Search a number
-
+
100110042330130 = 2572533911985639
BaseRepresentation
bin10110110000110010101111…
…100000101111010000010010
3111010110102111222101002200101
4112300302233200233100102
5101110200331314031010
6552525530223443014
730041466113414200
oct2660625740572022
9433412458332611
10100110042330130
1129997481039568
12b289bb675646a
1343b244b344161
141aa14cd894070
15b8915a47973a
hex5b0caf82f412

100110042330130 has 96 divisors (see below), whose sum is σ = 213628055166720. Its totient is φ = 33667186250880.

The previous prime is 100110042330113. The next prime is 100110042330203. The reversal of 100110042330130 is 31033240011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110042330098 and 100110042330107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101075851 + ... + 102061489.

It is an arithmetic number, because the mean of its divisors is an integer number (2225292241320).

Almost surely, 2100110042330130 is an apocalyptic number.

100110042330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110042330130 is an abundant number, since it is smaller than the sum of its proper divisors (113518012836590).

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

100110042330130 is a wasteful number, since it uses less digits than its factorization.

100110042330130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989624 (or 989617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100110042330130 its reverse (31033240011001), we get a palindrome (131143282341131).

The spelling of 100110042330130 in words is "one hundred trillion, one hundred ten billion, forty-two million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 245 265 371 490 530 742 1855 2597 3710 3911 5194 7822 12985 19555 25970 27377 39110 54754 136885 191639 207283 273770 383278 414566 958195 985639 1036415 1450981 1916390 1971278 2072830 2901962 4928195 6899473 7254905 9856390 10156867 13798946 14509810 20313734 34497365 48296311 50784335 52238867 68994730 96592622 101568670 104477734 241481555 261194335 365672069 482963110 522388670 731344138 1828360345 2559704483 3656720690 3854834129 5119408966 7709668258 12798522415 19274170645 25597044830 26983838903 38548341290 53967677806 134919194515 188886872321 204306208837 269838389030 377773744642 408612417674 944434361605 1021531044185 1430143461859 1888868723210 2043062088370 2860286923718 7150717309295 10011004233013 14301434618590 20022008466026 50055021165065 100110042330130