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1021013123214 = 23728438550769
BaseRepresentation
bin11101101101110010001…
…11111110000010001110
310121121102011022200111210
432312321013332002032
5113212013324420324
62101014050355250
7133523441231640
oct16667107760216
93547364280453
101021013123214
11364011321427
12145a6728bb26
1375386826966
14375bb0d4890
151b85b406d29
hexedb91fe08e

1021013123214 has 32 divisors (see below), whose sum is σ = 2334565428480. Its totient is φ = 291615391872.

The previous prime is 1021013123131. The next prime is 1021013123261. The reversal of 1021013123214 is 4123213101201.

It is a super-3 number, since 3×10210131232143 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 4155979 + ... + 4394790.

It is an arithmetic number, because the mean of its divisors is an integer number (72955169640).

Almost surely, 21021013123214 is an apocalyptic number.

1021013123214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1021013123214 is an abundant number, since it is smaller than the sum of its proper divisors (1313552305266).

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

1021013123214 is a wasteful number, since it uses less digits than its factorization.

1021013123214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553624.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1021013123214 its reverse (4123213101201), we get a palindrome (5144226224415).

The spelling of 1021013123214 in words is "one trillion, twenty-one billion, thirteen million, one hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 2843 5686 8529 17058 19901 39802 59703 119406 8550769 17101538 25652307 51304614 59855383 119710766 179566149 359132298 24309836267 48619672534 72929508801 145859017602 170168853869 340337707738 510506561607 1021013123214