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210045540012 = 2237111012250713
BaseRepresentation
bin1100001110011110110…
…0001001011010101100
3202002011102201222202220
43003213230021122230
511420133124240022
6240254340515340
721114060426450
oct3034754113254
9662142658686
10210045540012
1181097260090
123485b9abb50
1316a655929a9
14a2482da660
1556e532a85c
hex30e7b096ac

210045540012 has 96 divisors (see below), whose sum is σ = 617091761664. Its totient is φ = 54017088000.

The previous prime is 210045539993. The next prime is 210045540077.

210045540012 is nontrivially palindromic in base 10.

210045540012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1032033 + ... + 1218680.

It is an arithmetic number, because the mean of its divisors is an integer number (6428039184).

Almost surely, 2210045540012 is an apocalyptic number.

210045540012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210045540012 is an abundant number, since it is smaller than the sum of its proper divisors (407046221652).

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

210045540012 is a wasteful number, since it uses less digits than its factorization.

210045540012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250839 (or 2250837 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 210045 and 540012, that added together give a palindrome (750057).

The spelling of 210045540012 in words is "two hundred ten billion, forty-five million, five hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 13332 15554 23331 31108 46662 93324 2250713 4501426 6752139 9002852 13504278 15754991 24757843 27008556 31509982 47264973 49515686 63019964 74273529 94529946 99031372 148547058 173304901 189059892 227322013 297094116 346609802 454644026 519914703 681966039 693219604 909288052 1039829406 1363932078 1591254091 2079658812 2500542143 2727864156 3182508182 4773762273 5001084286 6365016364 7501626429 9547524546 10002168572 15003252858 17503795001 19095049092 30006505716 35007590002 52511385003 70015180004 105022770006 210045540012