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13402022300 = 22522931149077
BaseRepresentation
bin11000111101101001…
…01010000110011100
31021121000021021101022
430132310222012130
5204421404203200
610053511503312
7653054211212
oct143664520634
937530237338
1013402022300
115758101797
122720387b38
131357770914
14911cd8cb2
155368b4885
hex31ed2a19c

13402022300 has 72 divisors (see below), whose sum is σ = 31055928960. Its totient is φ = 5008953600.

The previous prime is 13402022287. The next prime is 13402022327. The reversal of 13402022300 is 322020431.

13402022300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134020223002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15362 + ... + 164438.

Almost surely, 213402022300 is an apocalyptic number.

13402022300 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 13402022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527964480).

13402022300 is an abundant number, since it is smaller than the sum of its proper divisors (17653906660).

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

13402022300 is a wasteful number, since it uses less digits than its factorization.

13402022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149151 (or 149144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 13402022300 its reverse (322020431), we get a palindrome (13724042731).

The spelling of 13402022300 in words is "thirteen billion, four hundred two million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 290 310 580 620 725 775 899 1450 1550 1798 2900 3100 3596 4495 8990 17980 22475 44950 89900 149077 298154 596308 745385 1490770 2981540 3726925 4323233 4621387 7453850 8646466 9242774 14907700 17292932 18485548 21616165 23106935 43232330 46213870 86464660 92427740 108080825 115534675 134020223 216161650 231069350 268040446 432323300 462138700 536080892 670101115 1340202230 2680404460 3350505575 6701011150 13402022300