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1005143123412 = 223269594012163
BaseRepresentation
bin11101010000001110011…
…00101110010111010100
310120002110011010011110100
432220013030232113110
5112432013114422122
62045431213254100
7132422245402641
oct16500714562724
93502404104410
101005143123412
113583080a870a
12142978494330
1373a2798932c
1436913522dc8
151b22d03eaac
hexea0732e5d4

1005143123412 has 36 divisors (see below), whose sum is σ = 2541144191040. Its totient is φ = 334999478352.

The previous prime is 1005143123401. The next prime is 1005143123437. The reversal of 1005143123412 is 2143213415001.

1005143123412 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 4 + 312 + 341 + 2 = 666.

1005143123412 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 a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1755558 + ... + 2256605.

It is an arithmetic number, because the mean of its divisors is an integer number (70587338640).

Almost surely, 21005143123412 is an apocalyptic number.

1005143123412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005143123412 is an abundant number, since it is smaller than the sum of its proper divisors (1536001067628).

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

1005143123412 is a wasteful number, since it uses less digits than its factorization.

1005143123412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019132 (or 4019127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1005143123412 its reverse (2143213415001), we get a palindrome (3148356538413).

The spelling of 1005143123412 in words is "one trillion, five billion, one hundred forty-three million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 6959 13918 20877 27836 41754 62631 83508 125262 250524 4012163 8024326 12036489 16048652 24072978 36109467 48145956 72218934 144437868 27920642317 55841284634 83761926951 111682569268 167523853902 251285780853 335047707804 502571561706 1005143123412