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10303131100 = 225243532853
BaseRepresentation
bin10011001100001110…
…10100110111011100
3222121001011021211011
421212013110313130
5132100100143400
64422211505004
7513215112043
oct114607246734
928531137734
1010303131100
114407937989
121bb65b8164
13c827434a2
146da50d55a
154047d98ba
hex2661d4ddc

10303131100 has 108 divisors (see below), whose sum is σ = 23344879096. Its totient is φ = 3944828160.

The previous prime is 10303131079. The next prime is 10303131103. The reversal of 10303131100 is 113130301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303131103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12078274 + ... + 12079126.

Almost surely, 210303131100 is an apocalyptic number.

10303131100 is a gapful number since it is divisible by the number (10) 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 10303131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672439548).

10303131100 is an abundant number, since it is smaller than the sum of its proper divisors (13041747996).

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

10303131100 is a wasteful number, since it uses less digits than its factorization.

10303131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10303131100 its reverse (113130301), we get a palindrome (10416261401).

The spelling of 10303131100 in words is "ten billion, three hundred three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 172 212 215 265 430 530 853 860 1060 1075 1325 1706 2150 2279 2650 2809 3412 4265 4300 4558 5300 5618 8530 9116 11236 11395 14045 17060 21325 22790 28090 36679 42650 45209 45580 56180 56975 70225 73358 85300 90418 113950 120787 140450 146716 180836 183395 226045 227900 241574 280900 366790 452090 483148 603935 733580 904180 916975 1130225 1207870 1833950 1943987 2260450 2396077 2415740 3019675 3667900 3887974 4520900 4792154 6039350 7775948 9584308 9719935 11980385 12078700 19439870 23960770 38879740 47921540 48599675 59901925 97199350 103031311 119803850 194398700 206062622 239607700 412125244 515156555 1030313110 2060626220 2575782775 5151565550 10303131100