Search a number
-
+
11020120102121 = 1310138929097417
BaseRepresentation
bin1010000001011101001001…
…0110000001010011101001
31110000111212010011202200212
42200113102112001103221
52421023201221231441
635234323455110505
72215114564215224
oct240272226012351
943014763152625
1011020120102121
11356967455a489
12129b933b12435
1361c267960220
142a153b7a25bb
151419d2c4aeeb
hexa05d25814e9

11020120102121 has 32 divisors (see below), whose sum is σ = 12021886749600. Its totient is φ = 10041002956800.

The previous prime is 11020120101989. The next prime is 11020120102129. The reversal of 11020120102121 is 12120102102011.

It can be written as a sum of positive squares in 16 ways, for example, as 36437083225 + 10983683018896 = 190885^2 + 3314164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11020120102121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11020120102096 and 11020120102105.

It is not an unprimeable number, because it can be changed into a prime (11020120102129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485788405 + ... + 1485795821.

It is an arithmetic number, because the mean of its divisors is an integer number (375683960925).

Almost surely, 211020120102121 is an apocalyptic number.

It is an amenable number.

11020120102121 is a deficient number, since it is larger than the sum of its proper divisors (1001766647479).

11020120102121 is a wasteful number, since it uses less digits than its factorization.

11020120102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10829.

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

Adding to 11020120102121 its reverse (12120102102011), we get a palindrome (23140222204132).

The spelling of 11020120102121 in words is "eleven trillion, twenty billion, one hundred twenty million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 13 101 389 1313 2909 5057 7417 37817 39289 96421 293809 510757 749117 1131601 2885213 3819517 9738521 14710813 21576053 37507769 114291701 280488689 291406513 1485792113 2179181353 3788284669 8393084617 28329357589 109110100021 847701546317 11020120102121