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1008012357 = 381113967
BaseRepresentation
bin111100000101010…
…000110001000101
32121020202100000000
4330011100301011
54031022343412
6244005111513
733656651352
oct7405206105
92536670000
101008012357
11477aa6670
122416b8599
13130ab4121
1497c35629
155d7654dc
hex3c150c45

1008012357 has 36 divisors (see below), whose sum is σ = 1649509056. Its totient is φ = 610872840.

The previous prime is 1008012259. The next prime is 1008012361. The reversal of 1008012357 is 7532108001.

It is not a de Polignac number, because 1008012357 - 214 = 1007995973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1008012357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008012367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65188 + ... + 79154.

It is an arithmetic number, because the mean of its divisors is an integer number (45819696).

Almost surely, 21008012357 is an apocalyptic number.

It is an amenable number.

1008012357 is a deficient number, since it is larger than the sum of its proper divisors (641496699).

1008012357 is an frugal number, since it uses more digits than its factorization.

1008012357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14002 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1008012357 is about 31749.2103366367. The cubic root of 1008012357 is about 1002.6636841536.

The spelling of 1008012357 in words is "one billion, eight million, twelve thousand, three hundred fifty-seven".

Divisors: 1 3 9 11 27 33 81 99 243 297 729 891 2187 2673 6561 8019 13967 24057 41901 72171 125703 153637 377109 460911 1131327 1382733 3393981 4148199 10181943 12444597 30545829 37333791 91637487 112001373 336004119 1008012357