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10243441032 = 233111271931583
BaseRepresentation
bin10011000101000111…
…01000000110001000
3222102212211201102220
421202203220012020
5131434310103112
64412240254040
7511561545366
oct114243500610
928385751386
1010243441032
114387178950
121b9a611320
13c73274616
146d2612636
153ee44898c
hex2628e8188

10243441032 has 128 divisors (see below), whose sum is σ = 28320399360. Its totient is φ = 3061739520.

The previous prime is 10243441003. The next prime is 10243441049. The reversal of 10243441032 is 23014434201.

It is a super-2 number, since 2×102434410322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10243440993 and 10243441011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6470113 + ... + 6471695.

It is an arithmetic number, because the mean of its divisors is an integer number (221253120).

Almost surely, 210243441032 is an apocalyptic number.

10243441032 is a gapful number since it is divisible by the number (12) 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 10243441032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160199680).

10243441032 is an abundant number, since it is smaller than the sum of its proper divisors (18076958328).

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

10243441032 is a wasteful number, since it uses less digits than its factorization.

10243441032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10243441032 its reverse (23014434201), we get a palindrome (33257875233).

The spelling of 10243441032 in words is "ten billion, two hundred forty-three million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 193 254 264 381 386 508 579 762 772 1016 1158 1397 1524 1544 1583 2123 2316 2794 3048 3166 4191 4246 4632 4749 5588 6332 6369 8382 8492 9498 11176 12664 12738 16764 16984 17413 18996 24511 25476 33528 34826 37992 49022 50952 52239 69652 73533 98044 104478 139304 147066 196088 201041 208956 269621 294132 305519 402082 417912 539242 588264 603123 611038 804164 808863 916557 1078484 1206246 1222076 1608328 1617726 1833114 2156968 2211451 2412492 2444152 3235452 3360709 3666228 4422902 4824984 6470904 6634353 6721418 7332456 8845804 10082127 13268706 13442836 17691608 20164254 26537412 26885672 38800913 40328508 53074824 77601826 80657016 116402739 155203652 232805478 310407304 426810043 465610956 853620086 931221912 1280430129 1707240172 2560860258 3414480344 5121720516 10243441032