = 666.

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

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, 366694744 + ... + 366695024.

It is an arithmetic number, because the mean of its divisors is an integer number (2857634780).

Almost surely, 2103041262404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103041262404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137166469440).

103041262404 is an abundant number, since it is smaller than the sum of its proper divisors (171291676476).

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

103041262404 is an frugal number, since it uses more digits than its factorization.

103041262404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 103041262404 in words is "one hundred three billion, forty-one million, two hundred sixty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 281 387 516 562 774 843 1124 1161 1548 1686 2322 2529 3372 4644 5058 7587 10116 12083 15174 24166 30348 36249 48332 72498 78961 108747 144996 157922 217494 236883 315844 326241 434988 473766 652482 710649 947532 1304964 1421298 2131947 2842596 3395323 4263894 6790646 8527788 10185969 13581292 20371938 22188041 30557907 40743876 44376082 61115814 66564123 88752164 91673721 122231628 133128246 183347442 199692369 266256492 366694884 399384738 599077107 798769476 954085763 1198154214 1908171526 2396308428 2862257289 3816343052 5724514578 8586771867 11449029156 17173543734 25760315601 34347087468 51520631202 103041262404