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202201100212212 = 223240949137163233
BaseRepresentation
bin101101111110011010011100…
…110000000101011111110100
3222111221020101100000011110100
4231332122130300011133310
5203000330323123242322
61554013523021554100
760406355521365423
oct5576323460053764
9874836340004410
10202201100212212
1159478006775022
121a817b17415930
1388a9635a6885a
1437d082a74b2ba
151859aabdb9dac
hexb7e69cc057f4

202201100212212 has 36 divisors (see below), whose sum is σ = 511131933339300. Its totient is φ = 67398720287232.

The previous prime is 202201100212211. The next prime is 202201100212219. The reversal of 202201100212212 is 212212001102202.

It is a happy number.

202201100212212 is a `hidden beast` number, since 20 + 220 + 1 + 1 + 0 + 0 + 212 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57853274425956 + 144347825786256 = 7606134^2 + 12014484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2022011002122122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201100212211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67107453 + ... + 70055780.

It is an arithmetic number, because the mean of its divisors is an integer number (14198109259425).

Almost surely, 2202201100212212 is an apocalyptic number.

It is an amenable number.

202201100212212 is an abundant number, since it is smaller than the sum of its proper divisors (308930833127088).

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

202201100212212 is a wasteful number, since it uses less digits than its factorization.

202201100212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137204192 (or 137204187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202201100212212 its reverse (212212001102202), we get a palindrome (414413101314414).

The spelling of 202201100212212 in words is "two hundred two trillion, two hundred one billion, one hundred million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 40949 81898 122847 163796 245694 368541 491388 737082 1474164 137163233 274326466 411489699 548652932 822979398 1234469097 1645958796 2468938194 4937876388 5616697228117 11233394456234 16850091684351 22466788912468 33700183368702 50550275053053 67400366737404 101100550106106 202201100212212