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103300441232 = 2419715239151
BaseRepresentation
bin110000000110100101…
…1111010010010010000
3100212122012000010110212
41200031023322102100
53143024403104412
6115242222543252
710314611156102
oct1401513722220
9325565003425
10103300441232
113a89a45148a
121802b137b28
139983517851
144ddd513572
152a48d78222
hex180d2fa490

103300441232 has 80 divisors (see below), whose sum is σ = 214077726720. Its totient is φ = 48145104000.

The previous prime is 103300441219. The next prime is 103300441253. The reversal of 103300441232 is 232144003301.

It is a junction number, because it is equal to n+sod(n) for n = 103300441198 and 103300441207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11283857 + ... + 11293007.

It is an arithmetic number, because the mean of its divisors is an integer number (2675971584).

Almost surely, 2103300441232 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 103300441232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107038863360).

103300441232 is an abundant number, since it is smaller than the sum of its proper divisors (110777285488).

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

103300441232 is a wasteful number, since it uses less digits than its factorization.

103300441232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 103300441232 its reverse (232144003301), we get a palindrome (335444444533).

The spelling of 103300441232 in words is "one hundred three billion, three hundred million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 523 568 1046 1136 1349 2092 2698 4184 5396 8368 9151 9937 10792 18302 19874 21584 36604 37133 39748 73208 74266 79496 146416 148532 158992 173869 297064 347738 594128 649721 695476 705527 1299442 1390952 1411054 2598884 2781904 2822108 4785973 5197768 5644216 9571946 10395536 11288432 12344699 19143892 24689398 38287784 49378796 76575568 90933487 98757592 181866974 197515184 339804083 363733948 679608166 727467896 1359216332 1454935792 2718432664 5436865328 6456277577 12912555154 25825110308 51650220616 103300441232