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1012144222240 = 25522727867407
BaseRepresentation
bin11101011101010000111…
…11110011000000100000
310120202112001220211112221
432232220133303000200
5113040332410102430
62052550031200424
7133060606636534
oct16565037630040
93522461824487
101012144222240
113602800328a8
121441b1076114
13745a2288468
1436db9287bc4
151b4dc9c457a
hexeba87f3020

1012144222240 has 48 divisors (see below), whose sum is σ = 2401724691072. Its totient is φ = 403074160384.

The previous prime is 1012144222231. The next prime is 1012144222253. The reversal of 1012144222240 is 422224412101.

It is a super-2 number, since 2×10121442222402 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13897384 + ... + 13970023.

It is an arithmetic number, because the mean of its divisors is an integer number (50035931064).

Almost surely, 21012144222240 is an apocalyptic number.

1012144222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012144222240 is an abundant number, since it is smaller than the sum of its proper divisors (1389580468832).

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

1012144222240 is a wasteful number, since it uses less digits than its factorization.

1012144222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27867649 (or 27867641 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1012144222240 its reverse (422224412101), we get a palindrome (1434368634341).

The spelling of 1012144222240 in words is "one trillion, twelve billion, one hundred forty-four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1816 2270 3632 4540 7264 9080 18160 36320 27867407 55734814 111469628 139337035 222939256 278674070 445878512 557348140 891757024 1114696280 2229392560 4458785120 6325901389 12651802778 25303605556 31629506945 50607211112 63259013890 101214422224 126518027780 202428844448 253036055560 506072111120 1012144222240