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13402021200 = 2435211168351
BaseRepresentation
bin11000111101101001…
…01001110101010000
31021121000021012212120
430132310221311100
5204421404134300
610053511454240
7653054205051
oct143664516520
937530235776
1013402021200
115758100987
122720387380
131357770279
14911cd8728
155368b43a0
hex31ed29d50

13402021200 has 60 divisors (see below), whose sum is σ = 42931145088. Its totient is φ = 3573872000.

The previous prime is 13402021187. The next prime is 13402021211. The reversal of 13402021200 is 212020431.

13402021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×134020212002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13402021200.

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 11 ways as a sum of consecutive naturals, for example, 5582976 + ... + 5585375.

Almost surely, 213402021200 is an apocalyptic number.

13402021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402021200 is an abundant number, since it is smaller than the sum of its proper divisors (29529123888).

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

13402021200 is a wasteful number, since it uses less digits than its factorization.

13402021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168372 (or 11168361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13402021200 its reverse (212020431), we get a palindrome (13614041631).

The spelling of 13402021200 in words is "thirteen billion, four hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11168351 22336702 33505053 44673404 55841755 67010106 89346808 111683510 134020212 167525265 178693616 223367020 268040424 279208775 335050530 446734040 536080848 558417550 670101060 837626325 893468080 1116835100 1340202120 1675252650 2233670200 2680404240 3350505300 4467340400 6701010600 13402021200