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101121021222 = 231321711351913
BaseRepresentation
bin101111000101101001…
…0000101010100100110
3100200000022001010021020
41132023102011110212
53124043440134342
6114242050232010
710206605332644
oct1361322052446
9320008033236
10101121021222
11399811a8a21
1217721285606
1396c6b40600
144c73cb2194
15296c8740ec
hex178b485526

101121021222 has 96 divisors (see below), whose sum is σ = 233934451488. Its totient is φ = 29024206848.

The previous prime is 101121021217. The next prime is 101121021223. The reversal of 101121021222 is 222120121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121021223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921938 + ... + 1973850.

It is an arithmetic number, because the mean of its divisors is an integer number (2436817203).

Almost surely, 2101121021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116967225744).

101121021222 is an abundant number, since it is smaller than the sum of its proper divisors (132813430266).

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

101121021222 is a wasteful number, since it uses less digits than its factorization.

101121021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52074 (or 52061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101121021222 its reverse (222120121101), we get a palindrome (323241142323).

The spelling of 101121021222 in words is "one hundred one billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 113 169 221 226 338 339 442 507 663 678 1014 1326 1469 1921 2873 2938 3842 4407 5746 5763 8619 8814 11526 17238 19097 24973 38194 49946 51913 57291 74919 103826 114582 149838 155739 311478 324649 649298 674869 882521 973947 1349738 1765042 1947894 2024607 2647563 4049214 5295126 5866169 8773297 11472773 11732338 17546594 17598507 22945546 26319891 34418319 35197014 52639782 68836638 76260197 99724873 149146049 152520394 199449746 228780591 298292098 299174619 447438147 457561182 598349238 894876294 991382561 1296423349 1982765122 2592846698 2974147683 3889270047 5948295366 7778540094 16853503537 33707007074 50560510611 101121021222