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202102032100122 = 232711503289894159
BaseRepresentation
bin101101111100111110001011…
…110101001110101100011010
3222111120202200002212122002200
4231330332023311032230122
5202442214430204200442
61553500220344311030
760366250521336330
oct5574761365165432
9874522602778080
10202102032100122
1159439a99371120
121a800889772476
1388a01a8338b9b
1437c9b0d387b50
15185720e8aa34c
hexb7cf8bd4eb1a

202102032100122 has 96 divisors (see below), whose sum is σ = 547023322460160. Its totient is φ = 52389672233760.

The previous prime is 202102032100121. The next prime is 202102032100139. The reversal of 202102032100122 is 221001230201202.

202102032100122 is a `hidden beast` number, since 20 + 210 + 203 + 210 + 0 + 1 + 22 = 666.

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 = 202102032100095 and 202102032100104.

It is not an unprimeable number, because it can be changed into a prime (202102032100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144249922 + ... + 145644237.

It is an arithmetic number, because the mean of its divisors is an integer number (5698159608960).

Almost surely, 2202102032100122 is an apocalyptic number.

202102032100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202102032100122 is an abundant number, since it is smaller than the sum of its proper divisors (344921290360038).

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

202102032100122 is a wasteful number, since it uses less digits than its factorization.

202102032100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289894688 (or 289894685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202102032100122 its reverse (221001230201202), we get a palindrome (423103262301324).

The spelling of 202102032100122 in words is "two hundred two trillion, one hundred two billion, thirty-two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 503 693 1006 1386 1509 3018 3521 4527 5533 7042 9054 10563 11066 16599 21126 31689 33198 38731 49797 63378 77462 99594 116193 232386 348579 697158 289894159 579788318 869682477 1739364954 2029259113 2609047431 3188835749 4058518226 5218094862 6087777339 6377671498 9566507247 12175554678 18263332017 19133014494 22321850243 28699521741 36526664034 44643700486 57399043482 66965550729 133931101458 145816761977 200896652187 291633523954 401793304374 437450285931 874900571862 1020717333839 1312350857793 1603984381747 2041434667678 2624701715586 3062152001517 3207968763494 4811953145241 6124304003034 9186456004551 9623906290482 11227890672229 14435859435723 18372912009102 22455781344458 28871718871446 33683672016687 67367344033374 101051016050061 202102032100122