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214242131103100 = 225218791140192289
BaseRepresentation
bin110000101101101000100010…
…000111101100110101111100
31001002120100101110221111012021
4300231220202013230311330
5211040120341030244400
62035353250514245524
763061324505261512
oct6055504207546574
91032510343844167
10214242131103100
116229a6397aa501
12200416882868a4
139270c3bc724a9
143ac95357a64b2
1519b7de205671a
hexc2da221ecd7c

214242131103100 has 36 divisors (see below), whose sum is σ = 465152846628400. Its totient is φ = 85651244674560.

The previous prime is 214242131103079. The next prime is 214242131103101. The reversal of 214242131103100 is 1301131242412.

214242131103100 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 2×2142421311031002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214242131103101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569908245 + ... + 570284044.

Almost surely, 2214242131103100 is an apocalyptic number.

214242131103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214242131103100 is an abundant number, since it is smaller than the sum of its proper divisors (250910715525300).

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

214242131103100 is a wasteful number, since it uses less digits than its factorization.

214242131103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140194182 (or 1140194175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 214242131103100 its reverse (1301131242412), we get a palindrome (215543262345512).

The spelling of 214242131103100 in words is "two hundred fourteen trillion, two hundred forty-two billion, one hundred thirty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1879 3758 7516 9395 18790 37580 46975 93950 187900 1140192289 2280384578 4560769156 5700961445 11401922890 22803845780 28504807225 57009614450 114019228900 2142421311031 4284842622062 8569685244124 10712106555155 21424213110310 42848426220620 53560532775775 107121065551550 214242131103100