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10412423100 = 2233526757559
BaseRepresentation
bin10011011001010000…
…01111011110111100
3222212122210220021000
421230220033132330
5132311040014400
64441114210300
7516013064442
oct115450173674
928778726230
1010412423100
1144635a5652
122027123990
13c9c28b501
1470ac3cb92
1540e1c7600
hex26ca0f7bc

10412423100 has 144 divisors (see below), whose sum is σ = 33974214400. Its totient is φ = 2735156160.

The previous prime is 10412423093. The next prime is 10412423129. The reversal of 10412423100 is 132421401.

It is a super-2 number, since 2×104124231002 (a number of 21 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 152121 + ... + 209679.

Almost surely, 210412423100 is an apocalyptic number.

10412423100 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 10412423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987107200).

10412423100 is an abundant number, since it is smaller than the sum of its proper divisors (23561791300).

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

10412423100 is a wasteful number, since it uses less digits than its factorization.

10412423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57649 (or 57636 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10412423100 its reverse (132421401), we get a palindrome (10544844501).

The spelling of 10412423100 in words is "ten billion, four hundred twelve million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 201 225 268 270 300 335 402 450 540 603 670 675 804 900 1005 1206 1340 1350 1675 1809 2010 2412 2700 3015 3350 3618 4020 5025 6030 6700 7236 9045 10050 12060 15075 18090 20100 30150 36180 45225 57559 60300 90450 115118 172677 180900 230236 287795 345354 518031 575590 690708 863385 1036062 1151180 1438975 1554093 1726770 2072124 2590155 2877950 3108186 3453540 3856453 4316925 5180310 5755900 6216372 7712906 7770465 8633850 10360620 11569359 12950775 15425812 15540930 17267700 19282265 23138718 25901550 31081860 34708077 38564530 38852325 46277436 51803100 57846795 69416154 77129060 77704650 96411325 104124231 115693590 138832308 155409300 173540385 192822650 208248462 231387180 289233975 347080770 385645300 416496924 520621155 578467950 694161540 867701925 1041242310 1156935900 1735403850 2082484620 2603105775 3470807700 5206211550 10412423100