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201220100202 = 231141431799661
BaseRepresentation
bin1011101101100110100…
…1110001000001101010
3201020101101010012022210
42323121221301001222
511244044321201302
6232234513025550
720352264426312
oct2733151610152
9636341105283
10201220100202
1178378556580
1232bb82552b6
1315c8a030564
149a4c164442
15537a63066c
hex2ed9a7106a

201220100202 has 128 divisors (see below), whose sum is σ = 462811345920. Its totient is φ = 57774528000.

The previous prime is 201220100201. The next prime is 201220100203. The reversal of 201220100202 is 202001022102.

201220100202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201220100201) and next prime (201220100203).

It is not an unprimeable number, because it can be changed into a prime (201220100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20823252 + ... + 20832912.

It is an arithmetic number, because the mean of its divisors is an integer number (3615713640).

Almost surely, 2201220100202 is an apocalyptic number.

201220100202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231405672960).

201220100202 is an abundant number, since it is smaller than the sum of its proper divisors (261591245718).

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

201220100202 is a wasteful number, since it uses less digits than its factorization.

201220100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201220100202 its reverse (202001022102), we get a palindrome (403221122304).

The spelling of 201220100202 in words is "two hundred one billion, two hundred twenty million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 41 43 66 82 86 123 129 179 246 258 358 451 473 537 902 946 1074 1353 1419 1763 1969 2706 2838 3526 3938 5289 5907 7339 7697 9661 10578 11814 14678 15394 19322 19393 22017 23091 28983 38786 44034 46182 57966 58179 80729 84667 106271 116358 161458 169334 212542 242187 254001 315577 318813 396101 415423 484374 508002 631154 637626 792202 830846 946731 1188303 1246269 1729319 1893462 2376606 2492538 3458638 3471347 4357111 4569653 5187957 6942694 8714222 9139306 10375914 10414041 13071333 13708959 17032343 19022509 20828082 26142666 27417918 34064686 38045018 51097029 57067527 70902079 74360717 102194058 114135054 141804158 148721434 187355773 212706237 223082151 374711546 425412474 446164302 562067319 779922869 817967887 1124134638 1559845738 1635935774 2339768607 2453903661 3048789397 4679537214 4907807322 6097578794 9146368191 18292736382 33536683367 67073366734 100610050101 201220100202