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10121123221 = 1129157202087
BaseRepresentation
bin10010110110100010…
…00001010110010101
3222010100200022221121
421123101001112111
5131212001420341
64352150443541
7505545061606
oct113321012625
928110608847
1010121123221
114324123750
121b656635b1
13c53b18711
146c0291dad
153e38364d1
hex25b441595

10121123221 has 16 divisors (see below), whose sum is σ = 11494765440. Its totient is φ = 8827116480.

The previous prime is 10121123203. The next prime is 10121123231. The reversal of 10121123221 is 12232112101.

It is a cyclic number.

It is not a de Polignac number, because 10121123221 - 213 = 10121115029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121123195 and 10121123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121123231) 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, 50961 + ... + 151126.

It is an arithmetic number, because the mean of its divisors is an integer number (718422840).

Almost surely, 210121123221 is an apocalyptic number.

10121123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121123221 is a deficient number, since it is larger than the sum of its proper divisors (1373642219).

10121123221 is a wasteful number, since it uses less digits than its factorization.

10121123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202284.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10121123221 its reverse (12232112101), we get a palindrome (22353235322).

The spelling of 10121123221 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 11 29 157 319 1727 4553 50083 202087 2222957 5860523 31727659 64465753 349004249 920102111 10121123221