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1021222114000 = 2453111732511069
BaseRepresentation
bin11101101110001011001…
…01001101001011010000
310121121221201120111222021
432313011211031023100
5113212430330122000
62101050514021224
7133531556513344
oct16670545151320
93547851514867
101021222114000
11364109295290
12145b05277814
13753bac0b34a
14375dab77624
151b86e93a11a
hexedc594d2d0

1021222114000 has 320 divisors, whose sum is σ = 2722708235520. Its totient is φ = 367392000000.

The previous prime is 1021222113997. The next prime is 1021222114013. The reversal of 1021222114000 is 4112221201.

1021222114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10212221140002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 955305466 + ... + 955306534.

It is an arithmetic number, because the mean of its divisors is an integer number (8508463236).

Almost surely, 21021222114000 is an apocalyptic number.

1021222114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021222114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361354117760).

1021222114000 is an abundant number, since it is smaller than the sum of its proper divisors (1701486121520).

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

1021222114000 is a wasteful number, since it uses less digits than its factorization.

1021222114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1021222114000 its reverse (4112221201), we get a palindrome (1025334335201).

It can be divided in two parts, 102122 and 2114000, that added together give a palindrome (2216122).

The spelling of 1021222114000 in words is "one trillion, twenty-one billion, two hundred twenty-two million, one hundred fourteen thousand".