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201120110211220 = 225291300926655301
BaseRepresentation
bin101101101110101011101100…
…101110011111000010010100
3222101002220011021121101220221
4231232223230232133002110
5202330122441203224340
61551425145250404124
760235306551110464
oct5556535456370224
9871086137541827
10201120110211220
11590a0618029712
121a682511b90644
13882b71151c305
14379439dca1ba4
15183b8e02cb44a
hexb6eaecb9f094

201120110211220 has 48 divisors (see below), whose sum is σ = 436949703565200. Its totient is φ = 77667999897600.

The previous prime is 201120110211193. The next prime is 201120110211269. The reversal of 201120110211220 is 22112011021102.

It can be written as a sum of positive squares in 8 ways, for example, as 2202766525584 + 198917343685636 = 1484172^2 + 14103806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201120110211194 and 201120110211203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782431 + ... + 20872870.

It is an arithmetic number, because the mean of its divisors is an integer number (9103118824275).

Almost surely, 2201120110211220 is an apocalyptic number.

201120110211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120110211220 is an abundant number, since it is smaller than the sum of its proper divisors (235829593353980).

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

201120110211220 is a wasteful number, since it uses less digits than its factorization.

201120110211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26668348 (or 26668346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201120110211220 its reverse (22112011021102), we get a palindrome (223232121232322).

The spelling of 201120110211220 in words is "two hundred one trillion, one hundred twenty billion, one hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 13009 26018 52036 65045 130090 260180 377261 754522 1509044 1886305 3772610 7545220 26655301 53310602 106621204 133276505 266553010 533106020 773003729 1546007458 3092014916 3865018645 7730037290 15460074580 346758810709 693517621418 1387035242836 1733794053545 3467588107090 6935176214180 10056005510561 20112011021122 40224022042244 50280027552805 100560055105610 201120110211220