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11200211000022 = 231137109271155269
BaseRepresentation
bin1010001011111100000010…
…0110010001101011010110
31110122201200221222021102110
42202333000212101223112
52432001013004000042
635453150024051450
72234121445460622
oct242770046215326
943581627867373
1011200211000022
113628a8a1365a0
12130a814003b86
1363323837c2c5
142aa1436a0182
1514652340c09c
hexa2fc0991ad6

11200211000022 has 128 divisors (see below), whose sum is σ = 25421152204800. Its totient is φ = 3259882713600.

The previous prime is 11200210999981. The next prime is 11200211000039. The reversal of 11200211000022 is 22000011200211.

It is a junction number, because it is equal to n+sod(n) for n = 11200210999971 and 11200211000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72056604 + ... + 72211872.

It is an arithmetic number, because the mean of its divisors is an integer number (198602751600).

Almost surely, 211200211000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200211000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710576102400).

11200211000022 is an abundant number, since it is smaller than the sum of its proper divisors (14220941204778).

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

11200211000022 is a wasteful number, since it uses less digits than its factorization.

11200211000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155702.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200211000022 its reverse (22000011200211), we get a palindrome (33200222200233).

The spelling of 11200211000022 in words is "eleven trillion, two hundred billion, two hundred eleven million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 37 66 74 109 111 218 222 271 327 407 542 654 813 814 1199 1221 1626 2398 2442 2981 3597 4033 5962 7194 8066 8943 10027 12099 17886 20054 24198 29539 30081 44363 59078 60162 88617 88726 110297 133089 155269 177234 220594 266178 310538 324929 330891 465807 649858 661782 931614 974787 1092943 1707959 1949574 2185886 3278829 3415918 5123877 5744953 6557658 10247754 11489906 12022373 16924321 17234859 24044746 33848642 34469718 36067119 42077899 50772963 63194483 72134238 84155798 101545926 126233697 126388966 186167531 189583449 252467394 372335062 379166898 462856889 558502593 626199877 925713778 1117005186 1252399754 1388570667 1556882263 1878599631 2777141334 3113764526 3757199262 4586490991 4670646789 6888198647 9172981982 9341293578 13759472973 13776397294 17125704893 20664595941 27518945946 34251409786 41329191882 50451400901 51377114679 100902801802 102754229358 151354202703 169700166667 302708405406 339400333334 509100500001 1018201000002 1866701833337 3733403666674 5600105500011 11200211000022