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1005141145332 = 223137803607837
BaseRepresentation
bin11101010000001110001…
…01001011011011110100
310120002110000101200001010
432220013011023123310
5112432012113122312
62045431103032220
7132422222523642
oct16500705133364
93502400350033
101005141145332
11358306a77535
1214297789b670
1373a27445b7c
143691316a192
151b22cc9d93c
hexea0714b6f4

1005141145332 has 24 divisors (see below), whose sum is σ = 2345350217056. Its totient is φ = 335044065888.

The previous prime is 1005141145301. The next prime is 1005141145343. The reversal of 1005141145332 is 2335411415001.

1005141145332 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 self number, because there is not a number n which added to its sum of digits gives 1005141145332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1349718 + ... + 1957554.

Almost surely, 21005141145332 is an apocalyptic number.

1005141145332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005141145332 is an abundant number, since it is smaller than the sum of its proper divisors (1340209071724).

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

1005141145332 is a wasteful number, since it uses less digits than its factorization.

1005141145332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745647 (or 745645 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1005141145332 in words is "one trillion, five billion, one hundred forty-one million, one hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 137803 275606 413409 551212 607837 826818 1215674 1653636 1823511 2431348 3647022 7294044 83761762111 167523524222 251285286333 335047048444 502570572666 1005141145332