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10441314100 = 2252773204331
BaseRepresentation
bin10011011100101100…
…11100111100110100
3222221200011201021001
421232112130330310
5132340434022400
64444025333044
7516513463660
oct115626347464
928850151231
1010441314100
114478938908
122034937184
13ca5265789
147109dd8a0
154119d2a6a
hex26e59cf34

10441314100 has 72 divisors (see below), whose sum is σ = 26249306048. Its totient is φ = 3530822400.

The previous prime is 10441314097. The next prime is 10441314139. The reversal of 10441314100 is 141314401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51066 + ... + 153265.

Almost surely, 210441314100 is an apocalyptic number.

10441314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441314100 is an abundant number, since it is smaller than the sum of its proper divisors (15807991948).

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

10441314100 is a wasteful number, since it uses less digits than its factorization.

10441314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204425 (or 204418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10441314100 its reverse (141314401), we get a palindrome (10582628501).

The spelling of 10441314100 in words is "ten billion, four hundred forty-one million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1460 1825 2044 2555 3650 5110 7300 10220 12775 25550 51100 204331 408662 817324 1021655 1430317 2043310 2860634 4086620 5108275 5721268 7151585 10216550 14303170 14916163 20433100 28606340 29832326 35757925 59664652 71515850 74580815 104413141 143031700 149161630 208826282 298323260 372904075 417652564 522065705 745808150 1044131410 1491616300 2088262820 2610328525 5220657050 10441314100