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10420114300 = 22521731319583
BaseRepresentation
bin10011011010001011…
…00101001101111100
3222220012021122121021
421231011211031330
5132320022124200
64441551113524
7516135336661
oct115505451574
928805248537
1010420114300
114467979112
1220298128a4
13ca0a5220b
1470bc81a68
1540ebe641a
hex26d16537c

10420114300 has 72 divisors (see below), whose sum is σ = 24019462656. Its totient is φ = 3910133760.

The previous prime is 10420114259. The next prime is 10420114301. The reversal of 10420114300 is 341102401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420114301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522309 + ... + 541891.

It is an arithmetic number, because the mean of its divisors is an integer number (333603648).

Almost surely, 210420114300 is an apocalyptic number.

10420114300 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 10420114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009731328).

10420114300 is an abundant number, since it is smaller than the sum of its proper divisors (13599348356).

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

10420114300 is a wasteful number, since it uses less digits than its factorization.

10420114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19927 (or 19920 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10420114300 its reverse (341102401), we get a palindrome (10761216701).

The spelling of 10420114300 in words is "ten billion, four hundred twenty million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 313 340 425 626 850 1252 1565 1700 3130 5321 6260 7825 10642 15650 19583 21284 26605 31300 39166 53210 78332 97915 106420 133025 195830 266050 332911 391660 489575 532100 665822 979150 1331644 1664555 1958300 3329110 6129479 6658220 8322775 12258958 16645550 24517916 30647395 33291100 61294790 104201143 122589580 153236975 208402286 306473950 416804572 521005715 612947900 1042011430 2084022860 2605028575 5210057150 10420114300