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10242021000000 = 2635614092423
BaseRepresentation
bin1001010100001010100000…
…0001100000001101000000
31100021010110001102220122010
42111002220001200031000
52320301124334000000
633441041451012520
72104650554036346
oct225025001401500
940233401386563
1010242021000000
113299686933499
121194b8013a140
13593a8414792a
14275a05d81996
1512b64250dd50
hex950a8060340

10242021000000 has 392 divisors, whose sum is σ = 33910947184320. Its totient is φ = 2728140800000.

The previous prime is 10242020999981. The next prime is 10242021000019. The reversal of 10242021000000 is 12024201.

It is an interprime number because it is at equal distance from previous prime (10242020999981) and next prime (10242021000019).

It is a super-3 number, since 3×102420210000003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10242021000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4226998789 + ... + 4227001211.

Almost surely, 210242021000000 is an apocalyptic number.

10242021000000 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 10242021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955473592160).

10242021000000 is an abundant number, since it is smaller than the sum of its proper divisors (23668926184320).

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

10242021000000 is an frugal number, since it uses more digits than its factorization.

10242021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10242021000000 its reverse (12024201), we get a palindrome (10242033024201).

It can be divided in two parts, 1024202 and 1000000, that added together give a palindrome (2024202).

The spelling of 10242021000000 in words is "ten trillion, two hundred forty-two billion, twenty-one million", and thus it is an aban number.