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106512210220 = 225131415928933
BaseRepresentation
bin110001100110010011…
…1110101100100101100
3101011221000111220020211
41203030213311210230
53221114111211340
6120533034152204
710460320564063
oct1431447654454
9334830456224
10106512210220
1141198403019
1218786882664
13a075a47180
145225cc31da
152b85ced5ea
hex18cc9f592c

106512210220 has 48 divisors (see below), whose sum is σ = 240906798720. Its totient is φ = 39323448576.

The previous prime is 106512210121. The next prime is 106512210221. The reversal of 106512210220 is 22012215601.

It is a super-2 number, since 2×1065122102202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106512210191 and 106512210200.

It is not an unprimeable number, because it can be changed into a prime (106512210221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3666874 + ... + 3695806.

It is an arithmetic number, because the mean of its divisors is an integer number (5018891640).

Almost surely, 2106512210220 is an apocalyptic number.

106512210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106512210220 is an abundant number, since it is smaller than the sum of its proper divisors (134394588500).

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

106512210220 is a wasteful number, since it uses less digits than its factorization.

106512210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43114 (or 43112 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 106512210220 its reverse (22012215601), we get a palindrome (128524425821).

The spelling of 106512210220 in words is "one hundred six billion, five hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 14159 28318 28933 56636 57866 70795 115732 141590 144665 184067 283180 289330 368134 376129 578660 736268 752258 920335 1504516 1840670 1880645 3681340 3761290 7522580 409662347 819324694 1638649388 2048311735 4096623470 5325610511 8193246940 10651221022 21302442044 26628052555 53256105110 106512210220