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10230399740 = 22511173477883
BaseRepresentation
bin10011000011100011…
…11000001011111100
3222101222022011011002
421201301320023330
5131422440242430
64411052545432
7511342651211
oct114161701374
928358264132
1010230399740
11437a880820
121b96182278
13c70659692
146d09b9b08
153ed21e845
hex261c782fc

10230399740 has 96 divisors (see below), whose sum is σ = 24890229504. Its totient is φ = 3490780160.

The previous prime is 10230399719. The next prime is 10230399761. The reversal of 10230399740 is 4799303201.

10230399740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10230399719) and next prime (10230399761).

It is a super-2 number, since 2×102303997402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10230399694 and 10230399703.

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 31 ways as a sum of consecutive naturals, for example, 1293839 + ... + 1301721.

It is an arithmetic number, because the mean of its divisors is an integer number (259273224).

Almost surely, 210230399740 is an apocalyptic number.

10230399740 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 10230399740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445114752).

10230399740 is an abundant number, since it is smaller than the sum of its proper divisors (14659829764).

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

10230399740 is a wasteful number, since it uses less digits than its factorization.

10230399740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The spelling of 10230399740 in words is "ten billion, two hundred thirty million, three hundred ninety-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 347 374 694 748 935 1388 1735 1870 3470 3740 3817 5899 6940 7634 7883 11798 15268 15766 19085 23596 29495 31532 38170 39415 58990 64889 76340 78830 86713 117980 129778 134011 157660 173426 259556 268022 324445 346852 433565 536044 648890 670055 867130 1297780 1340110 1474121 1734260 2680220 2735401 2948242 5470802 5896484 7370605 10941604 13677005 14741210 27354010 29482420 30089411 46501817 54708020 60178822 93003634 120357644 150447055 186007268 232509085 300894110 465018170 511519987 601788220 930036340 1023039974 2046079948 2557599935 5115199870 10230399740