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100006110050 = 25271131837923
BaseRepresentation
bin101110100100011010…
…1000010001101100010
3100120010121010202122212
41131020311002031202
53114303031010200
6113535302002122
710140146624030
oct1351065021542
9316117122585
10100006110050
1139459929730
121746ba16342
139579b6b862
144ba9bb1550
152904a45035
hex1748d42362

100006110050 has 96 divisors (see below), whose sum is σ = 239391535104. Its totient is φ = 30165192000.

The previous prime is 100006109981. The next prime is 100006110059. The reversal of 100006110050 is 50011600001.

100006110050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000061100502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100006110059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299612 + ... + 538311.

It is an arithmetic number, because the mean of its divisors is an integer number (2493661824).

Almost surely, 2100006110050 is an apocalyptic number.

100006110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100006110050 is an abundant number, since it is smaller than the sum of its proper divisors (139385425054).

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

100006110050 is a wasteful number, since it uses less digits than its factorization.

100006110050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837984 (or 837979 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 100006110050 its reverse (50011600001), we get a palindrome (150017710051).

The spelling of 100006110050 in words is "one hundred billion, six million, one hundred ten thousand, fifty".

Divisors: 1 2 5 7 10 11 14 22 25 31 35 50 55 62 70 77 110 154 155 175 217 275 310 341 350 385 434 550 682 770 775 1085 1550 1705 1925 2170 2387 3410 3850 4774 5425 8525 10850 11935 17050 23870 59675 119350 837923 1675846 4189615 5865461 8379230 9217153 11730922 18434306 20948075 25975613 29327305 41896150 46085765 51951226 58654610 64520071 92171530 129040142 129878065 146636525 181829291 230428825 259756130 285731743 293273050 322600355 363658582 460857650 571463486 645200710 649390325 909146455 1298780650 1428658715 1613001775 1818292910 2000122201 2857317430 3226003550 4000244402 4545732275 7143293575 9091464550 10000611005 14286587150 20001222010 50003055025 100006110050