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10100111003130 = 2354718613849113
BaseRepresentation
bin1001001011111001110110…
…0001110100110111111010
31022202120011002202010202010
42102332131201310313322
52310440011404100010
633251532115150350
72061465111003141
oct222763541646772
938676132663663
1010100111003130
113244484396445
1211715768a53b6
13583589961a95
1426cbc2c06758
15127ad8ca7620
hex92f9d874dfa

10100111003130 has 64 divisors (see below), whose sum is σ = 24769325726208. Its totient is φ = 2634640181760.

The previous prime is 10100111003111. The next prime is 10100111003137. The reversal of 10100111003130 is 3130011100101.

It is not an unprimeable number, because it can be changed into a prime (10100111003137) 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, 699454 + ... + 4548566.

It is an arithmetic number, because the mean of its divisors is an integer number (387020714472).

Almost surely, 210100111003130 is an apocalyptic number.

10100111003130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100111003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384662863104).

10100111003130 is an abundant number, since it is smaller than the sum of its proper divisors (14669214723078).

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

10100111003130 is a wasteful number, since it uses less digits than its factorization.

10100111003130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851031.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10100111003130 its reverse (3130011100101), we get a palindrome (13230122103231).

The spelling of 10100111003130 in words is "ten trillion, one hundred billion, one hundred eleven million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 1861 3722 5583 9305 11166 18610 27915 55830 87467 174934 262401 437335 524802 874670 1312005 2624010 3849113 7698226 11547339 19245565 23094678 38491130 57736695 115473390 180908311 361816622 542724933 904541555 1085449866 1809083110 2713624665 5427249330 7163199293 14326398586 21489597879 35815996465 42979195758 71631992930 107447989395 214895978790 336670366771 673340733542 1010011100313 1683351833855 2020022200626 3366703667710 5050055501565 10100111003130