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13342501100 = 22521920293461
BaseRepresentation
bin11000110110100011…
…00110100011101100
31021102212021021122102
430123101212203230
5204311140013400
610043544034232
7651432250055
oct143321464354
937385237572
1013342501100
115727548615
122704462978
131348330886
1490804372c
155315589d5
hex31b4668ec

13342501100 has 72 divisors (see below), whose sum is σ = 30500912400. Its totient is φ = 5052153600.

The previous prime is 13342501079. The next prime is 13342501177. The reversal of 13342501100 is 110524331.

13342501100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3853370 + ... + 3856830.

Almost surely, 213342501100 is an apocalyptic number.

13342501100 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 13342501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15250456200).

13342501100 is an abundant number, since it is smaller than the sum of its proper divisors (17158411300).

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

13342501100 is a wasteful number, since it uses less digits than its factorization.

13342501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 13342501100 in words is "thirteen billion, three hundred forty-two million, five hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 2029 3461 4058 6922 8116 10145 13844 17305 20290 34610 38551 40580 50725 65759 69220 77102 86525 101450 131518 154204 173050 192755 202900 263036 328795 346100 385510 657590 771020 963775 1315180 1643975 1927550 3287950 3855100 6575900 7022369 14044738 28089476 35111845 70223690 133425011 140447380 175559225 266850022 351118450 533700044 667125055 702236900 1334250110 2668500220 3335625275 6671250550 13342501100