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901144284027 = 31372433190151
BaseRepresentation
bin11010001110100000110…
…00101000101101111011
310012011000021221201211020
431013100120220231323
5104231020414042102
61525551401233523
7122051124013401
oct15072030505573
93164007851736
10901144284027
1131819a501379
121267934928a3
1366c92873550
1431889371471
1518692c0dbbc
hexd1d0628b7b

901144284027 has 16 divisors (see below), whose sum is σ = 1294129820928. Its totient is φ = 554473591200.

The previous prime is 901144283989. The next prime is 901144284037. The reversal of 901144284027 is 720482441109.

901144284027 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 901144284027 - 210 = 901144283003 is a prime.

It is a super-2 number, since 2×9011442840272 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 901144284027.

It is not an unprimeable number, because it can be changed into a prime (901144284037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312599 + ... + 1877552.

It is an arithmetic number, because the mean of its divisors is an integer number (80883113808).

Almost surely, 2901144284027 is an apocalyptic number.

901144284027 is a deficient number, since it is larger than the sum of its proper divisors (392985536901).

901144284027 is a wasteful number, since it uses less digits than its factorization.

901144284027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197410.

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 901144284027 in words is "nine hundred one billion, one hundred forty-four million, two hundred eighty-four thousand, twenty-seven".

Divisors: 1 3 13 39 7243 21729 94159 282477 3190151 9570453 41471963 124415889 23106263693 69318791079 300381428009 901144284027