Search a number
-
+
11222011121022 = 23213163642145821
BaseRepresentation
bin1010001101001101001111…
…1111001000110101111110
31110201210222020202011110100
42203103103333020311332
52432330134321333042
635511153140221530
72235522616444662
oct243232377106576
943653866664410
1011222011121022
1136372567a2119
121312a9899a8a6
1363530098a0a0
142ab210a908a2
15146d9c20724c
hexa34d3fc8d7e

11222011121022 has 96 divisors (see below), whose sum is σ = 26350012948896. Its totient is φ = 3431133561600.

The previous prime is 11222011121017. The next prime is 11222011121039. The reversal of 11222011121022 is 22012111022211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11222011120986 and 11222011121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244886872 + ... + 244932692.

It is an arithmetic number, because the mean of its divisors is an integer number (274479301551).

Almost surely, 211222011121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222011121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175006474448).

11222011121022 is an abundant number, since it is smaller than the sum of its proper divisors (15128001827874).

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

11222011121022 is a wasteful number, since it uses less digits than its factorization.

11222011121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52426 (or 52423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11222011121022 its reverse (22012111022211), we get a palindrome (33234122143233).

The spelling of 11222011121022 in words is "eleven trillion, two hundred twenty-two billion, eleven million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1467 2119 2934 4238 6357 6421 12714 12842 19071 19263 38142 38526 45821 57789 83473 91642 115578 137463 166946 250419 274926 412389 500838 595673 751257 824778 1046623 1191346 1502514 1787019 2093246 3139869 3574038 5361057 6279738 7468823 9419607 10722114 13606099 14937646 18839214 22406469 27212198 40818297 44812938 67219407 81636594 97094699 122454891 134438814 194189398 244909782 291284097 294216641 582568194 588433282 873852291 882649923 1747704582 1765299846 2647949769 3824816333 5295899538 7649632666 11474448999 22948897998 34423346997 47957312483 68846693994 95914624966 143871937449 287743874898 431615812347 623445062279 863231624694 1246890124558 1870335186837 3740670373674 5611005560511 11222011121022