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106630351450 = 2527867735111
BaseRepresentation
bin110001101001110101…
…0100000101001011010
3101012020020211002112221
41203103222200221122
53221334332221300
6120552454254254
710463254014130
oct1432352405132
9335206732487
10106630351450
11412490652a7
12187ba35738a
13a09437001c
145237877750
152b9138831a
hex18d3aa0a5a

106630351450 has 48 divisors (see below), whose sum is σ = 226698240384. Its totient is φ = 36553723200.

The previous prime is 106630351447. The next prime is 106630351511. The reversal of 106630351450 is 54153036601.

106630351450 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 2×1066303514502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3019395 + ... + 3054505.

It is an arithmetic number, because the mean of its divisors is an integer number (4722880008).

Almost surely, 2106630351450 is an apocalyptic number.

106630351450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106630351450 is an abundant number, since it is smaller than the sum of its proper divisors (120067888934).

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

106630351450 is a wasteful number, since it uses less digits than its factorization.

106630351450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43807 (or 43802 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 106630351450 in words is "one hundred six billion, six hundred thirty million, three hundred fifty-one thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 8677 17354 35111 43385 60739 70222 86770 121478 175555 216925 245777 303695 351110 433850 491554 607390 877775 1228885 1518475 1755550 2457770 3036950 6144425 12288850 304658147 609316294 1523290735 2132607029 3046581470 4265214058 7616453675 10663035145 15232907350 21326070290 53315175725 106630351450