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10241031312 = 24331911172
BaseRepresentation
bin10011000100110100…
…11011110010010000
3222102201022021221000
421202122123302100
5131433201000222
64412112502000
7511532221101
oct114232336220
928381267830
1010241031312
114385882446
121b9984a900
13c7290c855
146d21863a8
153ee11e9ac
hex26269bc90

10241031312 has 120 divisors (see below), whose sum is σ = 30970413600. Its totient is φ = 3231114624.

The previous prime is 10241031289. The next prime is 10241031337. The reversal of 10241031312 is 21313014201.

It is a super-3 number, since 3×102410313123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9167778 + ... + 9168894.

It is an arithmetic number, because the mean of its divisors is an integer number (258086780).

Almost surely, 210241031312 is an apocalyptic number.

10241031312 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 10241031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15485206800).

10241031312 is an abundant number, since it is smaller than the sum of its proper divisors (20729382288).

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

10241031312 is an equidigital number, since it uses as much as digits as its factorization.

10241031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10241031312 its reverse (21313014201), we get a palindrome (31554045513).

The spelling of 10241031312 in words is "ten billion, two hundred forty-one million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1117 1368 2052 2234 2736 3351 4104 4468 6702 8208 8936 10053 13404 17872 20106 21223 26808 30159 40212 42446 53616 60318 63669 80424 84892 120636 127338 160848 169784 191007 241272 254676 339568 382014 482544 509352 573021 764028 1018704 1146042 1247689 1528056 2292084 2495378 3056112 3743067 4584168 4990756 7486134 9168336 9981512 11229201 14972268 19963024 22458402 23706091 29944536 33687603 44916804 47412182 59889072 67375206 71118273 89833608 94824364 134750412 142236546 179667216 189648728 213354819 269500824 284473092 379297456 426709638 539001648 568946184 640064457 853419276 1137892368 1280128914 1706838552 2560257828 3413677104 5120515656 10241031312