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10020421421340 = 223511232572568509
BaseRepresentation
bin1001000111010000111110…
…1010001100100100011100
31022110221110101201221110220
42101310033222030210130
52303133310340440330
633151152411001340
72052644245511661
oct221641752144434
938427411657426
1010020421421340
11321370072a140
12115a036a39250
13578bc9c34aa5
14268dc3393a68
151259c2ba4710
hex91d0fa8c91c

10020421421340 has 192 divisors, whose sum is σ = 32062895262720. Its totient is φ = 2314533928960.

The previous prime is 10020421421333. The next prime is 10020421421341. The reversal of 10020421421340 is 4312412402001.

It is a super-2 number, since 2×100204214213402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10020421421340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020421421341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617006 + ... + 5185514.

It is an arithmetic number, because the mean of its divisors is an integer number (166994246160).

Almost surely, 210020421421340 is an apocalyptic number.

10020421421340 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 10020421421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031447631360).

10020421421340 is an abundant number, since it is smaller than the sum of its proper divisors (22042473841380).

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

10020421421340 is a wasteful number, since it uses less digits than its factorization.

10020421421340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568812 (or 2568810 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10020421421340 its reverse (4312412402001), we get a palindrome (14332833823341).

The spelling of 10020421421340 in words is "ten trillion, twenty billion, four hundred twenty-one million, four hundred twenty-one thousand, three hundred forty".