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10213244331000 = 23353291013373449
BaseRepresentation
bin1001010010011111010011…
…0011001110001111111000
31100011101011120001122220120
42110213310303032033320
52314313211022043000
633415522155053240
72102611500300234
oct224476463161770
940141146048816
1010213244331000
11328845a191117
12118b48aa41220
13591149355639
142744761bb5c4
1512aa0aecd6a0
hex949f4cce3f8

10213244331000 has 512 divisors, whose sum is σ = 33398969760000. Its totient is φ = 2595102720000.

The previous prime is 10213244330999. The next prime is 10213244331011. The reversal of 10213244331000 is 13344231201.

It is a happy number.

It is a super-2 number, since 2×102132443310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2961217276 + ... + 2961220724.

Almost surely, 210213244331000 is an apocalyptic number.

10213244331000 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 10213244331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699484880000).

10213244331000 is an abundant number, since it is smaller than the sum of its proper divisors (23185725429000).

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

10213244331000 is a wasteful number, since it uses less digits than its factorization.

10213244331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10213244331000 its reverse (13344231201), we get a palindrome (10226588562201).

The spelling of 10213244331000 in words is "ten trillion, two hundred thirteen billion, two hundred forty-four million, three hundred thirty-one thousand".