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220210202101122 = 23217719641183337
BaseRepresentation
bin110010000100011110101110…
…110111110100010110000010
31001212200220000121102200110200
4302010132232313310112002
5212330410443214213442
62100203100440110030
764245443043613452
oct6204365667642602
91055626017380420
10220210202101122
1164190693244112
1220846267165316
1395b496b3c09bc
143c54332c93d62
151a6d28cd7934c
hexc847aedf4582

220210202101122 has 24 divisors (see below), whose sum is σ = 505188110703276. Its totient is φ = 69085553600256.

The previous prime is 220210202101063. The next prime is 220210202101151. The reversal of 220210202101122 is 221101202012022.

It is a happy number.

220210202101122 is a `hidden beast` number, since 220 + 21 + 0 + 202 + 101 + 122 = 666.

220210202101122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 219191311722321 + 1018890378801 = 14805111^2 + 1009401^2 .

It is a super-2 number, since 2×2202102021011222 (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 junction number, because it is equal to n+sod(n) for n = 220210202101095 and 220210202101104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359820591363 + ... + 359820591974.

Almost surely, 2220210202101122 is an apocalyptic number.

220210202101122 is an abundant number, since it is smaller than the sum of its proper divisors (284977908602154).

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

220210202101122 is a wasteful number, since it uses less digits than its factorization.

220210202101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719641183362 (or 719641183359 counting only the distinct ones).

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

Adding to 220210202101122 its reverse (221101202012022), we get a palindrome (441311404113144).

It can be divided in two parts, 22021020 and 2101122, that added together give a palindrome (24122142).

The spelling of 220210202101122 in words is "two hundred twenty trillion, two hundred ten billion, two hundred two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 719641183337 1439282366674 2158923550011 4317847100022 6476770650033 12233900116729 12953541300066 24467800233458 36701700350187 73403400700374 110105101050561 220210202101122