Search a number
-
+
10200112120121 = 711241549663853
BaseRepresentation
bin1001010001101110011000…
…0011110100000100111001
31100010010021100111020012212
42110123212003310010321
52314104312200320441
633405511122144505
72101635200323160
oct224334603640471
940103240436185
1010200112120121
113282930414780
121188a24ab2135
1358cb35772a61
1427398c0783d7
1512a4dd162eeb
hex946e60f4139

10200112120121 has 16 divisors (see below), whose sum is σ = 12769790656128. Its totient is φ = 7915159468800.

The previous prime is 10200112120109. The next prime is 10200112120181. The reversal of 10200112120121 is 12102121100201.

It is a cyclic number.

It is not a de Polignac number, because 10200112120121 - 26 = 10200112120057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10200112120096 and 10200112120105.

It is not an unprimeable number, because it can be changed into a prime (10200112120181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274813370 + ... + 274850483.

It is an arithmetic number, because the mean of its divisors is an integer number (798111916008).

Almost surely, 210200112120121 is an apocalyptic number.

10200112120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200112120121 is a deficient number, since it is larger than the sum of its proper divisors (2569678536007).

10200112120121 is a wasteful number, since it uses less digits than its factorization.

10200112120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549664112.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10200112120121 its reverse (12102121100201), we get a palindrome (22302233220322).

The spelling of 10200112120121 in words is "ten trillion, two hundred billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 77 241 1687 2651 18557 549663853 3847646971 6046302383 42324116681 132468988573 927282920011 1457158874303 10200112120121