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103048306428 = 223177314946441
BaseRepresentation
bin101111111111000101…
…0000101111011111100
3100211222121120100112210
41133332022011323330
53142020331301203
6115201214500420
710305430103154
oct1377612057374
9324877510483
10103048306428
113a78009a911
1217b7a804710
139943208562
144db7c3d764
152a31b71803
hex17fe285efc

103048306428 has 96 divisors (see below), whose sum is σ = 259815124800. Its totient is φ = 31671336960.

The previous prime is 103048306421. The next prime is 103048306429. The reversal of 103048306428 is 824603840301.

It is a happy number.

It is a super-2 number, since 2×1030483064282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103048306421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195688 + ... + 2242128.

It is an arithmetic number, because the mean of its divisors is an integer number (2706407550).

Almost surely, 2103048306428 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 103048306428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129907562400).

103048306428 is an abundant number, since it is smaller than the sum of its proper divisors (156766818372).

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

103048306428 is a wasteful number, since it uses less digits than its factorization.

103048306428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46687 (or 46685 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 103048306428 in words is "one hundred three billion, forty-eight million, three hundred six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 149 204 219 292 298 438 447 596 876 894 1241 1788 2482 2533 3723 4964 5066 7446 7599 10132 10877 14892 15198 21754 30396 32631 43508 46441 65262 92882 130524 139323 184909 185764 278646 369818 554727 557292 739636 789497 1109454 1578994 2218908 2368491 3157988 3390193 4736982 6780386 6919709 9473964 10170579 13560772 13839418 20341158 20759127 27678836 40682316 41518254 57633281 83036508 115266562 117635053 172899843 230533124 235270106 345799686 352905159 470540212 505138757 691599372 705810318 1010277514 1411620636 1515416271 2020555028 3030832542 6061665084 8587358869 17174717738 25762076607 34349435476 51524153214 103048306428