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20211200211202 = 27211132110939611
BaseRepresentation
bin1001001100001110010010…
…11010001011100100000010
32122120011122021220212112021
410212013021122023210002
510122120014223224302
6110552521443352054
74154132245135600
oct446071132134402
978504567825467
1020211200211202
116492581683730
12232509608262a
13b37ba5b59a00
144dc327a48870
15250b16746437
hex1261c968b902

20211200211202 has 72 divisors (see below), whose sum is σ = 41659599339792. Its totient is φ = 7268763247200.

The previous prime is 20211200211161. The next prime is 20211200211221.

It is a happy number.

20211200211202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×202112002112022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55287624 + ... + 55651987.

It is an arithmetic number, because the mean of its divisors is an integer number (578605546386).

Almost surely, 220211200211202 is an apocalyptic number.

20211200211202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20211200211202 is an abundant number, since it is smaller than the sum of its proper divisors (21448399128590).

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

20211200211202 is a wasteful number, since it uses less digits than its factorization.

20211200211202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110939664 (or 110939644 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 20211200 and 211202, that added together give a palindrome (20422402).

The spelling of 20211200211202 in words is "twenty trillion, two hundred eleven billion, two hundred million, two hundred eleven thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 169 182 286 338 539 637 1001 1078 1183 1274 1859 2002 2366 3718 7007 8281 13013 14014 16562 26026 91091 182182 110939611 221879222 776577277 1220335721 1442214943 1553154554 2440671442 2884429886 5436040939 8542350047 10095504601 10872081878 15864364373 17084700094 18748794259 20191009202 31728728746 37497588518 59796450329 70668532207 111050550611 119592900658 131241559813 141337064414 206236736849 222101101222 262483119626 412473473698 777353854277 918690918691 1443657157943 1554707708554 1837381837382 2887314315886 10105600105601 20211200211202