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10201402420 = 22511313148147
BaseRepresentation
bin10011000000000110…
…10000110000110100
3222022221201221022021
421200003100300310
5131343024334140
64404135242524
7510541330006
oct114003206064
928287657267
1010201402420
1143654756a0
121b88519444
13c67645bc1
146cabcc376
153ea8e2b4a
hex2600d0c34

10201402420 has 48 divisors (see below), whose sum is σ = 23445309888. Its totient is φ = 3697724160.

The previous prime is 10201402403. The next prime is 10201402427. The reversal of 10201402420 is 2420410201.

It is a super-2 number, since 2×102014024202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201402394 and 10201402403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201402427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5214 + ... + 142933.

It is an arithmetic number, because the mean of its divisors is an integer number (488443956).

Almost surely, 210201402420 is an apocalyptic number.

10201402420 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 10201402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722654944).

10201402420 is an abundant number, since it is smaller than the sum of its proper divisors (13243907468).

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

10201402420 is a wasteful number, since it uses less digits than its factorization.

10201402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148480 (or 148478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10201402420 its reverse (2420410201), we get a palindrome (12621812621).

The spelling of 10201402420 in words is "ten billion, two hundred one million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 3130 3443 6260 6886 13772 17215 34430 68860 148147 296294 592588 740735 1481470 1629617 2962940 3259234 6518468 8148085 16296170 32592340 46370011 92740022 185480044 231850055 463700110 510070121 927400220 1020140242 2040280484 2550350605 5100701210 10201402420