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10230021340 = 22571189101739
BaseRepresentation
bin10011000011100000…
…11011110011011100
3222101221120221002021
421201300123303130
5131422341140330
64411040505524
7511336514050
oct114160336334
928357527067
1010230021340
11437a6424a0
121b9601b2a4
13c70556386
146d091bc60
153ed19767a
hex261c1bcdc

10230021340 has 192 divisors, whose sum is σ = 27390182400. Its totient is φ = 3117312000.

The previous prime is 10230021317. The next prime is 10230021413. The reversal of 10230021340 is 4312003201.

It is a happy number.

10230021340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13842691 + ... + 13843429.

It is an arithmetic number, because the mean of its divisors is an integer number (142657200).

Almost surely, 210230021340 is an apocalyptic number.

10230021340 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 10230021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695091200).

10230021340 is an abundant number, since it is smaller than the sum of its proper divisors (17160161060).

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

10230021340 is a wasteful number, since it uses less digits than its factorization.

10230021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10230021340 its reverse (4312003201), we get a palindrome (14542024541).

The spelling of 10230021340 in words is "ten billion, two hundred thirty million, twenty-one thousand, three hundred forty".