Search a number
-
+
1121020211223 = 3211137571144751
BaseRepresentation
bin10000010100000010000…
…000101111000000010111
310222011112211022010200100
4100110002000233000113
5121331322133224343
62214553425345143
7143663632401123
oct20240200570027
93864484263610
101121020211223
113a2470758890
121613174981b3
1381933948693
143c38707c583
151e2610919d3
hex1050202f017

1121020211223 has 48 divisors (see below), whose sum is σ = 1782478444032. Its totient is φ = 673261200000.

The previous prime is 1121020211153. The next prime is 1121020211257. The reversal of 1121020211223 is 3221120201211.

1121020211223 is a `hidden beast` number, since 1 + 1 + 210 + 20 + 211 + 223 = 666.

It is not a de Polignac number, because 1121020211223 - 220 = 1121019162647 is a prime.

It is a super-3 number, since 3×11210202112233 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121020211196 and 1121020211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121020210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7672098 + ... + 7816848.

It is an arithmetic number, because the mean of its divisors is an integer number (37134967584).

Almost surely, 21121020211223 is an apocalyptic number.

1121020211223 is a deficient number, since it is larger than the sum of its proper divisors (661458232809).

1121020211223 is a wasteful number, since it uses less digits than its factorization.

1121020211223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145476 (or 145473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1121020211223 its reverse (3221120201211), we get a palindrome (4342140412434).

The spelling of 1121020211223 in words is "one trillion, one hundred twenty-one billion, twenty million, two hundred eleven thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 99 137 411 571 1233 1507 1713 4521 5139 6281 13563 18843 56529 78227 144751 234681 434253 704043 860497 1302759 1592261 2581491 4776783 7744473 14330349 19830887 59492661 82652821 178477983 218139757 247958463 654419271 743875389 909181031 1963257813 2727543093 8182629279 11323436477 33970309431 101910928293 124557801247 373673403741 1121020211223