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1020114210399 = 31372838770423
BaseRepresentation
bin11101101100000111000…
…10111000111001011111
310121112002111212011221120
432312003202320321133
5113203143214213044
62100344535502023
7133462244501604
oct16660342707137
93545074764846
101020114210399
1136369a971979
12145856227913
137527252109b
143753397c6ab
151b807542519
hexed838b8e5f

1020114210399 has 16 divisors (see below), whose sum is σ = 1374921829632. Its totient is φ = 672726449088.

The previous prime is 1020114210389. The next prime is 1020114210421. The reversal of 1020114210399 is 9930124110201.

It is not a de Polignac number, because 1020114210399 - 233 = 1011524275807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020114210389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4268899 + ... + 4501524.

It is an arithmetic number, because the mean of its divisors is an integer number (85932614352).

Almost surely, 21020114210399 is an apocalyptic number.

1020114210399 is a deficient number, since it is larger than the sum of its proper divisors (354807619233).

1020114210399 is a wasteful number, since it uses less digits than its factorization.

1020114210399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770846.

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 1020114210399 in words is "one trillion, twenty billion, one hundred fourteen million, two hundred ten thousand, three hundred ninety-nine".

Divisors: 1 3 137 283 411 849 38771 116313 8770423 26311269 1201547951 2482029709 3604643853 7446089127 340038070133 1020114210399