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202021200112221 = 3374782261276467
BaseRepresentation
bin101101111011110010111001…
…110111101010101001011101
3222111022001000210020012021000
4231323302321313222221131
5202434403404212042341
61553355131430300513
760360356444643120
oct5573627167525135
9874261023205230
10202021200112221
1159408789866236
121a7a908b1b7739
138895695a31449
1437c5c41d183b7
15185507d3468b6
hexb7bcb9deaa5d

202021200112221 has 64 divisors (see below), whose sum is σ = 349329571061760. Its totient is φ = 112982718818880.

The previous prime is 202021200112219. The next prime is 202021200112229. The reversal of 202021200112221 is 122211002120202.

It is a happy number.

It is not a de Polignac number, because 202021200112221 - 21 = 202021200112219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202021200112194 and 202021200112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202021200112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730586230 + ... + 730862696.

It is an arithmetic number, because the mean of its divisors is an integer number (5458274547840).

Almost surely, 2202021200112221 is an apocalyptic number.

202021200112221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202021200112221 is a deficient number, since it is larger than the sum of its proper divisors (147308370949539).

202021200112221 is a wasteful number, since it uses less digits than its factorization.

202021200112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358791 (or 358785 counting only the distinct ones).

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

Adding to 202021200112221 its reverse (122211002120202), we get a palindrome (324232202232423).

The spelling of 202021200112221 in words is "two hundred two trillion, twenty-one billion, two hundred million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 8883 82261 246783 276467 575827 740349 829401 1727481 1935269 2221047 2488203 3866267 5182443 5805807 7464609 11598801 12993949 15547329 17417421 27063869 34796403 38981847 52252263 81191607 90957643 104389209 116945541 243574821 272872929 350836623 730724463 818618787 2455856361 22742451887 68227355661 159197163209 204682066983 477591489627 614046200949 1068895238689 1432774468881 3206685716067 4298323406643 7482266670823 9620057148201 22446800012469 28860171444603 67340400037407 202021200112221